%'calc_tps': calculate the thin plate spline (tps) coefficients for interpolation %--------------------------------------------------------------------- % DataOut=calc_tps(DataIn,checkall) % % OUTPUT: % DataOut: output field structure % % INPUT: % DataIn: intput field structure % checkall:=1 if tps is needed for all fields (a filter projection is needed), =0 otherwise function DataOut=calc_tps(DataIn,checkall) DataOut=DataIn;%default SubDomain=1000; %default, estimated nbre of vectors in a subdomain used for tps if isfield(DataIn,'SubDomain') SubDomain=DataIn.SubDomain;% end [CellInfo,NbDimArray,errormsg]=find_field_cells(DataIn); nbtps=0; for icell=1:numel(CellInfo); if NbDimArray(icell)>=2 && strcmp(CellInfo{icell}.CoordType,'scattered')%'&& ~isempty(VarType.coord_x) nbtps=nbtps+1; X=DataIn.(DataIn.ListVarName{CellInfo{icell}.CoordIndex(end)}); Y=DataIn.(DataIn.ListVarName{CellInfo{icell}.CoordIndex(end-1)}); if isfield(CellInfo{icell},'VarIndex_vector_x')&&isfield(CellInfo{icell},'VarIndex_vector_y') Attr=DataIn.VarAttribute{CellInfo{icell}.VarIndex_vector_x}; if ~isfield(Attr,'VarIndex_tps')&& (checkall || (isfield(Attr,'FieldRequest')&&strcmp(Attr.FieldRequest,'interp_tps'))) U=DataIn.(DataIn.ListVarName{CellInfo{icell}.VarIndex_vector_x}); V=DataIn.(DataIn.ListVarName{CellInfo{icell}.VarIndex_vector_y}); else continue end end if isfield(CellInfo{icell},'VarIndex_errorflag') FF=DataIn.(DataIn.ListVarName{CellInfo{icell}.VarIndex_errorflag}); X=X(FF==0); Y=Y(FF==0); U=U(FF==0); V=V(FF==0); end if nbtps==1 ListNewVar={'SubRange','NbSites','Coord_tps','U_tps','V_tps'}; ListNewDim={'nb_tps','nb_subdomain'}; DataOut.VarDimName=[DataIn.VarDimName {{'nb_coord','nb_bounds','nb_subdomain'},{'nb_subdomain'},... {'nb_tps','nb_coord','nb_subdomain'},{'nb_tps','nb_subdomain'},{'nb_tps','nb_subdomain'}}]; else ListNewVar={['SubRange_' num2str(nbtps-1)],['NbSites_' num2str(nbtps-1)],['Coord_tps_' num2str(nbtps-1)],['U_tps_' num2str(nbtps-1)] ,['V_tps_' num2str(nbtps-1)]}; ListNewDim={['nb_tps_' num2str(nbtps-1)],['nb_subdomain_' num2str(nbtps-1)]}; DataOut.VarDimName=[DataIn.VarDimName {{'nb_coord','nb_bounds',ListNewDim{2}},ListNewDim(2),... {ListNewDim{1},'nb_coord',ListNewDim{2}},ListNewDim,ListNewDim}]; end DataOut.ListVarName=[DataIn.ListVarName ListNewVar]; [DataOut.(ListNewVar{1}),DataOut.(ListNewVar{2}),DataOut.(ListNewVar{3}),DataOut.(ListNewVar{4}),DataOut.(ListNewVar{5})] =... filter_tps([X Y],U,V,[],SubDomain,0); nbvar=numel(DataIn.ListVarName); DataOut.VarAttribute{nbvar+3}.Role='coord_tps'; DataOut.VarAttribute{nbvar+4}=DataIn.VarAttribute{CellInfo{icell}.VarIndex_vector_x};%reproduce attributes of velocity DataOut.VarAttribute{nbvar+4}.Role='vector_x_tps'; DataIn.VarAttribute{CellInfo{icell}.VarIndex_vector_x}.VarIndex_tps=nbvar+4;% indicte the correspondance with initial data DataOut.VarAttribute{nbvar+5}=DataIn.VarAttribute{CellInfo{icell}.VarIndex_vector_y};%reproduce attributes of velocity DataOut.VarAttribute{nbvar+5}.Role='vector_y_tps'; if isfield(DataOut,'ListDimName')%cleaning' DataOut=rmfield(DataOut,'ListDimName'); end if isfield(DataOut,'DimValue')%cleaning DataOut=rmfield(DataOut,'DimValue'); end end end