source: trunk/src/series/civ_series.m @ 1122

Last change on this file since 1122 was 1122, checked in by sommeria, 18 months ago

various updates

File size: 69.4 KB
Line 
1%'civ_series': PIV function activated by the general GUI series
2% --- call the sub-functions:
3%   civ: PIV function itself
4%   fix: removes false vectors after detection by various criteria
5%   filter_tps: make interpolation-smoothing
6%------------------------------------------------------------------------
7% function [Data,errormsg,result_conv]= civ_series(Param)
8%
9%OUTPUT
10% Data=structure containing the PIV results and information on the processing parameters
11% errormsg=error message char string, decd ..fault=''
12% resul_conv: image inter-correlation function for the last grid point (used for tests)
13%
14%INPUT:
15% Param: Matlab structure of input  parameters
16%     Param contains info of the GUI series using the fct read_GUI.
17%     Param.Action.RUN = 0 (to set the status of the GUI series) or =1 to RUN the computation
18%     Param.InputTable: sets the input file(s)
19%           if absent, the fct looks for input data in Param.ActionInput     (test mode)
20%     Param.OutputSubDir: sets the folder name of output file(s,
21%           if absent no file is produced, result in the output structure Data (test mode)
22%     Param.ActionInput: substructure with the parameters provided by the GUI civ_input
23%                      .Civ1: parameters for civ1
24%                      .Fix1: parameters for fix1
25%                      .Patch1:
26%                      .Civ2: for civ2
27%                      .Fix2:
28%                      .Patch2:
29
30%=======================================================================
31% Copyright 2008-2022, LEGI UMR 5519 / CNRS UGA G-INP, Grenoble, France
32%   http://www.legi.grenoble-inp.fr
33%   Joel.Sommeria - Joel.Sommeria (A) legi.cnrs.fr
34%
35%     This file is part of the toolbox UVMAT.
36%
37%     UVMAT is free software; you can redistribute it and/or modify
38%     it under the terms of the GNU General Public License as published
39%     by the Free Software Foundation; either version 2 of the license,
40%     or (at your option) any later version.
41%
42%     UVMAT is distributed in the hope that it will be useful,
43%     but WITHOUT ANY WARRANTY; without even the implied warranty of
44%     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
45%     GNU General Public License (see LICENSE.txt) for more details.
46%=======================================================================
47
48function [Data,errormsg,result_conv]= civ_series(Param)
49errormsg='';
50
51%% set the input elements needed on the GUI series when the action is selected in the menu ActionName or InputTable refreshed
52if isstruct(Param) && isequal(Param.Action.RUN,0)% function activated from the GUI series but not RUN
53    path_series=fileparts(which('series'));
54    addpath(fullfile(path_series,'series'))
55    Data=civ_input(Param);% introduce the civ parameters using the GUI civ_input
56    %Data=civ_input_App(Param);% introduce the civ parameters using the GUI civ_input
57    if isempty(Data)
58        Data=Param;% if  civ_input has been cancelled, keep previous parameters
59    end
60    Data.Program=mfilename;%gives the name of the current function
61    Data.AllowInputSort='off';% allow alphabetic sorting of the list of input file SubDir (options 'off'/'on', 'off' by default)
62    Data.WholeIndexRange='off';% prescribes the file index ranges from min to max (options 'off'/'on', 'off' by default)
63    Data.NbSlice='off'; %nbre of slices ('off' by default)
64    Data.VelType='off';% menu for selecting the velocity type (options 'off'/'one'/'two',  'off' by default)
65    Data.FieldName='on';% menu for selecting the field (s) in the input file(options 'off'/'one'/'two', 'off' by default)
66    Data.FieldTransform = 'off';%can use a transform function
67    Data.ProjObject='off';%can use projection object(option 'off'/'on',
68    Data.Mask='off';%can use mask option   (option 'off'/'on', 'off' by default)
69    Data.OutputDirExt='.civ';%set the output dir extension
70    Data.OutputSubDirMode='last'; %select the last subDir in the input table as root of the output subdir name (option 'all'/'first'/'last', 'all' by default)
71    Data.OutputFileMode='NbInput_i';% one output file expected per value of i index (used for waitbar)
72    Data.CheckOverwriteVisible='on'; % manage the overwrite of existing files (default=1)
73    if isfield(Data,'ActionInput') && isfield(Data.ActionInput,'PairIndices') && strcmp(Data.ActionInput.PairIndices.ListPairMode,'pair j1-j2')
74        if isfield(Data.ActionInput.PairIndices,'ListPairCiv2')
75            str_civ=Data.ActionInput.PairIndices.ListPairCiv2;
76        else
77            str_civ=Data.ActionInput.PairIndices.ListPairCiv1;
78        end
79        r=regexp(str_civ,'^j= (?<num1>[a-z])-(?<num2>[a-z])','names');
80        if isempty(r)
81            r=regexp(str_civ,'^j= (?<num1>[A-Z])-(?<num2>[A-Z])','names');
82            if isempty(r)
83                r=regexp(str_civ,'^j= (?<num1>\d+)-(?<num2>\d+)','names');
84            end
85        end
86        if ~isempty(r)
87            Data.j_index_1=stra2num(r.num1);
88            Data.j_index_2=stra2num(r.num2);
89        end
90    end
91    % estimated CPUTime
92%     CPUtime_unit=0.01;%estimated time for a multiplication (in microsecond)
93%     if isfield(Param.SeriesData,'FileInfo')&&isfield(Param.SeriesData.FileInfo{1},'Height')&&isfield(Param.SeriesData.FileInfo{1},'Width')
94%         pixnbre=Param.SeriesData.FileInfo{1}.Height*Param.SeriesData.FileInfo{1}.Width; % total number of pxels for input images 
95%         CPUtime=0;
96%         if isfield(Data.ActionInput,'Civ1')
97%             %BoxSize=Data.ActionInput.Civ1.CorrBoxSize(1)*Data.ActionInput.Civ1.CorrBoxSize(2);
98%             tic
99%             testboxa=rand(Data.ActionInput.Civ1.CorrBoxSize(1),Data.ActionInput.Civ1.CorrBoxSize(2));
100%             testboxb=rand(Data.ActionInput.Civ1.SearchBoxSize(1),Data.ActionInput.Civ1.SearchBoxSize(2));
101%             anss=conv2(testboxa,testboxb);
102%             CPUtime_unit=toc;
103%             nb_box=pixnbre/(Data.ActionInput.Civ1.Dx*Data.ActionInput.Civ1.Dy);   
104%             %nbpos=Data.ActionInput.Civ1.SearchBoxSize-Data.ActionInput.Civ1.CorrBoxSize;
105%             CPUtime=2*CPUtime_unit*nb_box%*BoxSize*nbpos(1)*nbpos(2);% adjustement factor 2 used
106%         end
107%         if isfield(Data.ActionInput,'Patch1')
108%             CPUtime=2*CPUtime;
109%         end
110%         if isfield(Data.ActionInput,'Civ2')
111%             tic
112%             testboxa=rand(Data.ActionInput.Civ2.CorrBoxSize(1),Data.ActionInput.Civ2.CorrBoxSize(2));
113%             testboxb=rand(Data.ActionInput.Civ2.SearchBoxSize(1),Data.ActionInput.Civ2.SearchBoxSize(2));
114%             anss=conv2(testboxa,testboxb);
115%             CPUtime_unit=toc;
116%             nb_box=pixnbre/(Data.ActionInput.Civ2.Dx*Data.ActionInput.Civ2.Dy);
117%             %BoxSize=Data.ActionInput.Civ2.CorrBoxSize(1)*Data.ActionInput.Civ2.CorrBoxSize(2);
118%             %nbpos=Data.ActionInput.Civ2.SearchBoxSize-Data.ActionInput.Civ2.CorrBoxSize;
119%             CPUtime=CPUtime+2*CPUtime_unit*nb_box;%*BoxSize*nbpos(1)*nbpos(2);
120%         end
121%         if isfield(Data.ActionInput,'Patch2')
122%             CPUtime=(4/3)*CPUtime;
123%         end
124%         Data.CPUTime=ceil(CPUtime/6); % estimated CPU time per field pair in minute
125%         Data.CPUTime=Data.CPUTime/10; % displqy CPU time with 1 digit beyond dot
126%     end
127    return
128end
129
130%% read input parameters from an xml file if input is a file name (batch mode)
131checkrun=1;
132if ischar(Param)
133    Param=xml2struct(Param);% read Param as input file (batch case)
134    checkrun=0;
135end
136
137%% test input
138if ~isfield(Param,'ActionInput')
139    disp_uvmat('ERROR','no parameter set for PIV',checkrun)
140    return
141end
142iview_A=0;%default values
143NbField=1;
144RUNHandle=[];
145CheckInputFile=isfield(Param,'InputTable');%= 1 in test use for TestCiv (no nc file involved)
146CheckOutputFile=isfield(Param,'OutputSubDir');%= 1 in test use for TestPatch (no nc file produced)
147
148%% input files and indexing (skipped in Test mode)
149if CheckInputFile
150    hseries=findobj(allchild(0),'Tag','series');
151    RUNHandle=findobj(hseries,'Tag','RUN');%handle of RUN button in GUI series
152    WaitbarHandle=findobj(hseries,'Tag','Waitbar');%handle of waitbar in GUI series
153    MaxIndex_i=Param.IndexRange.MaxIndex_i;
154    MinIndex_i=Param.IndexRange.MinIndex_i;
155    MaxIndex_j=ones(size(MaxIndex_i));MinIndex_j=ones(size(MinIndex_i));
156    if isfield(Param.IndexRange,'MaxIndex_j')&& isfield(Param.IndexRange,'MinIndex_j')
157        MaxIndex_j=Param.IndexRange.MaxIndex_j;
158        MinIndex_j=Param.IndexRange.MinIndex_j;
159    end
160    if isfield(Param,'InputTable')
161        [tild,i1_series,i2_series,j1_series,j2_series]=get_file_series(Param);
162        iview_A=0;% series index (iview) for the first image series
163        iview_B=0;% series index (iview) for the second image series (only non zero for option 'shift' comparing two image series )
164        if Param.ActionInput.CheckCiv1
165            iview_A=1;% usual PIV, the image series is on the first line of the table
166        elseif Param.ActionInput.CheckCiv2 % civ2 is performed without Civ1, a netcdf file series is needed in the first table line
167            iview_A=2;% the second line is used for the input images of Civ2
168        end
169%         if strcmp(Param.ActionInput.ListCompareMode,'shift')
170%             iview_B=iview_A+1; % the second image series is on the next line of the input table
171%         end
172        if iview_A~=0
173            RootPath_A=Param.InputTable{iview_A,1};
174            RootFile_A=Param.InputTable{iview_A,3};
175            SubDir_A=Param.InputTable{iview_A,2};
176            NomType_A=Param.InputTable{iview_A,4};
177            FileExt_A=Param.InputTable{iview_A,5};
178            if iview_B==0
179                iview_B=iview_A;% the second image series is the same as the first
180            end
181            RootPath_B=Param.InputTable{iview_B,1};
182            RootFile_B=Param.InputTable{iview_B,3};
183            SubDir_B=Param.InputTable{iview_B,2};
184            NomType_B=Param.InputTable{iview_B,4};
185            FileExt_B=Param.InputTable{iview_B,5};
186        end
187       
188        PairCiv2='';
189        switch Param.ActionInput.ListCompareMode
190            case 'PIV'
191                PairCiv1=Param.ActionInput.PairIndices.ListPairCiv1;
192                if isfield(Param.ActionInput.PairIndices,'ListPairCiv2')
193                    PairCiv2=Param.ActionInput.PairIndices.ListPairCiv2;%string which determines the civ2 pair
194                end
195                if iview_A==1% if Civ1 is performed
196                    [i1_series_Civ1,i2_series_Civ1,j1_series_Civ1,j2_series_Civ1,check_bounds,NomTypeNc]=...
197                        find_pair_indices(PairCiv1,i1_series{1},j1_series{1},MinIndex_i,MaxIndex_i,MinIndex_j,MaxIndex_j);
198                    if ~isempty(PairCiv2)
199                        [i1_series_Civ2,i2_series_Civ2,j1_series_Civ2,j2_series_Civ2,check_bounds_Civ2]=...
200                            find_pair_indices(PairCiv2,i1_series{1},j1_series{1},MinIndex_i(1),MaxIndex_i(1),MinIndex_j(1),MaxIndex_j(1));
201                        check_bounds=check_bounds | check_bounds_Civ2;
202                    end
203                else% we start from an existing Civ1 file
204                    i1_series_Civ1=i1_series{1};
205                    i2_series_Civ1=i2_series{1};
206                    j1_series_Civ1=j1_series{1};
207                    j2_series_Civ1=j2_series{1};
208                    NomTypeNc=Param.InputTable{1,4};
209                    if ~isempty(PairCiv2)
210                        [i1_series_Civ2,i2_series_Civ2,j1_series_Civ2,j2_series_Civ2,check_bounds,NomTypeNc]=...
211                            find_pair_indices(PairCiv2,i1_series{2},j1_series{2},MinIndex_i(2),MaxIndex_i(2),MinIndex_j(2),MaxIndex_j(2));
212                    end
213                end
214            case 'displacement'
215                if isfield(Param.ActionInput,'OriginIndex')
216                i1_series_Civ1=Param.ActionInput.OriginIndex*ones(size(i1_series{1}));
217                else
218                    i1_series_Civ1=ones(size(i1_series{1}));
219                end
220                i1_series_Civ2=i1_series_Civ1;
221                i2_series_Civ1=i1_series{1};
222                i2_series_Civ2=i1_series{1};
223                j1_series_Civ1=[];% no j index variation for the ref image
224                j1_series_Civ2=[];
225                if isempty(j1_series{1})
226                    j2_series_Civ1=ones(size(i1_series_Civ1));
227                else
228                    j2_series_Civ1=j1_series{1};% if j index exist 
229                end
230                j2_series_Civ2=j2_series_Civ1;
231                NomTypeNc='_1';
232            case 'PIV volume'
233                % TODO, TODO
234        end
235        %determine frame indices for input with movie or other multiframe input file
236        if isempty(j1_series_Civ1)% simple movie with index i
237            FrameIndex_A_Civ1=i1_series_Civ1;
238            FrameIndex_B_Civ1=i2_series_Civ1;
239            j1_series_Civ1=ones(size(i1_series_Civ1));
240            if strcmp(Param.ActionInput.ListCompareMode,'PIV')
241            j2_series_Civ1=ones(size(i1_series_Civ1));
242            end
243        else % movie for each burst or volume (index j)
244            FrameIndex_A_Civ1=j1_series_Civ1;
245            FrameIndex_B_Civ1=j2_series_Civ1;
246        end
247        if isempty(PairCiv2)
248            FrameIndex_A_Civ2=FrameIndex_A_Civ1;
249            FrameIndex_B_Civ2=FrameIndex_B_Civ1;
250        else
251            if isempty(j1_series_Civ2)
252                FrameIndex_A_Civ2=i1_series_Civ2;
253                FrameIndex_B_Civ2=i2_series_Civ2;
254                j1_series_Civ2=ones(size(i1_series_Civ2));
255                if strcmp(Param.ActionInput.ListCompareMode,'PIV')
256                j2_series_Civ2=ones(size(i1_series_Civ2));
257                end
258            else
259                FrameIndex_A_Civ2=j1_series_Civ2;
260                FrameIndex_B_Civ2=j2_series_Civ2;
261            end
262        end
263        if isempty(i1_series_Civ1)||(~isempty(PairCiv2) && isempty(i1_series_Civ2))
264            disp_uvmat('ERROR','no image pair for civ in the input file index range',checkrun)
265            return
266        end
267    end
268   
269    %% check the first image pair
270        if Param.ActionInput.CheckCiv1% Civ1 is performed
271            NbField=numel(i1_series_Civ1);
272        elseif Param.ActionInput.CheckCiv2 % Civ2 is performed without Civ1
273            NbField=numel(i1_series_Civ2);
274        else
275            NbField=numel(i1_series_Civ1);% no image used (only fix or patch) TO CHECK
276        end
277
278    %% Output directory
279    OutputDir='';
280    if CheckOutputFile
281        OutputDir=[Param.OutputSubDir Param.OutputDirExt];
282    end
283end
284
285%% prepare output Data
286ListGlobalAttribute={'Conventions','Program','CivStage'};
287Data.Conventions='uvmat/civdata';% states the conventions used for the description of field variables and attributes
288Data.Program='civ_series';
289Data.CivStage=0;%default
290check_civx=0;%default
291
292%% get timing from the ImaDoc file or input video
293if iview_A~=0
294    XmlFileName=find_imadoc(RootPath_A,SubDir_A,RootFile_A,FileExt_A);
295    Time=[];
296    if ~isempty(XmlFileName)
297        XmlData=imadoc2struct(XmlFileName);
298        if isfield(XmlData,'Time')
299            Time=XmlData.Time;
300        end
301        if isfield(XmlData,'Camera')
302            if isfield(XmlData.Camera,'NbSlice')&& ~isempty(XmlData.Camera.NbSlice)
303                NbSlice_calib{iview}=XmlData.Camera.NbSlice;% Nbre of slices for Zindex in phys transform
304                if ~isequal(NbSlice_calib{iview},NbSlice_calib{1})
305                    msgbox_uvmat('WARNING','inconsistent number of Z indices for the two field series');
306                end
307            end
308            if isfield(XmlData.Camera,'TimeUnit')&& ~isempty(XmlData.Camera.TimeUnit)
309                TimeUnit=XmlData.Camera.TimeUnit;
310            end
311        end
312    end
313end
314
315%%%%% MAIN LOOP %%%%%%
316maskoldname='';% initiate the mask name
317FileType_A='';
318FileType_B='';
319CheckOverwrite=1;%default
320if isfield(Param,'CheckOverwrite')
321    CheckOverwrite=Param.CheckOverwrite;
322end
323for ifield=1:NbField
324    tic
325    if ~isempty(RUNHandle)% update the waitbar in interactive mode with GUI series  (checkrun=1)
326        update_waitbar(WaitbarHandle,ifield/NbField)
327        if  checkrun && ~strcmp(get(RUNHandle,'BusyAction'),'queue')
328            disp('program stopped by user')
329            break
330        end
331    end
332    if CheckInputFile
333        OutputPath=fullfile(Param.OutputPath,num2str(Param.Experiment),num2str(Param.Device));
334        if iview_A==0 % no nc file has been entered
335            ncfile=fullfile_uvmat(OutputPath,Param.InputTable{1,2},Param.InputTable{1,3},Param.InputTable{1,5},...
336                NomTypeNc,i1_series_Civ1(ifield),i2_series_Civ1(ifield),j1_series_Civ1(ifield),j2_series_Civ1(ifield));
337        else% an existing nc file has been entered
338            if iview_A==1% if Civ1 is performed
339                Civ1Dir=OutputDir;
340            else
341                Civ1Dir=Param.InputTable{1,2};
342            end
343            if strcmp(Param.ActionInput.ListCompareMode,'PIV')
344                ncfile=fullfile_uvmat(OutputPath,Civ1Dir,RootFile_A,'.nc',NomTypeNc,i1_series_Civ1(ifield),i2_series_Civ1(ifield),...
345                    j1_series_Civ1(ifield),j2_series_Civ1(ifield));
346            else
347                ncfile=fullfile_uvmat(OutputPath,Civ1Dir,RootFile_A,'.nc',NomTypeNc,i2_series_Civ1(ifield),[],...
348                    j1_series_Civ1(ifield),j2_series_Civ1(ifield));
349            end
350        end
351        ncfile_out=ncfile;% by default
352       
353        if isfield (Param.ActionInput,'Civ2')
354            i1_civ2=i1_series_Civ2(ifield);
355            i2_civ2=i1_civ2;
356            if ~isempty(i2_series_Civ2)
357                i2_civ2=i2_series_Civ2(ifield);
358            end
359            j1_civ2=1;
360            if ~isempty(j1_series_Civ2)
361                j1_civ2=j1_series_Civ2(ifield);
362            end
363            j2_civ2=i1_civ2;
364            if ~isempty(j2_series_Civ2)
365                j2_civ2=j2_series_Civ2(ifield);
366            end
367            if strcmp(Param.ActionInput.ListCompareMode,'PIV')
368                ncfile_out=fullfile_uvmat(OutputPath,OutputDir,RootFile_A,'.nc',NomTypeNc,i1_civ2,i2_civ2,j1_civ2,j2_civ2);
369%                 ncfile_out=fullfile_uvmat(RootPath_A,OutputDir,RootFile_A,'.nc',NomTypeNc,i1_civ2,i2_civ2,j1_civ2,j2_civ2);
370            else % displacement
371                ncfile_out=fullfile_uvmat(OutputPath,OutputDir,RootFile_A,'.nc',NomTypeNc,i2_civ2,[],j2_civ2);
372            end
373        end
374        if ~CheckOverwrite && exist(ncfile_out,'file')
375            disp(['existing output file ' ncfile_out ' already exists, skip to next field'])
376            continue% skip iteration if the mode overwrite is desactivated and the result file already exists
377        end
378    end
379    ImageName_A='';ImageName_B='';%default
380    VideoObject_A=[];VideoObject_B=[];
381    %% Civ1
382    % if Civ1 computation is requested
383    if isfield (Param.ActionInput,'Civ1')
384        if CheckInputFile
385            disp('civ1 started')
386        end
387        par_civ1=Param.ActionInput.Civ1;% parameters for civ1
388        if CheckInputFile % read input images (except in mode Test where it is introduced directly in Param.ActionInput.Civ1.ImageNameA and B)
389            try
390                if strcmp(Param.ActionInput.ListCompareMode,'displacement')
391                    ImageName_A=Param.ActionInput.RefFile;
392                else
393                ImageName_A=fullfile_uvmat(RootPath_A,SubDir_A,RootFile_A,FileExt_A,NomType_A,i1_series_Civ1(ifield),[],j1_series_Civ1(ifield));
394                end
395                if strcmp(FileExt_A,'.nc')% case of input images in format netcdf
396                    FieldName_A=Param.InputFields.FieldName;
397                    [DataIn,tild,tild,errormsg]=nc2struct(ImageName_A,{FieldName_A});
398                    par_civ1.ImageA=DataIn.(FieldName_A);
399                else % usual image formats for image A
400                    if isempty(FileType_A)% open the image object if not already done in case of movie input
401                        [FileInfo_A,VideoObject_A]=get_file_info(ImageName_A);
402                        FileType_A=FileInfo_A.FileType;
403                        if isempty(Time) && ~isempty(find(strcmp(FileType_A,{'mmreader','video','cine_phantom'})))% case of video input
404                            Time=zeros(FileInfo_A.NumberOfFrames+1,2);
405                            Time(:,2)=(0:1/FileInfo_A.FrameRate:(FileInfo_A.NumberOfFrames)/FileInfo_A.FrameRate)';
406                        end
407                        if ~isempty(FileType_A) && isempty(Time)% Time = index i +0.001 index j by default
408                            MaxIndex_i=max(i2_series_Civ1);
409                            MaxIndex_j=max(j2_series_Civ1);
410                            Time=(1:MaxIndex_i)'*ones(1,MaxIndex_j);
411                            Time=Time+0.001*ones(MaxIndex_i,1)*(1:MaxIndex_j);
412                            Time=[zeros(1,MaxIndex_j);Time];% insert a first line of zeros
413                            Time=[zeros(MaxIndex_i+1,1) Time];% insert a first column of zeros
414                        end
415                    end
416                    if isempty(regexp(ImageName_A,'(^http://)|(^https://)')) && ~exist(ImageName_A,'file')
417                        disp([ImageName_A ' missing'])
418                        continue
419                    end
420                    [par_civ1.ImageA,VideoObject_A] = read_image(ImageName_A,FileType_A,VideoObject_A,FrameIndex_A_Civ1(ifield));
421                end
422                ImageName_B=fullfile_uvmat(RootPath_B,SubDir_B,RootFile_B,FileExt_B,NomType_B,i2_series_Civ1(ifield),[],j2_series_Civ1(ifield));
423                if strcmp(FileExt_B,'.nc') % case of input images in format netcdf
424                    FieldName_B=Param.InputFields.FieldName;
425                    [DataIn,tild,tild,errormsg]=nc2struct(ImageName_B,{FieldName_B});
426                    par_civ1.ImageB=DataIn.(FieldName_B);
427                else % usual image formats for image B
428                    if isempty(FileType_B)
429                        [FileInfo_B,VideoObject_B]=get_file_info(ImageName_B);
430                        FileType_B=FileInfo_B.FileType;
431                    end
432                    if isempty(regexp(ImageName_B,'(^http://)|(^https://)')) && ~exist(ImageName_B,'file')
433                        disp([ImageName_B ' missing'])
434                        continue
435                    end
436                    [par_civ1.ImageB,VideoObject_B] = read_image(ImageName_B,FileType_B,VideoObject_B,FrameIndex_B_Civ1(ifield));
437                end
438            catch ME % display errors in reading input images
439                if ~isempty(ME.message)
440                    disp_uvmat('ERROR', ['error reading input image: ' ME.message],checkrun)
441                    continue
442                end
443            end
444            par_civ1.ImageWidth=size(par_civ1.ImageA,2);
445            par_civ1.ImageHeight=size(par_civ1.ImageA,1);
446            list_param=(fieldnames(Param.ActionInput.Civ1))';
447            list_param(strcmp('TestCiv1',list_param))=[];% remove the parameter TestCiv1 from the list
448            Civ1_param=regexprep(list_param,'^.+','Civ1_$0');% insert 'Civ1_' before  each string in list_param
449            Civ1_param=[{'Civ1_ImageA','Civ1_ImageB','Civ1_Time','Civ1_Dt'} Civ1_param]; %insert the names of the two input images
450            %indicate the values of all the global attributes in the output data
451            Data.Civ1_ImageA=ImageName_A;
452            Data.Civ1_ImageB=ImageName_B;
453            i1=i1_series_Civ1(ifield);
454            i2=i1;
455            if ~isempty(i2_series_Civ1)
456                i2=i2_series_Civ1(ifield);
457            end
458            j1=1;
459            if ~isempty(j1_series_Civ1)
460                j1=j1_series_Civ1(ifield);
461            end
462            j2=j1;
463            if ~isempty(j2_series_Civ1)
464                j2=j2_series_Civ1(ifield);
465            end
466            if strcmp(Param.ActionInput.ListCompareMode,'displacement')
467                Data.Civ1_Time=Time(i2+1,j2+1);% the Time is the Time of the secodn image
468                Data.Civ1_Dt=1;% Time interval is 1, to yield displacement instead of velocity=displacement/Dt at reading
469            else
470                Data.Civ1_Time=(Time(i2+1,j2+1)+Time(i1+1,j1+1))/2;% the Time is the Time at the middle of the image pair
471                Data.Civ1_Dt=Time(i2+1,j2+1)-Time(i1+1,j1+1);
472            end
473            for ilist=1:length(list_param)
474                Data.(Civ1_param{4+ilist})=Param.ActionInput.Civ1.(list_param{ilist});
475            end
476            Data.ListGlobalAttribute=[ListGlobalAttribute Civ1_param];
477            Data.CivStage=1;
478        else
479            i1=Param.ActionInput.PairIndices.ref_i; %case of TESTmode
480        end
481        % set the list of variables
482        Data.ListVarName={'Civ1_X','Civ1_Y','Civ1_U','Civ1_V','Civ1_F','Civ1_C'};%  cell array containing the names of the fields to record
483        Data.VarDimName={'nb_vec_1','nb_vec_1','nb_vec_1','nb_vec_1','nb_vec_1','nb_vec_1'};
484        Data.VarAttribute{1}.Role='coord_x';
485        Data.VarAttribute{2}.Role='coord_y';
486        Data.VarAttribute{3}.Role='vector_x';
487        Data.VarAttribute{4}.Role='vector_y';
488        Data.VarAttribute{5}.Role='warnflag';
489        % case of mask
490        if par_civ1.CheckMask&&~isempty(par_civ1.Mask)
491            if isfield(par_civ1,'NbSlice')
492                [RootPath_mask,SubDir_mask,RootFile_mask,i1_mask,i2_mask,j1_mask,j2_mask,Ext_mask]=fileparts_uvmat(Param.ActionInput.Civ1.Mask);
493                i1_mask=mod(i1-1,par_civ1.NbSlice)+1;
494                maskname=fullfile_uvmat(RootPath_mask,SubDir_mask,RootFile_mask,Ext_mask,'_1',i1_mask);
495            else
496                maskname=Param.ActionInput.Civ1.Mask;
497            end
498            if strcmp(maskoldname,maskname)% mask exist, not already read in civ1
499                par_civ1.Mask=mask; %use mask already opened
500            else
501                if ~isempty(regexp(maskname,'(^http://)|(^https://)'))|| exist(maskname,'file')
502                    try
503                        par_civ1.Mask=imread(maskname);%update the mask, an store it for future use
504                    catch ME
505                        if ~isempty(ME.message)
506                            errormsg=['error reading input image: ' ME.message];
507                            disp_uvmat('ERROR',errormsg,checkrun)
508                            return
509                        end
510                    end
511                else
512                    par_civ1.Mask=[];
513                end
514                mask=par_civ1.Mask;
515                maskoldname=maskname;
516            end
517        end
518        if strcmp(Param.ActionInput.ListCompareMode, 'PIV volume')
519            Data.ListVarName=[Data.ListVarName 'Civ1_Z'];
520            Data.Civ1_X=[];Data.Civ1_Y=[];Data.Civ1_Z=[];
521            Data.Civ1_U=[];Data.Civ1_V=[];Data.Civ1_C=[];Data.Civ1_F=[];
522            for ivol=1:NbSlice
523                % caluclate velocity data (y and v in indices, reverse to y component)
524                [xtable, ytable, utable, vtable, ctable, F, result_conv, errormsg] = civ (par_civ1);
525                if ~isempty(errormsg)
526                    disp_uvmat('ERROR',errormsg,checkrun)
527                    return
528                end
529                Data.Civ1_X=[Data.Civ1_X reshape(xtable,[],1)];
530                Data.Civ1_Y=[Data.Civ1_Y reshape(Param.Civ1.ImageHeight-ytable+1,[],1)];
531                Data.Civ1_Z=[Data.Civ1_Z ivol*ones(numel(xtable),1)];% z=image index in image coordinates
532                Data.Civ1_U=[Data.Civ1_U reshape(utable,[],1)];
533                Data.Civ1_V=[Data.Civ1_V reshape(-vtable,[],1)];
534                Data.Civ1_C=[Data.Civ1_C reshape(ctable,[],1)];
535                Data.Civ1_F=[Data.Civ1_C reshape(F,[],1)];
536            end
537        else %usual PIV
538            % caluclate velocity data (y and v in indices, reverse to y component)
539            [xtable, ytable, utable, vtable, ctable, F, result_conv, errormsg] = civ (par_civ1);
540            if ~isempty(errormsg)
541                disp_uvmat('ERROR',errormsg,checkrun)
542                return
543            end
544            Data.Civ1_X=reshape(xtable,[],1);
545            Data.Civ1_Y=reshape(par_civ1.ImageHeight-ytable+1,[],1);
546            Data.Civ1_U=reshape(utable,[],1);
547            Data.Civ1_V=reshape(-vtable,[],1);
548            Data.Civ1_C=reshape(ctable,[],1);
549            Data.Civ1_F=reshape(F,[],1);
550        end
551    else% we use existing Civ1 data
552        if exist('ncfile','var')
553            CivFile=ncfile;
554            [Data,tild,tild,errormsg]=nc2struct(CivFile,'ListGlobalAttribute','absolut_time_T0'); %look for the constant 'absolut_time_T0' to detect old civx data format
555            if ~isempty(errormsg)
556                disp_uvmat('ERROR',errormsg,checkrun)
557                return
558            end
559            [Data,tild,tild,errormsg]=nc2struct(CivFile);%read civ1 and fix1 data in the existing netcdf file
560        elseif isfield(Param,'Civ1_X')
561            Data.ListGlobalAttribute={};
562            Data.ListVarName={};
563            Data.VarDimName={};
564            Data.Civ1_X=Param.Civ1_X;
565            Data.Civ1_Y=Param.Civ1_Y;
566            Data.Civ1_U=Param.Civ1_U;
567            Data.Civ1_V=Param.Civ1_V;
568            Data.Civ1_FF=Param.Civ1_FF;
569        end
570    end
571   
572    %% Fix1
573    if isfield (Param.ActionInput,'Fix1')
574        disp('fix1 started')
575        if ~isfield (Param.ActionInput,'Civ1')% if we use existing Civ1, remove previous data beyond Civ1
576            Fix1_attr=find(strcmp('Fix1',Data.ListGlobalAttribute));
577            Data.ListGlobalAttribute(Fix1_attr)=[];
578            for ilist=1:numel(Fix1_attr)
579                Data=rmfield(Data,Data.ListGlobalAttribute{Fix1_attr(ilist)});
580            end
581        end
582        list_param=fieldnames(Param.ActionInput.Fix1)';
583        Fix1_param=regexprep(list_param,'^.+','Fix1_$0');% insert 'Fix1_' before  each string in ListFixParam
584        %indicate the values of all the global attributes in the output data
585        for ilist=1:length(list_param)
586            Data.(Fix1_param{ilist})=Param.ActionInput.Fix1.(list_param{ilist});
587        end
588        Data.ListGlobalAttribute=[Data.ListGlobalAttribute Fix1_param];
589        Data.ListVarName=[Data.ListVarName {'Civ1_FF'}];
590        Data.VarDimName=[Data.VarDimName {'nb_vec_1'}];
591        nbvar=length(Data.ListVarName);
592        Data.VarAttribute{nbvar}.Role='errorflag';
593        Data.Civ1_FF=int8(fix(Param.ActionInput.Fix1,Data.Civ1_F,Data.Civ1_C,Data.Civ1_U,Data.Civ1_V));
594        Data.CivStage=2;
595    end
596    %% Patch1
597    if isfield (Param.ActionInput,'Patch1')
598        disp('patch1 started')
599        if check_civx
600            errormsg='Civ Matlab input needed for patch';
601            disp_uvmat('ERROR',errormsg,checkrun)
602            return
603        end
604       
605        % record the processing parameters of Patch1 as global attributes in the result nc file
606        list_param=fieldnames(Param.ActionInput.Patch1)';
607        list_param(strcmp('TestPatch1',list_param))=[];% remove 'TestPatch1' from the list of parameters
608        Patch1_param=regexprep(list_param,'^.+','Patch1_$0');% insert 'Patch1_' before  each parameter name
609        for ilist=1:length(list_param)
610            Data.(Patch1_param{ilist})=Param.ActionInput.Patch1.(list_param{ilist});
611        end
612        Data.CivStage=3;% record the new state of processing
613        Data.ListGlobalAttribute=[Data.ListGlobalAttribute Patch1_param];
614       
615        % list the variables to record
616        nbvar=length(Data.ListVarName);
617        Data.ListVarName=[Data.ListVarName {'Civ1_U_smooth','Civ1_V_smooth','Civ1_SubRange','Civ1_NbCentres','Civ1_Coord_tps','Civ1_U_tps','Civ1_V_tps'}];
618        Data.VarDimName=[Data.VarDimName {'nb_vec_1','nb_vec_1',{'nb_coord','nb_bounds','nb_subdomain_1'},'nb_subdomain_1',...
619            {'nb_tps_1','nb_coord','nb_subdomain_1'},{'nb_tps_1','nb_subdomain_1'},{'nb_tps_1','nb_subdomain_1'}}];
620        Data.VarAttribute{nbvar+1}.Role='vector_x';
621        Data.VarAttribute{nbvar+2}.Role='vector_y';
622        Data.VarAttribute{nbvar+5}.Role='coord_tps';
623        Data.VarAttribute{nbvar+6}.Role='vector_x';
624        Data.VarAttribute{nbvar+7}.Role='vector_y';
625        Data.Civ1_U_smooth=Data.Civ1_U; % zeros(size(Data.Civ1_X));
626        Data.Civ1_V_smooth=Data.Civ1_V; %zeros(size(Data.Civ1_X));
627        if isfield(Data,'Civ1_FF')
628            ind_good=find(Data.Civ1_FF==0);
629        else
630            ind_good=1:numel(Data.Civ1_X);
631        end
632        if isempty(ind_good)
633                        disp_uvmat('ERROR','all vectors of civ1 are bad, check input parameters' ,checkrun)
634                        return
635        end
636
637        % perform Patch calculation using the UVMAT fct 'filter_tps'
638        [Data.Civ1_SubRange,Data.Civ1_NbCentres,Data.Civ1_Coord_tps,Data.Civ1_U_tps,Data.Civ1_V_tps,tild,Ures, Vres,tild,FFres]=...
639            filter_tps([Data.Civ1_X(ind_good) Data.Civ1_Y(ind_good)],Data.Civ1_U(ind_good),Data.Civ1_V(ind_good),[],Data.Patch1_SubDomainSize,Data.Patch1_FieldSmooth,Data.Patch1_MaxDiff);
640        Data.Civ1_U_smooth(ind_good)=Ures;% take the interpolated (smoothed) velocity values for good vectors, keep civ1 data for the other
641        Data.Civ1_V_smooth(ind_good)=Vres;
642        Data.Civ1_FF(ind_good)=int8(FFres);
643        disp('patch1 performed')
644    end
645   
646    %% Civ2
647    if isfield (Param.ActionInput,'Civ2')
648        disp('civ2 started')
649        par_civ2=Param.ActionInput.Civ2;
650        if CheckInputFile % read input images (except in mode Test where it is introduced directly in Param.ActionInput.Civ1.ImageNameA and B)
651            par_civ2.ImageA=[];
652            par_civ2.ImageB=[];
653            if strcmp(Param.ActionInput.ListCompareMode,'displacement')
654                ImageName_A_Civ2=Param.ActionInput.RefFile;
655            else
656                ImageName_A_Civ2=fullfile_uvmat(RootPath_A,SubDir_A,RootFile_A,FileExt_A,NomType_A,i1_civ2,[],j1_civ2);
657            end
658            if strcmp(ImageName_A_Civ2,ImageName_A) && isequal(FrameIndex_A_Civ1(ifield),FrameIndex_A_Civ2(ifield))
659                par_civ2.ImageA=par_civ1.ImageA;
660            else
661                [par_civ2.ImageA,VideoObject_A] = read_image(ImageName_A_Civ2,FileType_A,VideoObject_A,FrameIndex_A_Civ2(ifield));
662            end
663            ImageName_B_Civ2=fullfile_uvmat(RootPath_B,SubDir_B,RootFile_B,FileExt_B,NomType_B,i2_civ2,[],j2_civ2);
664            if strcmp(ImageName_B_Civ2,ImageName_B) && isequal(FrameIndex_B_Civ1(ifield),FrameIndex_B_Civ2)
665                par_civ2.ImageB=par_civ1.ImageB;
666            else
667                [par_civ2.ImageB,VideoObject_B] = read_image(ImageName_B_Civ2,FileType_B,VideoObject_B,FrameIndex_B_Civ2(ifield));
668            end
669            [FileInfo_A,VideoObject_A]=get_file_info(ImageName_A_Civ2);
670            par_civ2.ImageWidth=FileInfo_A.Width;
671            par_civ2.ImageHeight=FileInfo_A.Height;
672            if isfield(par_civ2,'Grid')% grid points set as input file
673                if ischar(par_civ2.Grid)%read the grid file if the input is a file name
674                    par_civ2.Grid=dlmread(par_civ2.Grid);
675                    par_civ2.Grid(1,:)=[];%the first line must be removed (heading in the grid file)
676                end
677            else% automatic grid
678                minix=floor(par_civ2.Dx/2)-0.5;
679                maxix=minix+par_civ2.Dx*floor((par_civ2.ImageWidth-1)/par_civ2.Dx);
680                miniy=floor(par_civ2.Dy/2)-0.5;
681                maxiy=minix+par_civ2.Dy*floor((par_civ2.ImageHeight-1)/par_civ2.Dy);
682                [GridX,GridY]=meshgrid(minix:par_civ2.Dx:maxix,miniy:par_civ2.Dy:maxiy);
683                par_civ2.Grid(:,1)=reshape(GridX,[],1);
684                par_civ2.Grid(:,2)=reshape(GridY,[],1);
685            end
686        end
687       
688        % get the guess from patch1 or patch2 (case 'CheckCiv3')
689        if CheckInputFile % read input images (except in mode Test where it is introduced directly in Param.ActionInput.Civ1.ImageNameA and B)
690            if isfield (par_civ2,'CheckCiv3') && par_civ2.CheckCiv3 %get the guess from  patch2
691                SubRange= Data.Civ2_SubRange;
692                NbCentres=Data.Civ2_NbCentres;
693                Coord_tps=Data.Civ2_Coord_tps;
694                U_tps=Data.Civ2_U_tps;
695                V_tps=Data.Civ2_V_tps;
696                CivStage=Data.CivStage;%store the current CivStage
697                Civ1_Dt=Data.Civ2_Dt;
698                Data=[];%reinitialise the result structure Data
699                Data.ListGlobalAttribute={'Conventions','Program','CivStage'};
700                Data.Conventions='uvmat/civdata';% states the conventions used for the description of field variables and attributes
701                Data.Program='civ_series';
702                Data.CivStage=CivStage+1;%update the current civStage after reinitialisation of Data
703                Data.ListVarName={};
704                Data.VarDimName={};
705            else % get the guess from patch1
706                SubRange= Data.Civ1_SubRange;
707                NbCentres=Data.Civ1_NbCentres;
708                Coord_tps=Data.Civ1_Coord_tps;
709                U_tps=Data.Civ1_U_tps;
710                V_tps=Data.Civ1_V_tps;
711                Civ1_Dt=Data.Civ1_Dt;
712                Data.CivStage=4;
713            end
714        else
715            SubRange= par_civ2.Civ1_SubRange;
716            NbCentres=par_civ2.Civ1_NbCentres;
717            Coord_tps=par_civ2.Civ1_Coord_tps;
718            U_tps=par_civ2.Civ1_U_tps;
719            V_tps=par_civ2.Civ1_V_tps;
720            Civ1_Dt=par_civ2.Civ1_Dt;
721            Civ2_Dt=par_civ2.Civ1_Dt;
722            Data.ListVarName={};
723            Data.VarDimName={};
724        end
725        Shiftx=zeros(size(par_civ2.Grid,1),1);% shift expected from civ1 data
726        Shifty=zeros(size(par_civ2.Grid,1),1);
727        nbval=zeros(size(par_civ2.Grid,1),1);% nbre of interpolated values at each grid point (from the different patch subdomains)
728        if par_civ2.CheckDeformation
729            DUDX=zeros(size(par_civ2.Grid,1),1);
730            DUDY=zeros(size(par_civ2.Grid,1),1);
731            DVDX=zeros(size(par_civ2.Grid,1),1);
732            DVDY=zeros(size(par_civ2.Grid,1),1);
733        end
734        NbSubDomain=size(SubRange,3);
735        for isub=1:NbSubDomain% for each sub-domain of Patch1
736            nbvec_sub=NbCentres(isub);% nbre of Civ vectors in the subdomain
737            ind_sel=find(par_civ2.Grid(:,1)>=SubRange(1,1,isub) & par_civ2.Grid(:,1)<=SubRange(1,2,isub) &...
738                par_civ2.Grid(:,2)>=SubRange(2,1,isub) & par_civ2.Grid(:,2)<=SubRange(2,2,isub));% grid points in the subdomain
739            if ~isempty(ind_sel)
740                epoints = par_civ2.Grid(ind_sel,:);% coordinates of interpolation sites (measurement grids)
741                ctrs=Coord_tps(1:nbvec_sub,:,isub) ;%(=initial points) ctrs
742                nbval(ind_sel)=nbval(ind_sel)+1;% records the number of values for each interpolation point (in case of subdomain overlap)
743                EM = tps_eval(epoints,ctrs);% thin plate spline (tps) coefficient
744                Shiftx(ind_sel)=Shiftx(ind_sel)+EM*U_tps(1:nbvec_sub+3,isub);%velocity shift estimated by tps from civ1
745                Shifty(ind_sel)=Shifty(ind_sel)+EM*V_tps(1:nbvec_sub+3,isub);
746                if par_civ2.CheckDeformation
747                    [EMDX,EMDY] = tps_eval_dxy(epoints,ctrs);%2D matrix of distances between extrapolation points epoints and spline centres (=site points) ctrs
748                    DUDX(ind_sel)=DUDX(ind_sel)+EMDX*U_tps(1:nbvec_sub+3,isub);
749                    DUDY(ind_sel)=DUDY(ind_sel)+EMDY*U_tps(1:nbvec_sub+3,isub);
750                    DVDX(ind_sel)=DVDX(ind_sel)+EMDX*V_tps(1:nbvec_sub+3,isub);
751                    DVDY(ind_sel)=DVDY(ind_sel)+EMDY*V_tps(1:nbvec_sub+3,isub);
752                end
753            end
754        end
755        if par_civ2.CheckMask&&~isempty(par_civ2.Mask)       
756            if isfield(par_civ2,'NbSlice')
757                [RootPath_mask,SubDir_mask,RootFile_mask,i1_mask,i2_mask,j1_mask,j2_mask,Ext_mask]=fileparts_uvmat(Param.ActionInput.Civ2.Mask);
758                i1_mask=mod(i1-1,par_civ2.NbSlice)+1;
759                maskname=fullfile_uvmat(RootPath_mask,SubDir_mask,RootFile_mask,Ext_mask,'_1',i1_mask);
760            else
761                maskname=Param.ActionInput.Civ2.Mask;
762            end
763            if strcmp(maskoldname,maskname)% mask exist, not already read in civ1
764                par_civ2.Mask=mask; %use mask already opened
765            else
766                if exist(maskname,'file')
767                try
768                    par_civ2.Mask=imread(maskname);%update the mask, an store it for future use
769                catch ME
770                    if ~isempty(ME.message)
771                        errormsg=['error reading input image: ' ME.message];
772                        disp_uvmat('ERROR',errormsg,checkrun)
773                        return
774                    end
775                end
776                else
777                    par_civ2.Mask=[];
778                end
779                mask=par_civ2.Mask;
780                maskoldname=maskname;
781            end
782        end
783
784        if CheckInputFile % else Dt given by par_civ2
785            if strcmp(Param.ActionInput.ListCompareMode,'displacement')
786                Civ1_Dt=1;
787                Civ2_Dt=1;
788            else
789                Civ2_Dt=Time(i2_civ2+1,j2_civ2+1)-Time(i1_civ2+1,j1_civ2+1);
790            end
791        end
792        par_civ2.SearchBoxShift=(Civ2_Dt/Civ1_Dt)*[Shiftx(nbval>=1)./nbval(nbval>=1) Shifty(nbval>=1)./nbval(nbval>=1)];
793        % shift the grid points by half the expected shift to provide the correlation box position in image A
794        par_civ2.Grid=[par_civ2.Grid(nbval>=1,1)-par_civ2.SearchBoxShift(:,1)/2 par_civ2.Grid(nbval>=1,2)-par_civ2.SearchBoxShift(:,2)/2];
795        if par_civ2.CheckDeformation
796            par_civ2.DUDX=DUDX(nbval>=1)./nbval(nbval>=1);
797            par_civ2.DUDY=DUDY(nbval>=1)./nbval(nbval>=1);
798            par_civ2.DVDX=DVDX(nbval>=1)./nbval(nbval>=1);
799            par_civ2.DVDY=DVDY(nbval>=1)./nbval(nbval>=1);
800        end
801       
802        % calculate velocity data (y and v in image indices, reverse to y component)
803        [xtable, ytable, utable, vtable, ctable, F,result_conv,errormsg] = civ (par_civ2);
804       
805        list_param=(fieldnames(Param.ActionInput.Civ2))';
806        list_param(strcmp('TestCiv2',list_param))=[];% remove the parameter TestCiv2 from the list
807        Civ2_param=regexprep(list_param,'^.+','Civ2_$0');% insert 'Civ2_' before  each string in list_param
808        Civ2_param=[{'Civ2_ImageA','Civ2_ImageB','Civ2_Time','Civ2_Dt'} Civ2_param]; %insert the names of the two input images
809        %indicate the values of all the global attributes in the output data
810        if exist('ImageName_A','var')
811            Data.Civ2_ImageA=ImageName_A;
812            Data.Civ2_ImageB=ImageName_B;
813            if strcmp(Param.ActionInput.ListCompareMode,'displacement')
814                Data.Civ2_Time=Time(i2_civ2+1,j2_civ2+1);% the Time is the Time of the secodn image
815                Data.Civ2_Dt=1;% Time interval is 1, to yield displacement instead of velocity=displacement/Dt at reading
816            else
817                Data.Civ2_Time=(Time(i2_civ2+1,j2_civ2+1)+Time(i1_civ2+1,j1_civ2+1))/2;
818                Data.Civ2_Dt=Civ2_Dt;
819            end
820        end
821        for ilist=1:length(list_param)
822            Data.(Civ2_param{4+ilist})=Param.ActionInput.Civ2.(list_param{ilist});
823        end
824        Data.ListGlobalAttribute=[Data.ListGlobalAttribute Civ2_param];
825       
826        nbvar=numel(Data.ListVarName);
827        % define the Civ2 variable (if Civ2 data are not replaced from previous calculation)
828        if isempty(find(strcmp('Civ2_X',Data.ListVarName),1))
829            Data.ListVarName=[Data.ListVarName {'Civ2_X','Civ2_Y','Civ2_U','Civ2_V','Civ2_F','Civ2_C'}];%  cell array containing the names of the fields to record
830            Data.VarDimName=[Data.VarDimName {'nb_vec_2','nb_vec_2','nb_vec_2','nb_vec_2','nb_vec_2','nb_vec_2'}];
831            Data.VarAttribute{nbvar+1}.Role='coord_x';
832            Data.VarAttribute{nbvar+2}.Role='coord_y';
833            Data.VarAttribute{nbvar+3}.Role='vector_x';
834            Data.VarAttribute{nbvar+4}.Role='vector_y';
835            Data.VarAttribute{nbvar+5}.Role='warnflag';
836        end
837        Data.Civ2_X=reshape(xtable,[],1);
838        Data.Civ2_Y=reshape(size(par_civ2.ImageA,1)-ytable+1,[],1);
839        Data.Civ2_U=reshape(utable,[],1);
840        Data.Civ2_V=reshape(-vtable,[],1);
841        Data.Civ2_C=reshape(ctable,[],1);
842        Data.Civ2_F=reshape(F,[],1);
843        disp('civ2 performed')
844    elseif ~isfield(Data,'ListVarName') % we start there, using existing Civ2 data
845        if exist('ncfile','var')
846            CivFile=ncfile;
847            [Data,tild,tild,errormsg]=nc2struct(CivFile);%read civ1 and fix1 data in the existing netcdf file
848            if ~isempty(errormsg)
849                disp_uvmat('ERROR',errormsg,checkrun)
850                return
851            end
852        elseif isfield(Param,'Civ2_X')% use Civ2 data as input in Param (test mode)
853            Data.ListGlobalAttribute={};
854            Data.ListVarName={};
855            Data.VarDimName={};
856            Data.Civ2_X=Param.Civ2_X;
857            Data.Civ2_Y=Param.Civ2_Y;
858            Data.Civ2_U=Param.Civ2_U;
859            Data.Civ2_V=Param.Civ2_V;
860            Data.Civ2_FF=Param.Civ2_FF;
861        end
862    end
863   
864    %% Fix2
865    if isfield (Param.ActionInput,'Fix2')
866        disp('fix2 started')
867        list_param=fieldnames(Param.ActionInput.Fix2)';
868        Fix2_param=regexprep(list_param,'^.+','Fix2_$0');% insert 'Fix1_' before  each string in ListFixParam
869        %indicate the values of all the global attributes in the output data
870        for ilist=1:length(list_param)
871            Data.(Fix2_param{ilist})=Param.ActionInput.Fix2.(list_param{ilist});
872        end
873        Data.ListGlobalAttribute=[Data.ListGlobalAttribute Fix2_param];
874        %
875        %         ListFixParam=fieldnames(Param.ActionInput.Fix2);
876        %         for ilist=1:length(ListFixParam)
877        %             ParamName=ListFixParam{ilist};
878        %             ListName=['Fix2_' ParamName];
879        %             eval(['Data.ListGlobalAttribute=[Data.ListGlobalAttribute ''' ParamName '''];'])
880        %             eval(['Data.' ListName '=Param.ActionInput.Fix2.' ParamName ';'])
881        %         end
882        if check_civx
883            if ~isfield(Data,'fix2')
884                Data.ListGlobalAttribute=[Data.ListGlobalAttribute 'fix2'];
885                Data.fix2=1;
886                Data.ListVarName=[Data.ListVarName {'vec2_FixFlag'}];
887                Data.VarDimName=[Data.VarDimName {'nb_vectors2'}];
888            end
889            Data.vec_FixFlag=fix(Param.Fix2,Data.vec2_F,Data.vec2_C,Data.vec2_U,Data.vec2_V,Data.vec2_X,Data.vec2_Y);
890        else
891            Data.ListVarName=[Data.ListVarName {'Civ2_FF'}];
892            Data.VarDimName=[Data.VarDimName {'nb_vec_2'}];
893            nbvar=length(Data.ListVarName);
894            Data.VarAttribute{nbvar}.Role='errorflag';
895            Data.Civ2_FF=double(fix(Param.ActionInput.Fix2,Data.Civ2_F,Data.Civ2_C,Data.Civ2_U,Data.Civ2_V));
896            Data.CivStage=Data.CivStage+1;
897        end
898    end
899   
900    %% Patch2
901    if isfield (Param.ActionInput,'Patch2')
902        disp('patch2 started')
903        list_param=fieldnames(Param.ActionInput.Patch2)';
904        list_param(strcmp('TestPatch2',list_param))=[];% remove the parameter TestCiv1 from the list
905        Patch2_param=regexprep(list_param,'^.+','Patch2_$0');% insert 'Fix1_' before  each string in ListFixParam
906        %indicate the values of all the global attributes in the output data
907        for ilist=1:length(list_param)
908            Data.(Patch2_param{ilist})=Param.ActionInput.Patch2.(list_param{ilist});
909        end
910        Data.ListGlobalAttribute=[Data.ListGlobalAttribute Patch2_param];
911       
912        nbvar=length(Data.ListVarName);
913        Data.ListVarName=[Data.ListVarName {'Civ2_U_smooth','Civ2_V_smooth','Civ2_SubRange','Civ2_NbCentres','Civ2_Coord_tps','Civ2_U_tps','Civ2_V_tps'}];
914        Data.VarDimName=[Data.VarDimName {'nb_vec_2','nb_vec_2',{'nb_coord','nb_bounds','nb_subdomain_2'},{'nb_subdomain_2'},...
915            {'nb_tps_2','nb_coord','nb_subdomain_2'},{'nb_tps_2','nb_subdomain_2'},{'nb_tps_2','nb_subdomain_2'}}];
916       
917        Data.VarAttribute{nbvar+1}.Role='vector_x';
918        Data.VarAttribute{nbvar+2}.Role='vector_y';
919        Data.VarAttribute{nbvar+5}.Role='coord_tps';
920        Data.VarAttribute{nbvar+6}.Role='vector_x';
921        Data.VarAttribute{nbvar+7}.Role='vector_y';
922        Data.Civ2_U_smooth=Data.Civ2_U;
923        Data.Civ2_V_smooth=Data.Civ2_V;
924        if isfield(Data,'Civ2_FF')
925            ind_good=find(Data.Civ2_FF==0);
926        else
927            ind_good=1:numel(Data.Civ2_X);
928        end
929                if isempty(ind_good)
930                        disp_uvmat('ERROR','all vectors of civ2 are bad, check input parameters' ,checkrun)
931                        return
932        end
933        [Data.Civ2_SubRange,Data.Civ2_NbCentres,Data.Civ2_Coord_tps,Data.Civ2_U_tps,Data.Civ2_V_tps,tild,Ures,Vres,tild,FFres]=...
934            filter_tps([Data.Civ2_X(ind_good) Data.Civ2_Y(ind_good)],Data.Civ2_U(ind_good),Data.Civ2_V(ind_good),[],Data.Patch2_SubDomainSize,Data.Patch2_FieldSmooth,Data.Patch2_MaxDiff);
935        Data.Civ2_U_smooth(ind_good)=Ures;
936        Data.Civ2_V_smooth(ind_good)=Vres;
937        Data.Civ2_FF(ind_good)=FFres;
938        Data.CivStage=Data.CivStage+1;
939        disp('patch2 performed')
940    end
941   
942    %% write result in a netcdf file if requested
943    if CheckOutputFile
944        errormsg=struct2nc(ncfile_out,Data);
945        if isempty(errormsg)
946            disp([ncfile_out ' written'])
947            %[success,msg] = fileattrib(ncfile_out ,'+w','g');% done in struct2nc
948        else
949            disp(errormsg)
950        end
951        disp(['ellapsed time ' num2str(toc/60,2) ' minutes'])
952    end
953end
954
955
956% 'civ': function piv.m adapted from PIVlab http://pivlab.blogspot.com/
957%--------------------------------------------------------------------------
958% function [xtable ytable utable vtable typevector] = civ (image1,image2,ibx,iby step, subpixfinder, mask, roi)
959%
960% OUTPUT:
961% xtable: set of x coordinates
962% ytable: set of y coordiantes
963% utable: set of u displacements (along x)
964% vtable: set of v displacements (along y)
965% ctable: max image correlation for each vector
966% typevector: set of flags, =1 for good, =0 for NaN vectors
967%
968%INPUT:
969% par_civ: structure of input parameters, with fields:
970%  .ImageA: first image for correlation (matrix)
971%  .ImageB: second image for correlation(matrix)
972%  .CorrBoxSize: 1,2 vector giving the size of the correlation box in x and y
973%  .SearchBoxSize:  1,2 vector giving the size of the search box in x and y
974%  .SearchBoxShift: 1,2 vector or 2 column matrix (for civ2) giving the shift of the search box in x and y
975%  .CorrSmooth: =1 or 2 determines the choice of the sub-pixel determination of the correlation max
976%  .ImageWidth: nb of pixels of the image in x
977%  .Dx, Dy: mesh for the PIV calculation
978%  .Grid: grid giving the PIV calculation points (alternative to .Dx .Dy): centres of the correlation boxes in Image A
979%  .Mask: name of a mask file or mask image matrix itself
980%  .MinIma: thresholds for image luminosity
981%  .MaxIma
982%  .CheckDeformation=1 for subpixel interpolation and image deformation (linear transform)
983%  .DUDX: matrix of deformation obtained from patch at each grid point
984%  .DUDY
985%  .DVDX:
986%  .DVDY
987
988function [xtable,ytable,utable,vtable,ctable,F,result_conv,errormsg] = civ (par_civ)
989
990%% prepare measurement grid
991if isfield(par_civ,'Grid')% grid points set as input, central positions of the sub-images in image A
992    if ischar(par_civ.Grid)%read the grid file if the input is a file name (grid in x, y image coordinates)
993        par_civ.Grid=dlmread(par_civ.Grid);
994        par_civ.Grid(1,:)=[];%the first line must be removed (heading in the grid file)
995    end
996    % else par_civ.Grid is already an array, no action here
997else% automatic grid in x, y image coordinates
998    minix=floor(par_civ.Dx/2)-0.5;
999    maxix=minix+par_civ.Dx*floor((par_civ.ImageWidth-1)/par_civ.Dx);
1000    miniy=floor(par_civ.Dy/2)-0.5;% first automatic grid point at half the mesh Dy
1001    maxiy=minix+par_civ.Dy*floor((par_civ.ImageHeight-1)/par_civ.Dy);
1002    [GridX,GridY]=meshgrid(minix:par_civ.Dx:maxix,miniy:par_civ.Dy:maxiy);
1003    par_civ.Grid(:,1)=reshape(GridX,[],1);
1004    par_civ.Grid(:,2)=reshape(GridY,[],1);% increases with array index
1005end
1006nbvec=size(par_civ.Grid,1);
1007
1008%% prepare correlation and search boxes
1009ibx2=floor(par_civ.CorrBoxSize(1)/2);
1010iby2=floor(par_civ.CorrBoxSize(2)/2);
1011isx2=floor(par_civ.SearchBoxSize(1)/2);
1012isy2=floor(par_civ.SearchBoxSize(2)/2);
1013shiftx=round(par_civ.SearchBoxShift(:,1));%use the input shift estimate, rounded to the next integer value
1014shifty=-round(par_civ.SearchBoxShift(:,2));% sign minus because image j index increases when y decreases
1015if numel(shiftx)==1% case of a unique shift for the whole field( civ1)
1016    shiftx=shiftx*ones(nbvec,1);
1017    shifty=shifty*ones(nbvec,1);
1018end
1019
1020%% Array initialisation and default output  if par_civ.CorrSmooth=0 (just the grid calculated, no civ computation)
1021xtable=round(par_civ.Grid(:,1)+0.5)-0.5;
1022ytable=round(par_civ.ImageHeight-par_civ.Grid(:,2)+0.5)-0.5;% y index corresponding to the position in image coordiantes
1023utable=shiftx;%zeros(nbvec,1);
1024vtable=shifty;%zeros(nbvec,1);
1025ctable=zeros(nbvec,1);
1026F=zeros(nbvec,1);
1027result_conv=[];
1028errormsg='';
1029
1030%% prepare mask
1031if isfield(par_civ,'Mask') && ~isempty(par_civ.Mask)
1032    if strcmp(par_civ.Mask,'all')
1033        return    % get the grid only, no civ calculation
1034    elseif ischar(par_civ.Mask)
1035        par_civ.Mask=imread(par_civ.Mask);% read the mask if not allready done
1036    end
1037end
1038check_MinIma=isfield(par_civ,'MinIma');% test for image luminosity threshold
1039check_MaxIma=isfield(par_civ,'MaxIma') && ~isempty(par_civ.MaxIma);
1040
1041par_civ.ImageA=sum(double(par_civ.ImageA),3);%sum over rgb component for color images
1042par_civ.ImageB=sum(double(par_civ.ImageB),3);
1043[npy_ima npx_ima]=size(par_civ.ImageA);
1044if ~isequal(size(par_civ.ImageB),[npy_ima npx_ima])
1045    errormsg='image pair with unequal size';
1046    return
1047end
1048
1049%% Apply mask
1050% Convention for mask IDEAS TO IMPLEMENT ?
1051% mask >200 : velocity calculated
1052%  200 >=mask>150;velocity not calculated, interpolation allowed (bad spots)
1053% 150>=mask >100: velocity not calculated, nor interpolated
1054%  100>=mask> 20: velocity not calculated, impermeable (no flux through mask boundaries)
1055%  20>=mask: velocity=0
1056checkmask=0;
1057MinA=min(min(par_civ.ImageA));
1058%MinB=min(min(par_civ.ImageB));
1059%check_undefined=false(size(par_civ.ImageA));
1060if isfield(par_civ,'Mask') && ~isempty(par_civ.Mask)
1061    checkmask=1;
1062    if ~isequal(size(par_civ.Mask),[npy_ima npx_ima])
1063        errormsg='mask must be an image with the same size as the images';
1064        return
1065    end
1066    check_undefined=(par_civ.Mask<200 & par_civ.Mask>=20 );
1067    %     par_civ.ImageA(check_undefined)=0;% put image A to zero (i.e. the min image value) in the undefined  area
1068    %     par_civ.ImageB(check_undefined)=0;% put image B to zero (i.e. the min image value) in the undefined  area
1069end
1070
1071%% compute image correlations: MAINLOOP on velocity vectors
1072corrmax=0;
1073sum_square=1;% default
1074mesh=1;% default
1075CheckDeformation=isfield(par_civ,'CheckDeformation')&& par_civ.CheckDeformation==1;
1076if CheckDeformation
1077    mesh=0.25;%mesh in pixels for subpixel image interpolation (x 4 in each direction)
1078    par_civ.CorrSmooth=2;% use SUBPIX2DGAUSS (take into account more points near the max)
1079end
1080
1081if par_civ.CorrSmooth~=0 % par_civ.CorrSmooth=0 implies no civ computation (just input image and grid points given)
1082    for ivec=1:nbvec
1083        iref=round(par_civ.Grid(ivec,1)+0.5);% xindex on the image A for the middle of the correlation box
1084        jref=round(par_civ.ImageHeight-par_civ.Grid(ivec,2)+0.5);%  j index  for the middle of the correlation box in the image A
1085        F(ivec)=0;
1086        subrange1_x=iref-ibx2:iref+ibx2;% x indices defining the first subimage
1087        subrange1_y=jref-iby2:jref+iby2;% y indices defining the first subimage
1088        subrange2_x=iref+shiftx(ivec)-isx2:iref+shiftx(ivec)+isx2;%x indices defining the second subimage
1089        subrange2_y=jref+shifty(ivec)-isy2:jref+shifty(ivec)+isy2;%y indices defining the second subimage
1090        image1_crop=MinA*ones(numel(subrange1_y),numel(subrange1_x));% default value=min of image A
1091        image2_crop=MinA*ones(numel(subrange2_y),numel(subrange2_x));% default value=min of image A
1092        check1_x=subrange1_x>=1 & subrange1_x<=par_civ.ImageWidth;% check which points in the subimage 1 are contained in the initial image 1
1093        check1_y=subrange1_y>=1 & subrange1_y<=par_civ.ImageHeight;
1094        check2_x=subrange2_x>=1 & subrange2_x<=par_civ.ImageWidth;% check which points in the subimage 2 are contained in the initial image 2
1095        check2_y=subrange2_y>=1 & subrange2_y<=par_civ.ImageHeight;
1096        image1_crop(check1_y,check1_x)=par_civ.ImageA(subrange1_y(check1_y),subrange1_x(check1_x));%extract a subimage (correlation box) from image A
1097        image2_crop(check2_y,check2_x)=par_civ.ImageB(subrange2_y(check2_y),subrange2_x(check2_x));%extract a larger subimage (search box) from image B
1098        if checkmask
1099            mask1_crop=ones(numel(subrange1_y),numel(subrange1_x));% default value=1 for mask
1100            mask2_crop=ones(numel(subrange2_y),numel(subrange2_x));% default value=1 for mask
1101            mask1_crop(check1_y,check1_x)=check_undefined(subrange1_y(check1_y),subrange1_x(check1_x));%extract a mask subimage (correlation box) from image A
1102            mask2_crop(check2_y,check2_x)=check_undefined(subrange2_y(check2_y),subrange2_x(check2_x));%extract a mask subimage (search box) from image B
1103            sizemask=sum(sum(mask1_crop))/(numel(subrange1_y)*numel(subrange1_x));%size of the masked part relative to the correlation sub-image
1104            if sizemask > 1/2% eliminate point if more than half of the correlation box is masked
1105                F(ivec)=3; %
1106                utable(ivec)=0;
1107                vtable(ivec)=0;
1108            else
1109                image1_crop=image1_crop.*~mask1_crop;% put to zero the masked pixels (mask1_crop='true'=1)
1110                image2_crop=image2_crop.*~mask2_crop;
1111                image1_mean=mean(mean(image1_crop))/(1-sizemask);
1112                image2_mean=mean(mean(image2_crop))/(1-sizemask);
1113            end
1114        else
1115            image1_mean=mean(mean(image1_crop));
1116            image2_mean=mean(mean(image2_crop));
1117        end
1118        %threshold on image minimum
1119        if F(ivec)~=3
1120            if check_MinIma && (image1_mean < par_civ.MinIma || image2_mean < par_civ.MinIma)
1121                F(ivec)=3;
1122                %threshold on image maximum
1123            elseif check_MaxIma && (image1_mean > par_civ.MaxIma || image2_mean > par_civ.MaxIma)
1124                F(ivec)=3;
1125            end
1126            if F(ivec)==3
1127                utable(ivec)=0;
1128                vtable(ivec)=0;
1129            else
1130                %mask
1131                if checkmask
1132                    image1_crop=(image1_crop-image1_mean).*~mask1_crop;%substract the mean, put to zero the masked parts
1133                    image2_crop=(image2_crop-image2_mean).*~mask2_crop;
1134                else
1135                    image1_crop=(image1_crop-image1_mean);
1136                    image2_crop=(image2_crop-image2_mean);
1137                end
1138                %deformation
1139                if CheckDeformation
1140                    xi=(1:mesh:size(image1_crop,2));
1141                    yi=(1:mesh:size(image1_crop,1))';
1142                    [XI,YI]=meshgrid(xi-ceil(size(image1_crop,2)/2),yi-ceil(size(image1_crop,1)/2));
1143                    XIant=XI-par_civ.DUDX(ivec)*XI+par_civ.DUDY(ivec)*YI+ceil(size(image1_crop,2)/2);
1144                    YIant=YI+par_civ.DVDX(ivec)*XI-par_civ.DVDY(ivec)*YI+ceil(size(image1_crop,1)/2);
1145                    image1_crop=interp2(image1_crop,XIant,YIant);
1146                    image1_crop(isnan(image1_crop))=0;
1147                    xi=(1:mesh:size(image2_crop,2));
1148                    yi=(1:mesh:size(image2_crop,1))';
1149                    image2_crop=interp2(image2_crop,xi,yi,'*spline');
1150                    image2_crop(isnan(image2_crop))=0;
1151                end
1152                sum_square=sum(sum(image1_crop.*image1_crop));
1153                %reference: Oliver Pust, PIV: Direct Cross-Correlation
1154                result_conv= conv2(image2_crop,flipdim(flipdim(image1_crop,2),1),'valid');
1155                corrmax= max(max(result_conv));
1156                result_conv=(result_conv/corrmax)*255; %normalize, peak=always 255
1157                %Find the correlation max, at 255
1158                [y,x] = find(result_conv==255,1);
1159                subimage2_crop=image2_crop(y:y+2*iby2/mesh,x:x+2*ibx2/mesh);%subimage of image 2 corresponding to the optimum displacement of first image
1160                sum_square=sum_square*sum(sum(subimage2_crop.*subimage2_crop));% product of variances of image 1 and 2
1161                sum_square=sqrt(sum_square);% srt of the variance product to normalise correlation
1162                if ~isempty(y) && ~isempty(x)
1163                    try
1164                        if par_civ.CorrSmooth==1
1165                            [vector,F(ivec)] = SUBPIXGAUSS (result_conv,x,y);
1166                        elseif par_civ.CorrSmooth==2
1167                            [vector,F(ivec)] = SUBPIX2DGAUSS (result_conv,x,y);
1168                        else
1169                            [vector,F(ivec)] = quadr_fit(result_conv,x,y);
1170                        end
1171                        utable(ivec)=vector(1)*mesh+shiftx(ivec);
1172                        vtable(ivec)=vector(2)*mesh+shifty(ivec);
1173                        xtable(ivec)=iref+utable(ivec)/2-0.5;% convec flow (velocity taken at the point middle from imgae 1 and 2)
1174                        ytable(ivec)=jref+vtable(ivec)/2-0.5;% and position of pixel 1=0.5 (convention for image coordinates=0 at the edge)
1175                        iref=round(xtable(ivec)+0.5);% nearest image index for the middle of the vector
1176                        jref=round(ytable(ivec)+0.5);
1177                        % eliminate vectors located in the mask
1178                        if  checkmask && (iref<1 || jref<1 ||iref>npx_ima || jref>npy_ima ||( par_civ.Mask(jref,iref)<200 && par_civ.Mask(jref,iref)>=100))
1179                            utable(ivec)=0;
1180                            vtable(ivec)=0;
1181                            F(ivec)=3;
1182                        end
1183                        ctable(ivec)=corrmax/sum_square;% correlation value
1184                    catch ME
1185                        F(ivec)=3;
1186                        disp(ME.message)
1187                    end
1188                else
1189                    F(ivec)=3;
1190                end
1191            end
1192        end
1193    end
1194end
1195result_conv=result_conv*corrmax/(255*sum_square);% keep the last correlation matrix for output
1196
1197%------------------------------------------------------------------------
1198% --- Find the maximum of the correlation function after interpolation
1199% OUPUT:
1200% vector = optimum displacement vector with subpixel correction
1201% F =flag: =0 OK
1202%           =-2 , warning: max too close to the edge of the search box (1 pixel margin)
1203% INPUT:
1204% x,y: position of the maximum correlation at integer values
1205
1206function [vector,F] = SUBPIXGAUSS (result_conv,x,y)
1207%------------------------------------------------------------------------
1208% vector=[0 0]; %default
1209F=0;
1210[npy,npx]=size(result_conv);
1211result_conv(result_conv<1)=1; %set to 1 correlation values smaller than 1  (=0 by discretisation, to avoid divergence in the log)
1212%the following 8 lines are copyright (c) 1998, Uri Shavit, Roi Gurka, Alex Liberzon, Technion ??? Israel Institute of Technology
1213%http://urapiv.wordpress.com
1214peaky = y;
1215if y < npy && y > 1
1216    f0 = log(result_conv(y,x));
1217    f1 = log(result_conv(y-1,x));
1218    f2 = log(result_conv(y+1,x));
1219    peaky = peaky+ (f1-f2)/(2*f1-4*f0+2*f2);
1220else
1221    F=-2; % warning flag for vector truncated by the limited search box
1222end
1223peakx=x;
1224if x < npx-1 && x > 1
1225    f0 = log(result_conv(y,x));
1226    f1 = log(result_conv(y,x-1));
1227    f2 = log(result_conv(y,x+1));
1228    peakx = peakx+ (f1-f2)/(2*f1-4*f0+2*f2);
1229else
1230    F=-2; % warning flag for vector truncated by the limited search box
1231end
1232vector=[peakx-floor(npx/2)-1 peaky-floor(npy/2)-1];
1233
1234%------------------------------------------------------------------------
1235% --- Find the maximum of the correlation function after interpolation
1236function [vector,F] = SUBPIX2DGAUSS (result_conv,x,y)
1237%------------------------------------------------------------------------
1238% vector=[0 0]; %default
1239F=-2;
1240peaky=y;
1241peakx=x;
1242result_conv(result_conv<1)=1; %set to 1 correlation values smaller than 1 (to avoid divergence in the log)
1243[npy,npx]=size(result_conv);
1244if (x < npx) && (y < npy) && (x > 1) && (y > 1)
1245    F=0;
1246    for i=-1:1
1247        for j=-1:1
1248            %following 15 lines based on
1249            %H. Nobach ??? M. Honkanen (2005)
1250            %Two-dimensional Gaussian regression for sub-pixel displacement
1251            %estimation in particle image velocimetry or particle position
1252            %estimation in particle tracking velocimetry
1253            %Experiments in Fluids (2005) 38: 511???515
1254            c10(j+2,i+2)=i*log(result_conv(y+j, x+i));
1255            c01(j+2,i+2)=j*log(result_conv(y+j, x+i));
1256            c11(j+2,i+2)=i*j*log(result_conv(y+j, x+i));
1257            c20(j+2,i+2)=(3*i^2-2)*log(result_conv(y+j, x+i));
1258            c02(j+2,i+2)=(3*j^2-2)*log(result_conv(y+j, x+i));
1259        end
1260    end
1261    c10=(1/6)*sum(sum(c10));
1262    c01=(1/6)*sum(sum(c01));
1263    c11=(1/4)*sum(sum(c11));
1264    c20=(1/6)*sum(sum(c20));
1265    c02=(1/6)*sum(sum(c02));
1266    deltax=(c11*c01-2*c10*c02)/(4*c20*c02-c11^2);
1267    deltay=(c11*c10-2*c01*c20)/(4*c20*c02-c11^2);
1268    if abs(deltax)<1
1269        peakx=x+deltax;
1270    end
1271    if abs(deltay)<1
1272        peaky=y+deltay;
1273    end
1274end
1275vector=[peakx-floor(npx/2)-1 peaky-floor(npy/2)-1];
1276
1277%------------------------------------------------------------------------
1278% --- Find the maximum of the correlation function after quadratic interpolation
1279function [vector,F] = quadr_fit(result_conv,x,y)
1280[npy,npx]=size(result_conv);
1281if x<4 || y<4 || npx-x<4 ||npy-y <4
1282    F=-2;
1283    vector=[x y];
1284else
1285    F=0;
1286    x_ind=x-4:x+4;
1287    y_ind=y-4:y+4;
1288    x_vec=0.25*(x_ind-x);
1289    y_vec=0.25*(y_ind-y);
1290    [X,Y]=meshgrid(x_vec,y_vec);
1291    coord=[reshape(X,[],1) reshape(Y,[],1)];
1292    result_conv=reshape(result_conv(y_ind,x_ind),[],1);
1293   
1294   
1295    % n=numel(X);
1296    % x=[X Y];
1297    % X=X-0.5;
1298    % Y=Y+0.5;
1299    % y = (X.*X+2*Y.*Y+X.*Y+6) + 0.1*rand(n,1);
1300    p = polyfitn(coord,result_conv,2);
1301    A(1,1)=2*p.Coefficients(1);
1302    A(1,2)=p.Coefficients(2);
1303    A(2,1)=p.Coefficients(2);
1304    A(2,2)=2*p.Coefficients(4);
1305    vector=[x y]'-A\[p.Coefficients(3) p.Coefficients(5)]';
1306    vector=vector'-[floor(npx/2) floor(npy/2)]-1 ;
1307    % zg = polyvaln(p,coord);
1308    % figure
1309    % surf(x_vec,y_vec,reshape(zg,9,9))
1310    % hold on
1311    % plot3(X,Y,reshape(result_conv,9,9),'o')
1312    % hold off
1313end
1314
1315%'RUN_FIX': function for fixing velocity fields:
1316%-----------------------------------------------
1317% RUN_FIX(filename,field,flagindex,thresh_vecC,thresh_vel,iter,flag_mask,maskname,fileref,fieldref)
1318%
1319%filename: name of the netcdf file (used as input and output)
1320%field: structure specifying the names of the fields to fix (depending on civ1 or civ2)
1321%.vel_type='civ1' or 'civ2';
1322%.nb=name of the dimension common to the field to fix ('nb_vectors' for civ1);
1323%.fixflag=name of fix flag variable ('vec_FixFlag' for civ1)
1324%flagindex: flag specifying which values of vec_f are removed:
1325% if flagindex(1)=1: vec_f=-2 vectors are removed
1326% if flagindex(2)=1: vec_f=3 vectors are removed
1327% if flagindex(3)=1: vec_f=2 vectors are removed (if iter=1) or vec_f=4 vectors are removed (if iter=2)
1328%iter=1 for civ1 fields and iter=2 for civ2 fields
1329%thresh_vecC: threshold in the image correlation vec_C
1330%flag_mask: =1 mask used to remove vectors (0 else)
1331%maskname: name of the mask image file for fix
1332%thresh_vel: threshold on velocity, or on the difference with the reference file fileref if exists
1333%inf_sup=1: remove values smaller than threshold thresh_vel, =2, larger than threshold
1334%fileref: .nc file name for a reference velocity (='': refrence 0 used)
1335%fieldref: 'civ1','filter1'...feld used in fileref
1336
1337function FF=fix(Param,F,C,U,V,X,Y)
1338FF=zeros(size(F));%default
1339
1340%criterium on warn flags
1341FlagName={'CheckFmin2','CheckF2','CheckF3','CheckF4'};
1342FlagVal=[-2 2 3 4];
1343for iflag=1:numel(FlagName)
1344    if isfield(Param,FlagName{iflag}) && Param.(FlagName{iflag})
1345        FF=(FF==1| F==FlagVal(iflag));
1346    end
1347end
1348%criterium on correlation values
1349if isfield (Param,'MinCorr')
1350    FF=FF==1 | C<Param.MinCorr;
1351end
1352if (isfield(Param,'MinVel')&&~isempty(Param.MinVel))||(isfield (Param,'MaxVel')&&~isempty(Param.MaxVel))
1353    Umod= U.*U+V.*V;
1354    if isfield (Param,'MinVel')&&~isempty(Param.MinVel)
1355        FF=FF==1 | Umod<(Param.MinVel*Param.MinVel);
1356    end
1357    if isfield (Param,'MaxVel')&&~isempty(Param.MaxVel)
1358        FF=FF==1 | Umod>(Param.MaxVel*Param.MaxVel);
1359    end
1360end
1361
1362
1363%------------------------------------------------------------------------
1364% --- determine the list of index pairs of processing file
1365function [i1_series,i2_series,j1_series,j2_series,check_bounds,NomTypeNc]=...
1366    find_pair_indices(str_civ,i_series,j_series,MinIndex_i,MaxIndex_i,MinIndex_j,MaxIndex_j)
1367%------------------------------------------------------------------------
1368i1_series=i_series;% set of first image indexes
1369i2_series=i_series;
1370j1_series=j_series;%ones(size(i_series));% set of first image numbers
1371j2_series=j_series;%ones(size(i_series));
1372r=regexp(str_civ,'^\D(?<ind>[i|j])=( -| )(?<num1>\d+)\|(?<num2>\d+)','names');
1373if ~isempty(r)
1374    mode=['D' r.ind];
1375    ind1=str2num(r.num1);
1376    ind2=str2num(r.num2);
1377else
1378    mode='j1-j2';
1379    r=regexp(str_civ,'^j= (?<num1>[a-z])-(?<num2>[a-z])','names');
1380    if ~isempty(r)
1381        NomTypeNc='_1ab';
1382    else
1383        r=regexp(str_civ,'^j= (?<num1>[A-Z])-(?<num2>[A-Z])','names');
1384        if ~isempty(r)
1385            NomTypeNc='_1AB';
1386        else
1387            r=regexp(str_civ,'^j= (?<num1>\d+)-(?<num2>\d+)','names');
1388            if ~isempty(r)
1389                NomTypeNc='_1_1-2';
1390            end
1391        end
1392    end
1393    if isempty(r)
1394        display('wrong pair mode input option')
1395    else
1396        ind1=stra2num(r.num1);
1397        ind2=stra2num(r.num2);
1398    end
1399end
1400switch mode
1401    case 'Di'
1402        i1_series=i_series-ind1;% set of first image numbers
1403        i2_series=i_series+ind2;
1404        check_bounds=i1_series<MinIndex_i | i2_series>MaxIndex_i;
1405        if isempty(j_series)
1406            NomTypeNc='_1-2';
1407        else
1408            j1_series=j_series;
1409            j2_series=j_series;
1410            NomTypeNc='_1-2_1';
1411        end
1412    case 'Dj'
1413        j1_series=j_series-ind1;
1414        j2_series=j_series+ind2;
1415        check_bounds=j1_series<MinIndex_j | j2_series>MaxIndex_j;
1416        NomTypeNc='_1_1-2';
1417    otherwise %bursts
1418        i1_series=i_series(1,:);% do not sweep the j index
1419        i2_series=i_series(1,:);
1420        j1_series=ind1*ones(1,size(i_series,2));% j index is fixed by pair choice
1421        j2_series=ind2*ones(1,size(i_series,2));
1422        check_bounds=zeros(size(i1_series));% no limitations due to min-max indices
1423end
1424
1425
1426
1427
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