1 | %'civ2vel_3C': combine velocity fields from two camerasto get three velocity components
|
---|
2 | %------------------------------------------------------------------------
|
---|
3 | % function ParamOut=civ2vel_3C(Param)
|
---|
4 | %
|
---|
5 | %OUTPUT
|
---|
6 | % ParamOut: sets options in the GUI series.fig needed for the function
|
---|
7 | %
|
---|
8 | %INPUT:
|
---|
9 | % In run mode, the input parameters are given as a Matlab structure Param copied from the GUI series.
|
---|
10 | % In batch mode, Param is the name of the corresponding xml file containing the same information
|
---|
11 | % when Param.Action.RUN=0 (as activated when the current Action is selected
|
---|
12 | % in series), the function ouput paramOut set the activation of the needed GUI elements
|
---|
13 | %
|
---|
14 | % Param contains the elements:(use the menu bar command 'export/GUI config' in series to
|
---|
15 | % see the current structure Param)
|
---|
16 | % .InputTable: cell of input file names, (several lines for multiple input)
|
---|
17 | % each line decomposed as {RootPath,SubDir,Rootfile,NomType,Extension}
|
---|
18 | % .OutputSubDir: name of the subdirectory for data outputs
|
---|
19 | % .OutputDirExt: directory extension for data outputs
|
---|
20 | % .Action: .ActionName: name of the current activated function
|
---|
21 | % .ActionPath: path of the current activated function
|
---|
22 | % .ActionExt: fct extension ('.m', Matlab fct, '.sh', compiled Matlab fct
|
---|
23 | % .RUN =0 for GUI input, =1 for function activation
|
---|
24 | % .RunMode='local','background', 'cluster': type of function use
|
---|
25 | %
|
---|
26 | % .IndexRange: set the file or frame indices on which the action must be performed
|
---|
27 | % .InputFields: sub structure describing the input fields withfields
|
---|
28 | % .FieldName: name(s) of the field
|
---|
29 | % .VelType: velocity type
|
---|
30 | % .FieldName_1: name of the second field in case of two input series
|
---|
31 | % .VelType_1: velocity type of the second field in case of two input series
|
---|
32 | % .Coord_y: name of y coordinate variable
|
---|
33 | % .Coord_x: name of x coordinate variable'
|
---|
34 |
|
---|
35 | %=======================================================================
|
---|
36 | % Copyright 2008-2014, LEGI UMR 5519 / CNRS UJF G-INP, Grenoble, France
|
---|
37 | % http://www.legi.grenoble-inp.fr
|
---|
38 | % Joel.Sommeria - Joel.Sommeria (A) legi.cnrs.fr
|
---|
39 | %
|
---|
40 | % This file is part of the toolbox UVMAT.
|
---|
41 | %
|
---|
42 | % UVMAT is free software; you can redistribute it and/or modify
|
---|
43 | % it under the terms of the GNU General Public License as published
|
---|
44 | % by the Free Software Foundation; either version 2 of the license,
|
---|
45 | % or (at your option) any later version.
|
---|
46 | %
|
---|
47 | % UVMAT is distributed in the hope that it will be useful,
|
---|
48 | % but WITHOUT ANY WARRANTY; without even the implied warranty of
|
---|
49 | % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
---|
50 | % GNU General Public License (see LICENSE.txt) for more details.
|
---|
51 | %=======================================================================
|
---|
52 |
|
---|
53 | function ParamOut=civ2vel_3C(Param)
|
---|
54 |
|
---|
55 | %% set the input elements needed on the GUI series when the function is selected in the menu ActionName or InputTable refreshed
|
---|
56 | if isstruct(Param) && isequal(Param.Action.RUN,0)
|
---|
57 | ParamOut.AllowInputSort='on';% allow alphabetic sorting of the list of input file SubDir (options 'off'/'on', 'off' by default)
|
---|
58 | ParamOut.WholeIndexRange='off';% prescribes the file index ranges from min to max (options 'off'/'on', 'off' by default)
|
---|
59 | ParamOut.NbSlice='off'; %nbre of slices ('off' by default)
|
---|
60 | ParamOut.VelType='one';% menu for selecting the velocity type (options 'off'/'one'/'two', 'off' by default)
|
---|
61 | ParamOut.FieldName='off';% menu for selecting the field (s) in the input file(options 'off'/'one'/'two', 'off' by default)
|
---|
62 | ParamOut.FieldTransform = 'off';%use the phys transform function without choice
|
---|
63 | %ParamOut.TransformPath=fullfile(fileparts(which('uvmat')),'transform_field');% path to transform functions (needed for compilation only)
|
---|
64 | ParamOut.ProjObject='off';%can use projection object(option 'off'/'on',
|
---|
65 | ParamOut.Mask='off';%can use mask option (option 'off'/'on', 'off' by default)
|
---|
66 | ParamOut.OutputDirExt='.vel3C';%set the output dir extension
|
---|
67 | ParamOut.OutputFileMode='NbInput';% '=NbInput': 1 output file per input file index, '=NbInput_i': 1 file per input file index i, '=NbSlice': 1 file per slice
|
---|
68 | %check the input files
|
---|
69 | first_j=[];
|
---|
70 | if isfield(Param.IndexRange,'first_j'); first_j=Param.IndexRange.first_j; end
|
---|
71 | PairString='';
|
---|
72 | if isfield(Param.IndexRange,'PairString'); PairString=Param.IndexRange.PairString; end
|
---|
73 | [i1,i2,j1,j2] = get_file_index(Param.IndexRange.first_i,first_j,PairString);
|
---|
74 | FirstFileName=fullfile_uvmat(Param.InputTable{1,1},Param.InputTable{1,2},Param.InputTable{1,3},...
|
---|
75 | Param.InputTable{1,5},Param.InputTable{1,4},i1,i2,j1,j2);
|
---|
76 | if ~exist(FirstFileName,'file')
|
---|
77 | msgbox_uvmat('WARNING',['the first input file ' FirstFileName ' does not exist'])
|
---|
78 | elseif isequal(size(Param.InputTable,1),1) && ~isfield(Param,'ProjObject')
|
---|
79 | msgbox_uvmat('WARNING','You may need a projection object of type plane for merge_proj')
|
---|
80 | end
|
---|
81 | return
|
---|
82 | end
|
---|
83 |
|
---|
84 | %%%%%%%%%%%% STANDARD PART (DO NOT EDIT) %%%%%%%%%%%%
|
---|
85 | ParamOut=[]; %default output
|
---|
86 | %% read input parameters from an xml file if input is a file name (batch mode)
|
---|
87 | checkrun=1;
|
---|
88 | if ischar(Param)
|
---|
89 | Param=xml2struct(Param);% read Param as input file (batch case)
|
---|
90 | checkrun=0;
|
---|
91 | end
|
---|
92 | hseries=findobj(allchild(0),'Tag','series');
|
---|
93 | RUNHandle=findobj(hseries,'Tag','RUN');%handle of RUN button in GUI series
|
---|
94 | WaitbarHandle=findobj(hseries,'Tag','Waitbar');%handle of waitbar in GUI series
|
---|
95 |
|
---|
96 | %% define the directory for result file (with path=RootPath{1})
|
---|
97 | OutputDir=[Param.OutputSubDir Param.OutputDirExt];% subdirectory for output files
|
---|
98 | %
|
---|
99 | % if ~isfield(Param,'InputFields')
|
---|
100 | % Param.InputFields.FieldName='';
|
---|
101 | % end
|
---|
102 |
|
---|
103 | %% calibration data and timing: read the ImaDoc files
|
---|
104 | [XmlData,NbSlice_calib,time,errormsg]=read_multimadoc(RootPath,SubDir,RootFile,FileExt,i1_series,i2_series,j1_series,j2_series);
|
---|
105 | if size(time,1)>1
|
---|
106 | diff_time=max(max(diff(time)));
|
---|
107 | if diff_time>0
|
---|
108 | disp_uvmat('WARNING',['times of series differ by (max) ' num2str(diff_time) ': the mean time is chosen in result'],checkrun)
|
---|
109 | end
|
---|
110 | end
|
---|
111 | if ~isempty(errormsg)
|
---|
112 | disp_uvmat('WARNING',errormsg,checkrun)
|
---|
113 | end
|
---|
114 | time=mean(time,1); %averaged time taken for the merged field
|
---|
115 | if isfield(XmlData{1},'GeometryCalib')
|
---|
116 | tsaiA=XmlData{1}.GeometryCalib;
|
---|
117 | else
|
---|
118 | msgbox_uvmat('ERROR','no geometric calibration available for image A')
|
---|
119 | return
|
---|
120 | end
|
---|
121 | if isfield(XmlData{2},'GeometryCalib')
|
---|
122 | tsaiB=XmlData{2}.GeometryCalib;
|
---|
123 | else
|
---|
124 | msgbox_uvmat('ERROR','no geometric calibration available for image B')
|
---|
125 | return
|
---|
126 | end
|
---|
127 | [filecell,i1_series,i2_series,j1_series,j2_series]=get_file_series(Param);
|
---|
128 |
|
---|
129 | %% MAIN LOOP ON FIELDS
|
---|
130 | for index=1:NbField
|
---|
131 | update_waitbar(WaitbarHandle,index/NbField)
|
---|
132 | if ~isempty(RUNHandle) && ~strcmp(get(RUNHandle,'BusyAction'),'queue')
|
---|
133 | disp('program stopped by user')
|
---|
134 | return
|
---|
135 | end
|
---|
136 |
|
---|
137 | %%%%%%%%%%%%%%%% loop on views (input lines) %%%%%%%%%%%%%%%%
|
---|
138 | Data=cell(1,NbView);%initiate the set Data
|
---|
139 | timeread=zeros(1,NbView);
|
---|
140 | for iview=1:NbView
|
---|
141 | %% reading input file(s)
|
---|
142 | [Data{iview},tild,errormsg] = read_field(filecell{iview,index},FileType{iview},Param.InputFields,frame_index{iview}(index));
|
---|
143 | if ~isempty(errormsg)
|
---|
144 | disp_uvmat('ERROR',['ERROR in civ2vel_3C/read_field/' errormsg],checkrun)
|
---|
145 | return
|
---|
146 | end
|
---|
147 | % get the time defined in the current file if not already defined from the xml file
|
---|
148 | if ~isempty(time) && isfield(Data{iview},'Time')
|
---|
149 | timeread(iview)=Data{iview}.Time;
|
---|
150 | end
|
---|
151 | if ~isempty(NbSlice_calib)
|
---|
152 | Data{iview}.ZIndex=mod(i1_series{iview}(index)-1,NbSlice_calib{iview})+1;%Zindex for phys transform
|
---|
153 | end
|
---|
154 |
|
---|
155 | %% transform the input field (e.g; phys) if requested (no transform involving two input fields)
|
---|
156 | Data{iview}=phys(Data{iview},XmlData{iview});
|
---|
157 |
|
---|
158 | %% projection on object (gridded plane)
|
---|
159 | % if Param.CheckObject
|
---|
160 | [Data{iview},errormsg]=proj_field(Data{iview},Param.ProjObject);
|
---|
161 | if ~isempty(errormsg)
|
---|
162 | disp_uvmat('ERROR',['ERROR in merge_proge/proj_field: ' errormsg],checkrun)
|
---|
163 | return
|
---|
164 | end
|
---|
165 |
|
---|
166 | end
|
---|
167 | %%%%%%%%%%%%%%%% END LOOP ON VIEWS %%%%%%%%%%%%%%%%
|
---|
168 |
|
---|
169 | %% merge the NbView fields
|
---|
170 | [MergeData,errormsg]=merge_field(Data);
|
---|
171 | if ~isempty(errormsg)
|
---|
172 | disp_uvmat('ERROR',errormsg,checkrun);
|
---|
173 | return
|
---|
174 | end
|
---|
175 |
|
---|
176 | %% time of the merged field: take the average of the different views
|
---|
177 | if ~isempty(time)
|
---|
178 | timeread=time(index);
|
---|
179 | elseif ~isempty(find(timeread))% time defined from ImaDoc
|
---|
180 | timeread=mean(timeread(timeread~=0));% take average over times form the files (when defined)
|
---|
181 | else
|
---|
182 | timeread=index;% take time=file index
|
---|
183 | end
|
---|
184 |
|
---|
185 | %% generating the name of the merged field
|
---|
186 | i1=i1_series{1}(index);
|
---|
187 | if ~isempty(i2_series{end})
|
---|
188 | i2=i2_series{end}(index);
|
---|
189 | else
|
---|
190 | i2=i1;
|
---|
191 | end
|
---|
192 | j1=1;
|
---|
193 | j2=1;
|
---|
194 | if ~isempty(j1_series{1})
|
---|
195 | j1=j1_series{1}(index);
|
---|
196 | if ~isempty(j2_series{end})
|
---|
197 | j2=j2_series{end}(index);
|
---|
198 | else
|
---|
199 | j2=j1;
|
---|
200 | end
|
---|
201 | end
|
---|
202 | OutputFile=fullfile_uvmat(RootPath{1},OutputDir,RootFileOut,FileExtOut,NomType{1},i1,i2,j1,j2);
|
---|
203 |
|
---|
204 | %% recording the merged field
|
---|
205 |
|
---|
206 | MergeData.ListGlobalAttribute={'Conventions','Project','InputFile_1','InputFile_end','nb_coord','nb_dim'};
|
---|
207 | MergeData.Conventions='uvmat';
|
---|
208 | MergeData.nb_coord=2;
|
---|
209 | MergeData.nb_dim=2;
|
---|
210 | dt=[];
|
---|
211 | if isfield(Data{1},'dt')&& isnumeric(Data{1}.dt)
|
---|
212 | dt=Data{1}.dt;
|
---|
213 | end
|
---|
214 | for iview =2:numel(Data)
|
---|
215 | if ~(isfield(Data{iview},'dt')&& isequal(Data{iview}.dt,dt))
|
---|
216 | dt=[];%dt not the same for all fields
|
---|
217 | end
|
---|
218 | end
|
---|
219 | if ~isempty(timeread)
|
---|
220 | MergeData.ListGlobalAttribute=[MergeData.ListGlobalAttribute {'Time'}];
|
---|
221 | MergeData.Time=timeread;
|
---|
222 | end
|
---|
223 | if ~isempty(dt)
|
---|
224 | MergeData.ListGlobalAttribute=[MergeData.ListGlobalAttribute {'dt'}];
|
---|
225 | MergeData.dt=dt;
|
---|
226 | end
|
---|
227 | error=struct2nc(OutputFile,MergeData);%save result file
|
---|
228 | if isempty(error)
|
---|
229 | disp(['output file ' OutputFile ' written'])
|
---|
230 | else
|
---|
231 | disp(error)
|
---|
232 | end
|
---|
233 | end
|
---|
234 |
|
---|
235 | % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
---|
236 | % %read the velocity fields
|
---|
237 | % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
---|
238 | %read field A
|
---|
239 | [Field,VelTypeOut]=read_civxdata(file_A,[],vel_type);
|
---|
240 | %removes false vectors
|
---|
241 | if isfield(Field,'FF')
|
---|
242 | Field.X=Field.X(find(Field.FF==0));
|
---|
243 | Field.Y=Field.Y(find(Field.FF==0));
|
---|
244 | Field.U=Field.U(find(Field.FF==0));
|
---|
245 | Field.V=Field.V(find(Field.FF==0));
|
---|
246 | end
|
---|
247 | %interpolate on the grid common to both images in phys coordinates
|
---|
248 | dXa= griddata_uvmat(Field.X,Field.Y,Field.U,XimaA,YimaA);
|
---|
249 | dYa= griddata_uvmat(Field.X,Field.Y,Field.V,XimaA,YimaA);
|
---|
250 | dt=Field.dt;
|
---|
251 | time=Field.Time;
|
---|
252 |
|
---|
253 | %read field B
|
---|
254 | [Field,VelTypeOut]=read_civxdata(file_B,[],vel_type);
|
---|
255 | if ~isequal(Field.dt,dt)
|
---|
256 | msgbox_uvmat('ERROR','different time intervals for the two velocity fields ')
|
---|
257 | return
|
---|
258 | end
|
---|
259 | if ~isequal(Field.Time,time)
|
---|
260 | msgbox_uvmat('ERROR','different times for the two velocity fields ')
|
---|
261 | return
|
---|
262 | end
|
---|
263 | %removes false vectors
|
---|
264 | if isfield(Field,'FF')
|
---|
265 | Field.X=Field.X(find(Field.FF==0));
|
---|
266 | Field.Y=Field.Y(find(Field.FF==0));
|
---|
267 | Field.U=Field.U(find(Field.FF==0));
|
---|
268 | Field.V=Field.V(find(Field.FF==0));
|
---|
269 | end
|
---|
270 | %interpolate on XimaB
|
---|
271 | dXb=griddata_uvmat(Field.X,Field.Y,Field.U,XimaB,YimaB);
|
---|
272 | dYb=griddata_uvmat(Field.X,Field.Y,Field.V,XimaB,YimaB);
|
---|
273 | %eliminate Not-a-Number
|
---|
274 | ind_Nan=find(and(~isnan(dXa),~isnan(dXb)));
|
---|
275 | dXa=dXa(ind_Nan);
|
---|
276 | dYa=dYa(ind_Nan);
|
---|
277 | dXb=dXb(ind_Nan);
|
---|
278 | dYb=dYb(ind_Nan);
|
---|
279 | grid_phys1(:,1)=grid_real_x(ind_Nan);
|
---|
280 | grid_phys1(:,2)=grid_real_y(ind_Nan);
|
---|
281 |
|
---|
282 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
---|
283 | %compute the differential coefficients of the geometric calibration
|
---|
284 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
---|
285 | [A11,A12,A13,A21,A22,A23]=pxcm_tsai(tsaiA,grid_phys1);
|
---|
286 | [B11,B12,B13,B21,B22,B23]=pxcm_tsai(tsaiB,grid_phys1);
|
---|
287 |
|
---|
288 | C1=A11.*A22-A12.*A21;
|
---|
289 | C2=A13.*A22-A12.*A23;
|
---|
290 | C3=A13.*A21-A11.*A23;
|
---|
291 | D1=B11.*B22-B12.*B21;
|
---|
292 | D2=B13.*B22-B12.*B23;
|
---|
293 | D3=B13.*B21-B11.*B23;
|
---|
294 | A1=(A22.*D1.*(C1.*D3-C3.*D1)+A21.*D1.*(C2.*D1-C1.*D2));
|
---|
295 | A2=(A12.*D1.*(C3.*D1-C1.*D3)+A11.*D1.*(C1.*D2-C2.*D1));
|
---|
296 | B1=(B22.*C1.*(C3.*D1-C1.*D3)+B21.*C1.*(C1.*D2-C2.*D1));
|
---|
297 | B2=(B12.*C1.*(C1.*D3-C3.*D1)+B11.*C1.*(C2.*D1-C1.*D2));
|
---|
298 | Lambda=(A1.*dXa+A2.*dYa+B1.*dXb+B2.*dYb)./(A1.*A1+A2.*A2+B1.*B1+B2.*B2);
|
---|
299 |
|
---|
300 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
---|
301 | %Projection for compatible displacements
|
---|
302 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
---|
303 | Ua=dXa-Lambda.*A1;
|
---|
304 | Va=dYa-Lambda.*A2;
|
---|
305 | Ub=dXb-Lambda.*B1;
|
---|
306 | Vb=dYb-Lambda.*B2;
|
---|
307 |
|
---|
308 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
---|
309 | %Calculations of displacements and error
|
---|
310 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
---|
311 | U=(A22.*D2.*Ua-A12.*D2.*Va-B22.*C2.*Ub+B12.*C2.*Vb)./(C1.*D2-C2.*D1);
|
---|
312 | V=(A21.*D3.*Ua-A11.*D3.*Va-B21.*C3.*Ub+B11.*C3.*Vb)./(C3.*D1-C1.*D3);
|
---|
313 | W=(A22.*D1.*Ua-A12.*D1.*Va-B22.*C1.*Ub+B12.*C1.*Vb)./(C2.*D1-C1.*D2);
|
---|
314 | W1=(-A21.*D1.*Ua+A11.*D1.*Va+B21.*C1.*Ub-B11.*C1.*Vb)./(C1.*D3-C3.*D1);
|
---|
315 |
|
---|
316 | error=sqrt((A1.*dXa+A2.*dYa+B1.*dXb+B2.*dYb).*(A1.*dXa+A2.*dYa+B1.*dXb+B2.*dYb)./(A1.*A1+A2.*A2+B1.*B1+B2.*B2));
|
---|
317 |
|
---|
318 | ind_error=(find(error<thresh_patch));
|
---|
319 | U=U(ind_error);
|
---|
320 | V=V(ind_error);
|
---|
321 | W=W(ind_error);%correction for water interface
|
---|
322 | error=error(ind_error);
|
---|
323 |
|
---|
324 | %create nc grid file
|
---|
325 | Result.ListGlobalAttribute={'nb_coord','nb_dim','constant_pixcm','absolut_time_T0','hart','dt','civ'};
|
---|
326 | Result.nb_coord=3;%grid file, no velocity
|
---|
327 | Result.nb_dim=2;
|
---|
328 | Result.constant_pixcm=0;%no linear correspondance with images
|
---|
329 | Result.absolut_time_T0=time;%absolute time of the field
|
---|
330 | Result.hart=0;
|
---|
331 | Result.dt=dt;%time interval for image correlation (put by default)
|
---|
332 | % cte.title='grid';
|
---|
333 | Result.civ=0;%not a civ file (no direct correspondance with an image)
|
---|
334 | % Result.ListDimName={'nb_vectors'}
|
---|
335 | % Result.DimValue=length(U);
|
---|
336 | Result.ListVarName={'vec_X','vec_Y','vec_U','vec_V','vec_W','vec_E'};
|
---|
337 | Result.VarDimName={'nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors'}
|
---|
338 | Result.vec_X= grid_phys1(ind_error,1);
|
---|
339 | Result.vec_Y= grid_phys1(ind_error,2);
|
---|
340 | Result.vec_U=U/dt;
|
---|
341 | Result.vec_V=V/dt;
|
---|
342 | Result.vec_W=W/dt;
|
---|
343 | Result.vec_E=error;
|
---|
344 | % error=write_netcdf(file_st,cte,fieldlabels,grid_phys);
|
---|
345 | error=struct2nc(file_st,Result);
|
---|
346 | display([file_st ' written'])
|
---|
347 |
|
---|
348 |
|
---|
349 |
|
---|
350 | %'pxcm_tsai': find differentials of the Tsai calibration
|
---|
351 | function [A11,A12,A13,A21,A22,A23]=pxcm_tsai(a,var_phys)
|
---|
352 | R=(a.R)';
|
---|
353 |
|
---|
354 | x=var_phys(:,1);
|
---|
355 | y=var_phys(:,2);
|
---|
356 |
|
---|
357 | if isfield(a,'PlanePos')
|
---|
358 | prompt={'Plane 1 Index','Plane 2 Index'};
|
---|
359 | Rep=inputdlg(prompt,'Target displacement test');
|
---|
360 | Z1=str2double(Rep(1));
|
---|
361 | Z2=str2double(Rep(2));
|
---|
362 | z=(a.PlanePos(Z2,3)+a.PlanePos(Z1,3))/2
|
---|
363 | else
|
---|
364 | z=0;
|
---|
365 | end
|
---|
366 |
|
---|
367 | %transform coeff for differentiels
|
---|
368 | a.C11=R(1)*R(8)-R(2)*R(7);
|
---|
369 | a.C12=R(2)*R(7)-R(1)*R(8);
|
---|
370 | a.C21=R(4)*R(8)-R(5)*R(7);
|
---|
371 | a.C22=R(5)*R(7)-R(4)*R(8);
|
---|
372 | a.C1x=R(3)*R(7)-R(9)*R(1);
|
---|
373 | a.C1y=R(3)*R(8)-R(9)*R(2);
|
---|
374 | a.C2x=R(6)*R(7)-R(9)*R(4);
|
---|
375 | a.C2y=R(6)*R(8)-R(9)*R(5);
|
---|
376 |
|
---|
377 | % %dependence in x,y
|
---|
378 | % denom=(R(7)*x+R(8)*y+R(9)*z+a.Tz).*(R(7)*x+R(8)*y+R(9)*z+a.Tz);
|
---|
379 | % A11=(a.f*a.sx*(a.C11*y-a.C1x*z+R(1)*a.Tz-R(7)*a.Tx)./denom)/a.dpx;
|
---|
380 | % A12=(a.f*a.sx*(a.C12*x-a.C1y*z+R(2)*a.Tz-R(8)*a.Tx)./denom)/a.dpx;
|
---|
381 | % A21=(a.f*a.sx*(a.C21*y-a.C2x*z+R(4)*a.Tz-R(7)*a.Ty)./denom)/a.dpy;
|
---|
382 | % A22=(a.f*(a.C22*x-a.C2y*z+R(5)*a.Tz-R(8)*a.Ty)./denom)/a.dpy;
|
---|
383 | % A13=(a.f*(a.C1x*x+a.C1y*y+R(3)*a.Tz-R(9)*a.Tx)./denom)/a.dpx;
|
---|
384 | % A23=(a.f*(a.C2x*x+a.C2y*y+R(6)*a.Tz-R(9)*a.Ty)./denom)/a.dpy;
|
---|
385 |
|
---|
386 | %dependence in x,y
|
---|
387 | denom=(R(7)*x+R(8)*y+R(9)*z+a.Tx_Ty_Tz(3)).*(R(7)*x+R(8)*y+R(9)*z+a.Tx_Ty_Tz(3));
|
---|
388 | A11=(a.fx_fy(1)*(a.C11*y-a.C1x*z+R(1)*a.Tx_Ty_Tz(3)-R(7)*a.Tx_Ty_Tz(1))./denom);
|
---|
389 | A12=(a.fx_fy(1)*(a.C12*x-a.C1y*z+R(2)*a.Tx_Ty_Tz(3)-R(8)*a.Tx_Ty_Tz(1))./denom);
|
---|
390 | A21=(a.fx_fy(1)*(a.C21*y-a.C2x*z+R(4)*a.Tx_Ty_Tz(3)-R(7)*a.Tx_Ty_Tz(2))./denom);
|
---|
391 | A22=(a.fx_fy(2)*(a.C22*x-a.C2y*z+R(5)*a.Tx_Ty_Tz(3)-R(8)*a.Tx_Ty_Tz(2))./denom);
|
---|
392 | A13=(a.fx_fy(2)*(a.C1x*x+a.C1y*y+R(3)*a.Tx_Ty_Tz(3)-R(9)*a.Tx_Ty_Tz(1))./denom);
|
---|
393 | A23=(a.fx_fy(2)*(a.C2x*x+a.C2y*y+R(6)*a.Tx_Ty_Tz(3)-R(9)*a.Tx_Ty_Tz(2))./denom);
|
---|
394 |
|
---|
395 |
|
---|
396 |
|
---|
397 |
|
---|
398 |
|
---|
399 |
|
---|
400 |
|
---|
401 |
|
---|