source: trunk/src/tps_coeff_field.m @ 810

Last change on this file since 810 was 809, checked in by g7moreau, 10 years ago
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1%'tps_coeff_field': calculate the thin plate spline (tps) coefficients within subdomains for a field structure
2%---------------------------------------------------------------------
3% DataOut=tps_coeff_field(DataIn,checkall)
4%
5% OUTPUT:
6% DataOut: output field structure, reproducing the input field structure DataIn and adding the fields:
7%         .Coord_tps
8%         .[VarName '_tps'] for each eligible input variable VarName (scalar ofr vector components)
9% errormsg: error message, = '' by default
10%
11% INPUT:
12% DataIn: intput field structure
13% checkall:=1 if tps is needed for all fields (a projection mode interp_tps is needed), =0 otherwise
14%
15% called functions:
16% 'find_field_cells': analyse the input field structure, grouping the variables  into 'fields' with common coordinates
17% 'set_subdomains': sort a set of points defined by scattered coordinates in subdomains, as needed for tps interpolation
18% 'tps_coeff': calculate the thin plate spline (tps) coefficients for a single domain.
19
20%=======================================================================
21% Copyright 2008-2014, LEGI UMR 5519 / CNRS UJF G-INP, Grenoble, France
22%   http://www.legi.grenoble-inp.fr
23%   Joel.Sommeria - Joel.Sommeria (A) legi.cnrs.fr
24%
25%     This file is part of the toolbox UVMAT.
26%
27%     UVMAT is free software; you can redistribute it and/or modify
28%     it under the terms of the GNU General Public License as published
29%     by the Free Software Foundation; either version 2 of the license,
30%     or (at your option) any later version.
31%
32%     UVMAT is distributed in the hope that it will be useful,
33%     but WITHOUT ANY WARRANTY; without even the implied warranty of
34%     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
35%     GNU General Public License (see LICENSE.txt) for more details.
36%=======================================================================
37
38function [DataOut,errormsg]=tps_coeff_field(DataIn,checkall)     
39DataOut=DataIn;%default
40SubDomainNbPoint=1000; %default, estimated nbre of data source points in a subdomain used for tps
41if isfield(DataIn,'SubDomain')
42    SubDomainNbPoint=DataIn.SubDomain;%old convention
43end
44if isfield(DataIn,'SubDomainNbPoint')
45    SubDomainNbPoint=DataIn.SubDomainNbPoint;%
46end
47[CellInfo,NbDimArray,errormsg]=find_field_cells(DataIn);
48if ~isempty(errormsg)
49    errormsg=['tps_coeff_field/find_field_cells/' errormsg];
50    return
51end
52nbtps=0;% indicate the number of tps coordinate sets in the field structure (in general =1)
53
54for icell=1:numel(CellInfo);
55    if NbDimArray(icell)>=2 && strcmp(CellInfo{icell}.CoordType,'scattered')% %if the coordinates are scattered
56        NbCoord=NbDimArray(icell);% dimension of space
57        nbtps=nbtps+1;% indicate the number of tps coordinate sets in the field structure (in general =1)
58        X=DataIn.(DataIn.ListVarName{CellInfo{icell}.CoordIndex(end)});% value of x coordinate
59        Y=DataIn.(DataIn.ListVarName{CellInfo{icell}.CoordIndex(end-1)});% value of x coordinate
60        check_interp_tps=false(numel(DataIn.ListVarName),1);
61        %for ivar=1:numel(CellInfo{icell}.VarIndex)
62        Index_interp=[];
63        if isfield(CellInfo{icell},'VarIndex_scalar')
64            Index_interp=[Index_interp CellInfo{icell}.VarIndex_scalar];
65        end
66        if isfield(CellInfo{icell},'VarIndex_vector_x')
67            Index_interp=[Index_interp CellInfo{icell}.VarIndex_vector_x];
68        end
69        if isfield(CellInfo{icell},'VarIndex_vector_y')
70            Index_interp=[Index_interp CellInfo{icell}.VarIndex_vector_y];
71        end
72        for iselect=1:numel(Index_interp)
73            Attr=DataIn.VarAttribute{Index_interp(iselect)};
74            if ~isfield(Attr,'VarIndex_tps')&& (checkall || (isfield(Attr,'ProjModeRequest')&&strcmp(Attr.ProjModeRequest,'interp_tps')))
75                check_interp_tps(Index_interp(iselect))=1;
76            end
77        end
78       
79        %VarIndexInterp=CellInfo{icell}.VarIndex(check_interp_tps);% indices of variables to interpolate through tps
80        %         if ~isempty(VarIndexInterp)
81        ListVarInterp=DataIn.ListVarName(check_interp_tps);
82        VarIndexInterp=find(check_interp_tps);
83        if ~isempty(ListVarInterp)
84            % exclude data points marked 'false' for interpolation
85            if isfield(CellInfo{icell},'VarIndex_errorflag')
86                FF=DataIn.(DataIn.ListVarName{CellInfo{icell}.VarIndex_errorflag});% error flag
87                X=X(FF==0);
88                Y=Y(FF==0);
89                for ilist=1:numel(ListVarInterp)
90                    DataIn.(ListVarInterp{ilist})=DataIn.(ListVarInterp{ilist})(FF==0);
91                end
92            end
93            term='';
94            if nbtps>1
95                term=['_' num2str(nbtps-1)];
96            end
97            ListNewVar=cell(1,numel(ListVarInterp)+3);
98            ListNewVar(1:3)={['SubRange' term],['NbCentre' term],['Coord_tps' term]};
99            for ilist=1:numel(ListVarInterp)
100                ListNewVar{ilist+3}=[ListVarInterp{ilist} '_tps' term];
101            end
102            nbvar=numel(DataIn.ListVarName);
103            DataOut.ListVarName=[DataIn.ListVarName ListNewVar];
104            DataOut.VarDimName=[DataIn.VarDimName {{'nb_coord','nb_bounds',['nb_subdomain' term]}} {['nb_subdomain' term]} ...
105                {{['nb_tps' term],'nb_coord',['nb_subdomain' term]}}];
106            DataOut.VarAttribute{nbvar+3}.Role='coord_tps';
107            [SubRange,NbCentre,IndSelSubDomain] =set_subdomains([X Y],SubDomainNbPoint);% create subdomains for tps
108            for isub=1:size(SubRange,3)
109                ind_sel=IndSelSubDomain(1:NbCentre(isub),isub);% array indices selected for the subdomain
110                DataOut.(['Coord_tps' term])(1:NbCentre(isub),1:2,isub)=[X(ind_sel) Y(ind_sel)];
111                DataOut.(['Coord_tps' term])(NbCentre(isub)+1:NbCentre(isub)+3,1:2,isub)=0;%matrix of zeros to complement the matrix Coord_tps (conveninent for file storage)
112                %fill=zeros(NbCoord+1,NbCoord,size(SubRange,3)); %matrix of zeros to complement the matrix Data.Civ1_Coord_tps (conveninent for file storage)
113                %                 fill=zeros(NbCoord+1,NbCoord+1,NbCoord); %matrix of zeros to complement the matrix Data.Civ1_Coord_tps (conveninent for file storage)
114                %                 Coord_tps=cat(1,Coord_tps,fill);
115            end
116            for ivar=1:numel(ListVarInterp)
117                DataOut.VarDimName{nbvar+3+ivar}={['nb_tps' term],['nb_subdomain' term]};
118                DataOut.VarAttribute{nbvar+3+ivar}=DataIn.VarAttribute{CellInfo{icell}.VarIndex_vector_x};%reproduce attributes of velocity
119                if ~isfield(DataIn.VarAttribute{VarIndexInterp(ivar)},'Role')
120                    DataOut.VarAttribute{nbvar+3+ivar}.Role='scalar_tps';
121                else
122                    DataOut.VarAttribute{nbvar+3+ivar}.Role=[DataIn.VarAttribute{VarIndexInterp(ivar)}.Role '_tps'];
123                end
124                DataOut.VarAttribute{VarIndexInterp(ivar)}.VarIndex_tps=nbvar+3+ivar;% indicate the tps correspondance in the source data
125            end
126            if isfield(DataOut,'ListDimName')%cleaning'
127                DataOut=rmfield(DataOut,'ListDimName');
128            end
129            if isfield(DataOut,'DimValue')%cleaning
130                DataOut=rmfield(DataOut,'DimValue');
131            end
132            DataOut.(['SubRange' term])=SubRange;
133            DataOut.(['NbCentre' term])=NbCentre;
134            %             DataOut.(['Coord_tps' term])=Coord_tps;
135            for ilist=1:numel(VarIndexInterp)
136                %                 Var_tps=zeros(size(IndSelSubDomain)+[NbCoord+1 0]);%default spline
137                for isub=1:size(SubRange,3)
138                    ind_sel=IndSelSubDomain(1:NbCentre(isub),isub);% array indices selected for the subdomain
139                    [tild,Var_tps(1:NbCentre(isub)+NbCoord+1,isub)]=tps_coeff([X(ind_sel) Y(ind_sel)],DataIn.(ListVarInterp{ilist})(ind_sel),0);%calculate the tps coeff in the subdomain
140                end
141                DataOut.(ListNewVar{ilist+3})=Var_tps;
142            end
143        end
144    end
145end
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