function CreateBasisFunction(iscale,nmod)
load(fullfile('TMP','params'));
onflight=0;
if isfield(param,'onflight')
onflight=param.onflight;
end
if onflight
global phiy phix Xi Yi wdetJ inde on
end
doms=0;
param0=param;
roi=param0.roi;
tic;
load(fullfile('TMP',sprintf('%d_params',nmod)),'param');
pscale=2^(iscale-1);
sbasis=param.basis;
if isfield(param0,'reference_image')
if iscell(param0.reference_image)
ncams=length(param0.reference_image);
else
ncams=1;
end
else
ncams=1;
end
for ncam=1:ncams
nmod2=nmod*10^(ncam-1);
inde=[];
switch sbasis
case 'disto'
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
[Yi,Xi]=meshgrid(1:sizeim(2),1:sizeim(1));
wdetJ=1;
siz=size(Xi);
Zi=Xi(:)-mean(Xi(:))+i*(Yi(:)-mean(Yi(:)));
ri=abs(Zi);
angl=angle(Zi);
Urbt=param.rbt;
E11=repmat(0,numel(Yi),3);
E12=repmat(0,numel(Yi),3);
E22=repmat(0,numel(Yi),3);
for in=1:3
E11(:,in)=cos(angl).*cos(angl).*(in*ri.^(in-1));
E12(:,in)=sin(angl).*cos(angl).*(in*ri.^(in-1));
E22(:,in)=sin(angl).*sin(angl).*(in*ri.^(in-1));
end
phix=[1+0*ri,0*ri,E11*Urbt(1)+E12*Urbt(2)];
phiy=[0*ri,1+0*ri,E12*Urbt(1)+E22*Urbt(2)];
case 'rbt'
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
wdetJ=1;
if iscale>1&doms
[Yi Xi]=meshgrid(1:(sizeim(2)*pscale),1:(sizeim(1)*pscale));
siz=size(Xi);
phix=zeros(prod(siz), 2);
phix(:,1)=1;
phiy=zeros(prod(siz), 2);
phiy(:,2)=1;
Xi=Xi(:);
Yi=Yi(:);
save(fullfile('TMP',sprintf('%d_phix_%d',nmod2,10*(iscale-1))),'phix','Xi','Yi','wdetJ','sizeim','-v7.3');
save(fullfile('TMP',sprintf('%d_phiy_%d',nmod2,10*(iscale-1))),'phiy','sizeim','-v7.3');
end
[Yi,Xi]=meshgrid(1:sizeim(2),1:sizeim(1));
siz=size(Xi);
phix=zeros(prod(siz), 2);
phix(:,1)=1;
phiy=zeros(prod(siz), 2);
phiy(:,2)=1;
case 'rbm'
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
wdetJ=1;
if iscale>1&doms
[Yi Xi]=meshgrid(1:(sizeim(2)*pscale),1:(sizeim(1)*pscale));
siz=size(Xi);
phix=zeros(prod(siz), 3);
phix(:,1)=1;
phix(:,3)=-Yi(:);
phiy=zeros(prod(siz), 3);
phiy(:,2)=1;
phiy(:,3)=Xi(:);
Xi=Xi(:);
Yi=Yi(:);
save(fullfile('TMP',sprintf('%d_phix_%d',nmod2,10*(iscale-1))),'phix','Xi','Yi','wdetJ','sizeim','-v7.3');
save(fullfile('TMP',sprintf('%d_phiy_%d',nmod2,10*(iscale-1))),'phiy','sizeim','-v7.3');
end
[Yi,Xi]=meshgrid(1:sizeim(2),1:sizeim(1));
siz=size(Xi);
phix=zeros(prod(siz), 3);
phix(:,1)=1;
phix(:,3)=-Yi(:);
phiy=zeros(prod(siz), 3);
phiy(:,2)=1;
phiy(:,3)=Xi(:);
case 'cordin'
load(fullfile('TMP',sprintf('sample%d',ncam-1)),'sizeim');
sizeim0=sizeim;
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
if iscale>1&doms
[Yi Xi]=meshgrid(1:(sizeim(2)*pscale),1:(sizeim(1)*pscale));
Xi=Xi(:);
Yi=Yi(:);
wdetJ=1;
X=(param0.roi(1)-1+Xi)/(sizeim0(1))-0.5;
Y=(param0.roi(3)-1+Yi)/(sizeim0(2))-0.5;
phix=zeros(prod(sizeim*pscale), 16);
phiy=zeros(prod(sizeim*pscale), 16);
phix(:,1)=1;
phix(:,3)=X(:);
phix(:,5)=Y(:);
phix(:,7)=Y(:).*X(:);
phix(:,9)=X(:).^2;
phix(:,11)=Y(:).^2;
phix(:,13)=(X(:).^2).*Y(:);
phix(:,15)=(Y(:).^2).*X(:);
phiy(:,1+1)=1;
phiy(:,3+1)=X(:);
phiy(:,5+1)=Y(:);
phiy(:,7+1)=Y(:).*X(:);
phiy(:,9+1)=X(:).^2;
phiy(:,11+1)=Y(:).^2;
phiy(:,13+1)=(X(:).^2).*Y(:);
phiy(:,15+1)=(Y(:).^2).*X(:);
save(fullfile('TMP',sprintf('%d_phix_%d',nmod2,10*(iscale-1))),'phix','Xi','Yi','wdetJ','sizeim','-v7.3');
save(fullfile('TMP',sprintf('%d_phiy_%d',nmod2,10*(iscale-1))),'phiy','sizeim','-v7.3');
end
[Yi Xi]=meshgrid(1:(sizeim(2)),1:(sizeim(1)));
Xi=Xi(:);
Yi=Yi(:);
wdetJ=1;
X=(param0.roi(1)-1+0.+(Xi-0.)*pscale)/(sizeim0(1))-0.5;
Y=(param0.roi(3)-1+0.+(Yi-0.)*pscale)/(sizeim0(2))-0.5;
[phix,phiy]=GetCordinCorrectionFied(X,Y);
case 'uni'
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,1-1)),'sizeim');
sizeim0=sizeim;
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
if iscale>1&doms
[Yi Xi]=meshgrid(1:(sizeim(2)*pscale),1:(sizeim(1)*pscale));
Xi=Xi(:);
Yi=Yi(:);
wdetJ=1;
X=Xi/mean(sizeim0)-0.5;
Y=Yi/mean(sizeim0)-0.5;
phix=zeros(prod(sizeim*pscale), 6);
phiy=zeros(prod(sizeim*pscale), 6);
phix(:,1)=1;
phiy(:,2)=1;
phix(:,3)=Y(:);
phiy(:,3)=-X(:);
phix(:,4)=X(:);
phiy(:,5)=Y(:);
phix(:,6)=0.5*Y(:);
phiy(:,6)=0.5*X(:);
save(fullfile('TMP',sprintf('%d_phix_%d',nmod2,10*(iscale-1))),'phix','Xi','Yi','wdetJ','sizeim','-v7.3');
save(fullfile('TMP',sprintf('%d_phiy_%d',nmod2,10*(iscale-1))),'phiy','sizeim','-v7.3');
end
[Yi Xi]=meshgrid(1:(sizeim(2)),1:(sizeim(1)));
Xi=Xi(:);
Yi=Yi(:);
wdetJ=1;
X=Xi*pscale/mean(sizeim0)-0.5;
Y=Yi*pscale/mean(sizeim0)-0.5;
phix=zeros(prod(sizeim), 6);
phiy=zeros(prod(sizeim), 6);
phix(:,1)=1;
phiy(:,2)=1;
phix(:,3)=Y(:);
phiy(:,3)=-X(:);
phix(:,4)=X(:);
phiy(:,5)=Y(:);
phix(:,6)=0.5*Y(:);
phiy(:,6)=0.5*X(:);
% % x=(1:sizeim(1))-0.5-0.5*(sizeim(1)+1);
% % y=(1:sizeim(2))-0.5;
% x=(1:sizeim(1))-0.5;
% y=(1:sizeim(2))-0.5;
% lx=sizeim(1);
% ly=sizeim(2);
% [Y,X]=meshgrid(y/ly-0.5,x/lx-0.5);
% phix=zeros(prod(sizim), 6);
% phiy=zeros(prod(sizim), 6);
%
% % phix(:,1)=1;
% % phiy(:,2)=1;
%
% % phix(:,3)=(Y(:)-0.5*ly);
% % phiy(:,3)=-(X(:)-0.5*lx);
% %
% % phix(:,4)=(X(:)-0.5*lx);
% % phiy(:,5)=(Y(:)-0.5*ly);
% %
% % phix(:,6)=0.5*(Y(:)-0.5*ly);
% % phiy(:,6)=0.5*(X(:)-0.5*lx);
% % Xi=X+0.5+0.5*(sizeim(1)+1);
% % Yi=Y+0.5;
%
% phix(:,3)=Y(:);
% phiy(:,3)=-X(:);
%
% phix(:,4)=X(:);
% phiy(:,5)=Y(:);
%
% phix(:,6)=0.5*Y(:);
% phiy(:,6)=0.5*X(:);
% Xi=(X+0.5)*lx;
% Yi=(Y+0.5)*ly;
% wdetJ=1;
case 'affine'
% load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
% [Yi,Xi]=meshgrid(1:sizeim(2),1:sizeim(1));
% wdetJ=1;
% siz=size(Xi);
% phix=zeros(prod(siz), 4);
% phix(:,1)=1;
% phix(:,3)=Xi(:);
% phix(:,4)=-Yi(:);
% phiy=zeros(prod(siz), 4);
% phiy(:,2)=1;
% phiy(:,3)=Yi(:);
% phiy(:,4)=Xi(:);
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,1-1)),'sizeim');
sizeim0=sizeim;
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
if iscale>1&doms
[Yi Xi]=meshgrid(1:(sizeim(2)*pscale),1:(sizeim(1)*pscale));
Xi=Xi(:);
Yi=Yi(:);
wdetJ=1;
X=Xi/mean(sizeim0)-0.;
Y=Yi/mean(sizeim0)-0.;
phix=zeros(prod(sizeim*pscale), 4);
phiy=zeros(prod(sizeim*pscale), 4);
phix(:,1)=1;
phiy(:,2)=1;
phix(:,4)=Y(:);
phiy(:,4)=-X(:);
phix(:,3)=X(:);
phiy(:,3)=Y(:);
save(fullfile('TMP',sprintf('%d_phix_%d',nmod2,10*(iscale-1))),'phix','Xi','Yi','wdetJ','sizeim','-v7.3');
save(fullfile('TMP',sprintf('%d_phiy_%d',nmod2,10*(iscale-1))),'phiy','sizeim','-v7.3');
end
[Yi Xi]=meshgrid(1:(sizeim(2)),1:(sizeim(1)));
Xi=Xi(:);
Yi=Yi(:);
wdetJ=1;
X=Xi*pscale/mean(sizeim0)-0.;
Y=Yi*pscale/mean(sizeim0)-0.;
phix=zeros(prod(sizeim), 4);
phiy=zeros(prod(sizeim), 4);
phix(:,1)=1;
phiy(:,2)=1;
phix(:,4)=Y(:);
phiy(:,4)=-X(:);
phix(:,3)=X(:);
phiy(:,3)=Y(:);
case 'beam'
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
x=(1:sizeim(1))-0.5-0.5*(sizeim(1)+1);
y=(1:sizeim(2))-0.5;
[Y,X]=meshgrid(y,x);
siz=size(Y);
l=sizeim(2);
phix=zeros(prod(siz), 6);
phiy=zeros(prod(siz), 6);
phiy(:,1)=(1-Y(:)/l);
phiy(:,2)=Y(:)/l;
tmp=(2*Y.^3-3*l*Y.^2+l^3)/l^3;
phix(:,3)=tmp(:);
tmp=(6*Y.^2-6*l*Y)/l^3;
phiy(:,3)=-X(:).*tmp(:);
tmp=(Y.^3-2*l*Y.^2+Y*l^2)/l^3;
phix(:,4)=tmp(:);
tmp=(3*Y.^2-4*l*Y+l^2)/l^3;
phiy(:,4)=-X(:).*tmp(:);
tmp=(-2*Y.^3+3*l*Y.^2)/l^3;
phix(:,5)=tmp(:);
tmp=(-6*Y.^2+6*l*Y)/l^3;
phiy(:,5)=-X(:).*tmp(:);
tmp=(Y.^3-l*Y.^2)/l^3;
phix(:,6)=tmp(:);
tmp=(3*Y.^2-2*l*Y)/l^3;
phiy(:,6)=-X(:).*tmp(:);
Xi=X+0.5+0.5*(sizeim(1)+1);
Yi=Y+0.5;
wdetJ=1;
case 'vic-beam'
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
[Yi,Xi]=meshgrid(1:sizeim(2),1:sizeim(1));
p=param.degree;
mesh_file=fullfile('TMP',sprintf('%d_mesh_%d',nmod2,iscale-1));
if isfield(param,'beam_type')
beamtype=strcmp(param.beam_type,'timoshenko');
else
beamtype=0;
end
type_nurbs=~strcmp(param.continuity,'c0');
[phix,phiy]=CreateNURBSBasis1D(mesh_file,sizeim,p,pscale,beamtype,type_nurbs);
phiy=0*phiy(:,3:size(phiy,2));
phix=phix(:,3:size(phix,2));
wdetJ=1;
case 'nurbs-beam'
warning('COMPATIBILITY WITH NEW NURBS STUFF NOT CHECKED !!!');
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
[Yi,Xi]=meshgrid(1:sizeim(2),1:sizeim(1));
p=max(param.degree);
mesh_file=fullfile('TMP',sprintf('%d_mesh_%d',nmod2,iscale-1));
if isfield(param,'beam_type')
beamtype=strcmp(param.beam_type,'timoshenko');
else
beamtype=0;
end
type_nurbs=~strcmp(param.continuity,'c0');
[phix,phiy]=CreateNURBSBasis1D(mesh_file,sizeim,p,pscale,beamtype,type_nurbs);
wdetJ=1;
case 'KM'
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
[Yi,Xi]=meshgrid(1:sizeim(2),1:sizeim(1));
wdetJ=1;
ind=param.km_indices;
if isfield(param,'crack_id')
ic=param.crack_id;
else
ic=1;
end
if isfield(param,'mask_radius')
rmin=param.mask_radius;
else
rmin=0;
end
if isfield(param,'zoi_radius')
rmax=param.zoi_radius;
else
rmax=0;
end
if isfield(param,'mask_width')
dmin=param.mask_width;
else
dmin=0;
end
kappa=param.kolosov;
modes=param.modes;
load(fullfile('TMP',sprintf('%d_mask_%d',nmod,iscale-1)),'mask');
sizemask=numel(mask);
if rmin>0
load(fullfile('TMP',sprintf('%d_levelsets',ic)),'crack','front');
load(fullfile('TMP',sprintf('%d_levelsets_cylco',ic)),'dist');
mask1=double(~((dist<rmin)|((abs(crack)<dmin)&(front<0))));
clear crack front dist
mask=mask*diag(sparse(mask1(:)));
clear mask1
save(fullfile('TMP',sprintf('%d_mask_%d',nmod,iscale-1)),'mask','-v7.3');
end
if rmax>0
load(fullfile('TMP',sprintf('%d_levelsets',ic)),'crack','front');
load(fullfile('TMP',sprintf('%d_levelsets_cylco',ic)),'dist');
mask1=double(dist<rmax);
clear crack front dist
mask=mask*diag(sparse(mask1(:)));
clear mask1
save(fullfile('TMP',sprintf('%d_mask_%d',nmod,iscale-1)),'mask','-v7.3');
end
if sizemask==1
ipix=[];
else
ipix=find(diag(mask)>0);
end
phic=CreateKMBasis(modes,ind,kappa,ipix,ic);
phix=real(phic);
phiy=imag(phic);
clear phic
case 'KM+'
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
[Yi,Xi]=meshgrid(1:sizeim(2),1:sizeim(1));
wdetJ=1;
ind=[0,2];
if isfield(param,'crack_id')
ic=param.crack_id;
else
ic=1;
end
kappa=param.kolosov;
modes=param.modes;
if isfield(param,'mask_radius')
rmin=param.mask_radius;
else
rmin=0;
end
if isfield(param,'mask_width')
dmin=param.mask_width;
else
dmin=0;
end
lmin=param.cz_length;
% dz=param.tip_step;
load(fullfile('TMP',sprintf('%d_mask_%d',nmod,iscale-1)),'mask');
if rmin>0
load(fullfile('TMP',sprintf('%d_levelsets',ic)),'crack','front');
load(fullfile('TMP',sprintf('%d_levelsets_cylco',ic)),'dist');
mask1=double(~((dist<rmin)|((abs(crack)<dmin)&(front<0))));
clear crack front dist
mask=mask*diag(sparse(mask1(:)));
clear mask1
save(fullfile('TMP',sprintf('%d_mask_%d',nmod,iscale-1)),'mask','-v7.3');
end
sizemask=numel(mask);
if sizemask==1
ipix=[];
else
ipix=find(diag(mask)>0);
end
load(fullfile('TMP',sprintf('%d_iphi_%d',nmod,iscale-1)),'iphi','ztip','dz');
phix=[];
phiy=[];
if any(modes==1)
for iz=1:length(ztip)
phic=CreateKMBasis(1,1,kappa,ipix,ic,ztip(iz));
phix=[phix,real(phic)*dz(iz)];
phiy=[phiy,imag(phic)*dz(iz)];
% figure
% imagesc(reshape(imag(phic(:,1)),sizeim))
% colorbar
end
end
if any(modes==2)
for iz=1:length(ztip)
phic=CreateKMBasis(2,1,kappa,ipix,ic,ztip(iz));
phix=[phix,real(phic)*dz(iz)];
phiy=[phiy,imag(phic)*dz(iz)];
end
end
if length(modes)==2
iphi=blkdiag(iphi,iphi);
end
phix=phix*iphi;
phiy=phiy*iphi;
% tmpx=0;
% tmpy=0;
% for iz=1:length(ztip)
% phic=CreateKMBasis(1,1,kappa,ipix,-ztip(iz));
% tmpx=tmpx+real(phic);
% tmpy=tmpy+imag(phic);
%
% end
% phix=tmpx;
% phiy=tmpy;
% tmpx=0;
% tmpy=0;
% for iz=1:length(ztip)
% phic=CreateKMBasis(2,1,kappa,ipix,-ztip(iz));
% tmpx=tmpx+real(phic);
% tmpy=tmpy+imag(phic);
%
% end
% phix=[phix,tmpx];
% phiy=[phiy,tmpy];
phic=CreateKMBasis([1,2],ind,kappa,ipix,ic);
phix=[real(phic),phix];
phiy=[imag(phic),phiy];
% if any(modes==2)
% phic=CreateKMBasis(2,1,kappa,ipix,ic);
% phix=[phix,real(phic)];
% phiy=[phiy,imag(phic)];
% end
if isfield(param,'sub_indices')
sind=param.sub_indices;
if ~isempty(sind)
phic=CreateKMBasis(modes,sind,kappa,ipix,ic,lmin);
phix=[phix,real(phic)];
phiy=[phiy,imag(phic)];
end
end
clear phic
case 'CZ'
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
[Yi,Xi]=meshgrid(1:sizeim(2),1:sizeim(1));
a=norm(sizeim);
wdetJ=1;
ind=[0,2];
if isfield(param,'crack_id')
ic=param.crack_id;
else
ic=1;
end
kappa=param.kolosov;
modes=param.modes;
if isfield(param,'mask_radius')
rmin=param.mask_radius;
else
rmin=0;
end
if isfield(param,'mask_width')
dmin=param.mask_width;
else
dmin=0;
end
load(fullfile('TMP',sprintf('%d_iphi_%d',nmod,iscale-1)),'iphi','ztip','dz','zn');
lmin=max(zn);
% dz=param.tip_step;
load(fullfile('TMP',sprintf('%d_mask_%d',nmod,iscale-1)),'mask');
if rmin>0
load(fullfile('TMP',sprintf('%d_levelsets',ic)),'crack','front');
load(fullfile('TMP',sprintf('%d_levelsets_cylco',ic)),'dist');
mask1=double(~((dist<rmin)|((abs(crack)<dmin)&(front<0))));
clear crack front dist
mask=mask*diag(sparse(mask1(:)));
clear mask1
save(fullfile('TMP',sprintf('%d_mask_%d',nmod,iscale-1)),'mask','-v7.3');
end
sizemask=numel(mask);
if sizemask==1
ipix=[];
else
ipix=find(diag(mask)>0);
end
phix=[];
phiy=[];
if any(modes==1)
phic=CreateKMBasis(1,1,kappa,ipix,ic,lmin);
for iz=1:length(ztip)
phix=[phix,real(phic)*dz(iz)/sqrt(1-(ztip(iz)+a-lmin)/a)];
phiy=[phiy,imag(phic)*dz(iz)/sqrt(1-(ztip(iz)+a-lmin)/a)];
end
end
if any(modes==2)
phic=CreateKMBasis(2,1,kappa,ipix,ic,lmin);
for iz=1:length(ztip)
phix=[phix,real(phic)*dz(iz)/sqrt(1-(ztip(iz)+a-lmin)/a)];
phiy=[phiy,imag(phic)*dz(iz)/sqrt(1-(ztip(iz)+a-lmin)/a)];
end
end
if length(modes)==2
iphi=blkdiag(iphi,iphi);
end
phix=phix*iphi;
phiy=phiy*iphi;
phic=CreateKMBasis([1,2],ind,kappa,ipix,ic);
phix=[real(phic),phix];
phiy=[imag(phic),phiy];
if isfield(param,'sub_indices')
sind=param.sub_indices;
if ~isempty(sind)
phic=CreateKMBasis(modes,sind,kappa,ipix,ic,lmin);
phix=[phix,real(phic)];
phiy=[phiy,imag(phic)];
end
end
clear phic
case {'fem','sfem'}
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
mesh_file=fullfile('TMP',sprintf('%d_mesh_%d',nmod2,iscale-1));
load(mesh_file,'xo','yo','ng')
load(fullfile('TMP',sprintf('%d_mask_%d',nmod,iscale-1)),'unmasked_nodes');
if iscale>1&doms
phi1=CreateFiniteElementBasis(mesh_file,sizeim,pscale,unmasked_nodes);
phi0=sparse(size(phi1,1),size(phi1,2));
wdetJ=GetWeigthDetJ(mesh_file,sizeim,pscale);
if ng==0
[Yi Xi]=meshgrid(1:(sizeim(2)*pscale),1:(sizeim(1)*pscale));
else
Xi=phi1*((xo-1)*pscale+1);
Yi=phi1*((yo-1)*pscale+1);
end
Xi=Xi(:);
Yi=Yi(:);
phix=[phi1,phi0];
on=sum(abs(phi1),2)>0;
save(fullfile('TMP',sprintf('%d_phix_%d',nmod2,10*(iscale-1))),'phix','Xi','Yi','wdetJ','sizeim','on','-v7.3');
phiy=[phi0,phi1];
save(fullfile('TMP',sprintf('%d_phiy_%d',nmod2,10*(iscale-1))),'phiy','sizeim','-v7.3');
end
if ~isfield(param,'gp_file')||iscale>1
[wdetJ,inde]=GetWeigthDetJ(mesh_file,sizeim);
phi1=CreateFiniteElementBasis(mesh_file,sizeim,1,unmasked_nodes);
if ng==0
[Yi Xi]=meshgrid(1:(sizeim(2)),1:(sizeim(1)));
else
Xi=phi1*xo(:);
Yi=phi1*yo(:);
end
else
toto=dlmread(param.gp_file);
Xi=toto(:,1);
Yi=toto(:,2);
figure
plot(Xi,Yi,'x')
if isfield(param,'gluing_parameters')
load(fullfile('TMP','sample0'),'im0');
figure
colormap(gray)
imagesc(im0')
hold on;
rect1=rectangle;
set(rect1,'position',[roi(1),roi(3),roi(2)-roi(1),roi(4)-roi(3)],...
'EdgeColor','yellow',...
'LineStyle','--',...
'LineWidth',2)
plot(Xi,Yi,'b+','LineWidth',0.5,'MarkerSize',10);
axis xy
axis image
[Xi,Yi]=GlueMesh(nmod,Xi,Yi);
plot(Xi,Yi,'rx','LineWidth',0.5,'MarkerSize',10);
Xi=Xi-roi(1)+1;
Yi=Yi-roi(3)+1;
end
wdetJ=diag(sparse(toto(:,4)));
toto=dlmread(param.basis_function_file);
indi=toto(:,1);
indj=toto(:,2);
val=toto(:,3);
phi1=sparse(indi,indj,val,max(indi),max(indj));
end
if ~onflight
phi=phi1;
save(fullfile('TMP',sprintf('%d_phi_%d',nmod2,(iscale-1))),'phi','-v7.3');
end
phi0=sparse(size(phi1,1),size(phi1,2));
phix=[phi1,phi0];
phiy=[phi0,phi1];
case 'nurbs'
if iscale==1
p=param.degree;
type_nurbs=param.continuity;
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
mesh_file=fullfile('TMP',sprintf('%d_mesh_%d',nmod2,iscale-1));
wdetJ=1;
[phi1,Xi,Yi]=CreateNURBSBasis(mesh_file,p,'pixels');
phi0=sparse(size(phi1,1),size(phi1,2));
phix=[phi1,phi0];
phiy=[phi0,phi1];
else
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
mesh_file=fullfile('TMP',sprintf('%d_mesh_%d',nmod2,iscale-1));
load(mesh_file,'xo','yo','ng')
load(fullfile('TMP',sprintf('%d_mask_%d',nmod,iscale-1)),'unmasked_nodes');
if doms
phi1=CreateFiniteElementBasis(mesh_file,sizeim,pscale,unmasked_nodes);
phi0=sparse(size(phi1,1),size(phi1,2));
wdetJ=GetWeigthDetJ(mesh_file,sizeim,pscale);
[Yi Xi]=meshgrid(1:(sizeim(2)*pscale),1:(sizeim(1)*pscale));
Xi=Xi(:);
Yi=Yi(:);
phix=[phi1,phi0];
on=sum(abs(phi1),2)>0;
save(fullfile('TMP',sprintf('%d_phix_%d',nmod2,10*(iscale-1))),'phix','Xi','Yi','wdetJ','sizeim','on','-v7.3');
phiy=[phi0,phi1];
save(fullfile('TMP',sprintf('%d_phiy_%d',nmod2,10*(iscale-1))),'phiy','sizeim','-v7.3');
end
[wdetJ,inde]=GetWeigthDetJ(mesh_file,sizeim);
phi1=CreateFiniteElementBasis(mesh_file,sizeim,1,unmasked_nodes);
[Yi Xi]=meshgrid(1:(sizeim(2)),1:(sizeim(1)));
Xi=Xi(:);
Yi=Yi(:);
phi0=sparse(size(phi1,1),size(phi1,2));
phix=[phi1,phi0];
phiy=[phi0,phi1];
end
case 'btri'
if iscale==1
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
mesh_file=fullfile('TMP',sprintf('%d_mesh_%d',nmod2,iscale-1));
wdetJ=1;
[phi1,Xi,Yi,wdetJ]=CreateBezierTriangleBasis(mesh_file,'pixels');
phi0=sparse(size(phi1,1),size(phi1,2));
phix=[phi1,phi0];
phiy=[phi0,phi1];
else
load(fullfile('TMP',sprintf('sample%d_%d',ncam-1,iscale-1)),'sizeim');
mesh_file=fullfile('TMP',sprintf('%d_mesh_%d',nmod2,iscale-1));
load(mesh_file,'xo','yo','ng')
load(fullfile('TMP',sprintf('%d_mask_%d',nmod,iscale-1)),'unmasked_nodes');
if doms
phi1=CreateFiniteElementBasis(mesh_file,sizeim,pscale,unmasked_nodes);
phi0=sparse(size(phi1,1),size(phi1,2));
wdetJ=GetWeigthDetJ(mesh_file,sizeim,pscale);
[Yi Xi]=meshgrid(1:(sizeim(2)*pscale),1:(sizeim(1)*pscale));
Xi=Xi(:);
Yi=Yi(:);
phix=[phi1,phi0];
on=sum(abs(phi1),2)>0;
save(fullfile('TMP',sprintf('%d_phix_%d',nmod2,10*(iscale-1))),'phix','Xi','Yi','wdetJ','sizeim','on','-v7.3');
phiy=[phi0,phi1];
save(fullfile('TMP',sprintf('%d_phiy_%d',nmod2,10*(iscale-1))),'phiy','sizeim','-v7.3');
end
[wdetJ,inde]=GetWeigthDetJ(mesh_file,sizeim);
phi1=CreateFiniteElementBasis(mesh_file,sizeim,1,unmasked_nodes);
[Yi Xi]=meshgrid(1:(sizeim(2)),1:(sizeim(1)));
Xi=Xi(:);
Yi=Yi(:);
phi0=sparse(size(phi1,1),size(phi1,2));
phix=[phi1,phi0];
phiy=[phi0,phi1];
end
otherwise
error ('INVALID FUNCTIONAL BASIS');
end
if (iscale==1)&&(isfield(param,'enrichment'))
enr=param.enrichment;
h=1;
if isfield(param,'mesh_size_ratio')
h=param.mesh_size_ratio;
end
if isfield(param,'enrichment_type')
strat=param.enrichment_type;
else
strat='node';
end
mesh_file=fullfile('TMP',sprintf('%d_meshx_%d',nmod2,iscale-1));
if ~iscell(param0.levelset_file)
nbfis=1;
else
nbfis=numel(param0.levelset_file);
end
for ic=1:nbfis
load(fullfile('TMP',sprintf('%d_enrichment_%d',nmod,ic)),'enriched_pixels','tip_nodes','face_nodes','enriched_nodes','face_elts');
% load('TMP/maskn_0','maskn');
% if numel(maskn)>1
% maskp=diag(sparse(phi1*maskn(:)));
% else
% maskp=maskn;
% end
% save('TMP/maskp_0','maskp');
do_disc_enrich=true;
if ~(strcmp(enr,'crack_disc'))
ind=param.km_indices;
kappa=param.kolosov;
modes=param.modes;
km=CreateKMBasis(modes,ind,kappa,enriched_pixels);
if isempty(face_nodes)
do_disc_enrich=false;
end
if isempty(enriched_pixels)
if strcmp(strat,'zone')
phikm=1;
elseif strcmp(strat,'node')
if h==1
phikm=phi1;
else
phikm=CreateFiniteElementBasis(mesh_file,sizeim);
end
end
else
phikm=CreateFiniteElementBasis(mesh_file,sizeim,pscale,tip_nodes);
if strcmp(strat,'zone')
phikm=sum(phikm,2);
end
% if strcmp(strat,'zone')
% load(fullfile('TMP',sprintf('%d_cutoff_%d',nmod,iscale-1)),'cutoff');
%
% phikm=cutoff;
% clear cutoff
% else
% phikm=CreateFiniteElementBasis(mesh_file,sizeim,pscale,tip_nodes);
%
% end
end
% figure
% imagesc(reshape((abs(phikm)>0)&(~(abs(km(:,1))>0)),sizeim));colorbar;
% figure
% imagesc(reshape(phikm,sizeim));colorbar;
% figure
% imagesc(reshape(real(km(:,1)),sizeim));colorbar;
% figure
% imagesc(reshape(diag(sparse(phikm))*real(km(:,1)),sizeim));colorbar;
if strcmp(strat,'zone')
phix=[phix,diag(sparse(phikm))*real(km)];
phiy=[phiy,diag(sparse(phikm))*imag(km)];
elseif strcmp(strat,'node')
for kk=1:size(km,2)
phix= [phix,diag(sparse(real(km(:,kk))))*phikm];
phiy= [phiy,diag(sparse(imag(km(:,kk))))*phikm];
end
end
clear km phikm
end
if do_disc_enrich
if strcmp(strat,'node')
phih=CreateFiniteElementBasis(mesh_file,sizeim,pscale,face_nodes);
phih0=sparse(size(phih,1),size(phih,2));
load(fullfile('TMP',sprintf('%d_levelsets',ic)),'crack');
if isfield(param,'shift_enrichment')
opti_shift=param.shift_enrichment;
else
opti_shift=0;
end
if ~opti_shift
crack=crack(enriched_pixels);
heaviside=zeros(prod(sizeim),1);
heaviside(enriched_pixels)=2*double(crack>=0)-1;
clear crack
heaviside=diag(sparse(heaviside));
phih=(heaviside*phih);
else
disp('WARNING SHIFTED ENRICHMENT !!!');
load(mesh_file,'xo','yo');
hn=interp2(crack,yo,xo,'*linear');
hn=double(hn>=0);
hn=diag(sparse(hn(face_nodes)));
crack=crack(enriched_pixels);
heaviside=zeros(prod(sizeim),1);
heaviside(enriched_pixels)=double(crack>=0);
clear crack
heaviside=diag(sparse(heaviside));
phih=(heaviside*phih-phih*hn);
end
phix= [phix,phih,phih0];
phiy= [phiy,phih0,phih];
clear phih phih0 heaviside
elseif strcmp(strat,'element')
phih=CreateFiniteElementBasis(mesh_file,sizeim,pscale,enriched_nodes);
phie=CreateElementwiseBasis(mesh_file,sizeim,pscale,face_elts);
load(fullfile('TMP',sprintf('%d_levelsets',ic)),'crack');
load(mesh_file,'xo','yo');
hn=interp2(crack,yo,xo,'*linear');
hn=double(hn>=0);
hn=hn(enriched_nodes(:));
crack=crack(enriched_pixels);
heaviside=zeros(prod(sizeim),1);
heaviside(enriched_pixels)=double(crack>=0);
clear crack
heaviside=(heaviside-phih*hn);
heaviside=diag(sparse(heaviside));
phie=heaviside*phie;
phie0=sparse(size(phie,1),size(phie,2));
phix= [phix,phie,phie0];
phiy= [phiy,phie0,phie];
clear phie phie0 heaviside
end
end
end
end
Xi=Xi(:);
Yi=Yi(:);
on=sum(abs(phix+1i*phiy),2)>0;
Nddl_tot=size(phix,2);
if ~onflight
save(fullfile('TMP',sprintf('%d_phiy_%d',nmod2,iscale-1)),'phiy','sizeim','Nddl_tot','-v7.3');
save(fullfile('TMP',sprintf('%d_phix_%d',nmod2,iscale-1)),'phix','Xi','Yi','wdetJ','inde','sizeim','Nddl_tot','on','-v7.3');
else
save(fullfile('TMP',sprintf('%d_phiy_%d',nmod2,iscale-1)),'sizeim','Nddl_tot','-v7.3');
save(fullfile('TMP',sprintf('%d_phix_%d',nmod2,iscale-1)),'sizeim','Nddl_tot','-v7.3');
end
% if( (iscale==1) && (strcmp(sbasis,'nurbs')) && ~strcmp(type_nurbs,'c0'))
% save(fullfile('TMP',sprintf('%d_dphiy_%d',nmod2,iscale-1)),'dphiy');
% save(fullfile('TMP',sprintf('%d_dphix_%d',nmod2,iscale-1)),'dphix');
% end
end
disp(sprintf('Creating basis function for model %d...%6.2f s',nmod,toc));
end
