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%inputs : image, number of layers, distance defining the subgrid, the edge filter scales for each layer, radius for each layer,
%edge variance for filter, shape of the neighbourhood layout ('square', 'star', 'cross'), sigma for intensity affinity,
% sigma for distance influence in affinity, weight coefficients for Wpps in the multiscale matrix.
%output : multiscale affinity matrix , extern constraint matrix, affinity matrices of each layer seperatly.
function [multiWpp,constraintMat, Wind,data,emag,ephase]= computeMultiW (image,data);
%variables
if isempty(data.layers.number)
n=2;
else
n=data.layers.number;
end
if isempty(data.layers.dist)
dist_grid=3;
else
dist_grid=data.layers.dist;
end
if isempty(data.W.scales)
s=1:n;
elseif (length(data.W.scales)==n)
s=data.W.scales;
else
s=1:n;
end
if isempty(data.W.radius)
r(1)=2;
for i=2:n
r(i)=10;
end
else
r=data.W.radius;
end
if isempty(data.W.edgeVariance)
data.W.edgeVariance=0.1;
end
if isempty(data.W.gridtype)
data.W.gridtype='square';
end
if isempty(data.W.sigmaI)
data.W.sigmaI=0.12;
end
if isempty(data.W.sigmaX)
data.W.sigmaX=10;
end
if isempty(data.layers.weight)
coef(1)=5;
coef(2:n)=200;
elseif (length(data.layers.weight)==n)
coef=data.layers.weight;
else
coef(1)=5;
coef(2:n)=100; %200
end
if isempty(data.W.mode)
data.W.mode=mixed;
end
[p1,q1,ignore]=size(image);
image=image(:,:,1);
filter_par = [4,30,4]; %[9,30,4]
[x,y,gx,gy,par,threshold,emag,ephase,g,FIe,FIo,mago] = quadedgep2(image,filter_par,data,0.001);
minW=10^(-2); %-3
% function [multiWpp,constraintMat,p,q,Wppp,subgrid] = computemultiWpp(n,imageX,r,dist_grid,s,dataWpp,emag,ephase,minW,mode,facteurMul,contrainte,tt,gridtype,colormode,imageOriginale,subgridImageReduite,pG,qG)
p= p1*ones(n,1);
q= q1*ones(n,1);
d= dist_grid*ones(n,1);
d(1)=1;
for (i=2:n)
d(i)=d(i)*3^(i-2);
end
p=ceil(p1./d);
q=ceil(q1./d);
%computation of the subgrids (the first pixel is coded by one). S{i,j}(k) is the index of
%the kth pixel of the jth grid in the ith grid.
for i=1:n-1
for j=i+1:n
a=[0:p(j)*q(j)-1];
subgrid{i,j}=p(i)*(floor(a/p(j)))*d(j)/d(i)+(1+mod(a,p(j))*d(j)/d(i));
end
end
%computation of the independent W matrix for each layer Wind{i} 1=<i=<n.
[w1i,w1j]=cimgnbmap([p1,q1], r(1), 1);
if strcmp(data.W.mode,'mixed')
rMin = 0;
imageXX=double(image(:));
sigmaI= (std(imageXX(:)) + 1e-10 )* data.W.sigmaI;
Wpp{1} = multiIntensityFirstLayer(double(image),w1i,w1j,rMin,data.W.sigmaX,sigmaI,minW);
Wpp2= affinityic(emag(:,:,s(1)),ephase(:,:,s(1)),w1i,w1j,max(max(emag(:,:,s(1)))) * data.W.edgeVariance);
Wpp{1} = sqrt(Wpp{1} .* Wpp2)+0.1*Wpp2;
elseif strcmp(data.W.mode,'notmixed')
Wpp{1}= affinityic(emag(:,:,s(1)),ephase(:,:,s(1)),w1i,w1j,max(max(emag(:,:,s(1)))) * data.W.edgeVariance);
elseif strcmp(data.W.mode,'intensity')
rMin = 0;
imageXX=double(image(:));
sigmaI= (std(imageXX(:)) + 1e-10 )* data.W.sigmaI;
Wpp{1} = multiIntensityFirstLayer(double(image),w1i,w1j,rMin,data.W.sigmaX,sigmaI,minW);
end
Wpp{1}=coef(1)*(Wpp{1}+Wpp{1}')/2;
%Wpp{1}= coef(1)*Wpp{1};
Wind{1}=Wpp{1};
for i=2:n
if strcmp(data.W.gridtype,'square')
[wwi,wwj]=cimgnbmap([p(i),q(i)], r(i), 1);
elseif strcmp(data.W.gridtype,'star')
[wwi,wwj]=cimgnbmap_star([p(i),q(i)], r(i), 1);
elseif strcmp(data.W.gridtype,'cross')
[wwi,wwj]=cimgnbmap_cross([p(i),q(i)], r(i), 1);
end
wwi=double(wwi);
wiInOriginalImage=(p1*(floor(wwi/p(i)))*d(i))+(1+mod(wwi,p(i))*d(i));
wiInOriginalImage=(p1*(floor(wwi/p(i)))*d(i))+(1+mod(wwi,p(i))*d(i));
wiInOriginalImage= uint32(wiInOriginalImage);
if strcmp(data.W.mode,'mixed')
Wpp2= multiAffinityic(emag(:,:,i),ephase(:,:,i),wiInOriginalImage,wwj,subgrid{1,i},p(i),q(i),uint32(wwi),max(max(emag(:,:,i))) * data.W.edgeVariance);
a=floor(d(i)/d(i-1));
if (mod(a,2)==0)
a=a+1;
end
% Wpp{i} = multiIntensityWppc(double(imageX),wiInOriginalImage,wwj,rMin,dataWpp.sigmaX,sigmaI,minW,subgrid{1,i},p(i),q(i),wi{i});
Wpp{i} = multiIntensityWppc(double(image),wiInOriginalImage,wwj,rMin,data.W.sigmaX,sigmaI,minW,subgrid{1,i},p(i),q(i),uint32(wwi));
Wpp{i} = sqrt(Wpp{i} .* Wpp2)+0.1*Wpp2;
elseif strcmp(data.W.mode,'notmixed')
Wpp{i}= multiAffinityic(emag(:,:,i),ephase(:,:,i),wiInOriginalImage,wwj,subgrid{1,i},p(i),q(i),uint32(wwi),max(max(emag(:,:,i))) * data.W.edgeVariance);
elseif strcmp(data.W.mode,'intensity')
Wpp{i} = multiIntensityWppc(double(image),wiInOriginalImage,wwj,rMin,data.W.sigmaX,sigmaI,minW,subgrid{1,i},p(i),q(i),uint32(wwi));
end
Wpp{i}= coef(i)*(Wpp{i}+Wpp{i}')/2;
%Wpp{i}= coef(i)*Wpp{i};
Wind{i}=Wpp{i};
end
%computation of the intern contraint matrices C{i,j}.
for i=1:n-1
r=floor(d(i+1)/(d(i)*2));
[wwi,wwj]=cimgnbmap([p(i),q(i)], r, 1);
wi{i}=wwi;
wj{i}=wwj;
end
for i=1:n-1
for j=i+1:n
C{i,j}=sparse(p(i)*q(i),p(j)*q(j));
firstPointer=double(wj{i}(subgrid{i,j}))+1;
lastPointer=double(wj{i}(subgrid{i,j}+1));
invNbNeighbours=1./(lastPointer-firstPointer+1);
for (k=1:p(j)*q(j))
for (m=firstPointer(k):lastPointer(k))
C{i,j}(double(wi{i}(m))+1,k)=invNbNeighbours(k);
end
end
end
end
%Assembling the built matrices to make up multiWpp.
for i=1:n
if (i>1)
for j=i-1:-1:1
Wpp{i}=[C{j,i}',Wpp{i}];
end
end
if (i<n)
for j=i+1:n
Wpp{i}=[Wpp{i},C{i,j}];
end
end
end
% %Assembling the built matrices to make up Wpp without intern constrains.
% for i=1:n
% if (i>1)
% for j=i-1:-1:1
% Wpp{i}=[sparse(p(i)*q(i),p(j)*q(j)),Wpp{i}];
% end
% end
% if (i<n)
% for j=i+1:n
% Wpp{i}=[Wpp{i},sparse(p(i)*q(i),p(j)*q(j))];
% end
% end
% end
clear Wind;Wind = 1;
multiWpp=Wpp{1}; clear Wpp{1}
for i=2:n
multiWpp=[multiWpp;Wpp{i}];clear Wpp{i}
end
% Computing the average extern constraint
pq=sum(p(2:n).*q(2:n));
p2q2=p(2)*q(2);
constraintMat=[-C{1,2};speye(p2q2);sparse(pq-p2q2,p2q2)];
if n>2
for i=3:n
piqi=p(i)*q(i);
if i~=n
constraintMat=[constraintMat,[sparse(sum(p(1:i-2).*q(1:i-2)),piqi);-C{i-1,i};speye(piqi);sparse(pq-sum(p(2:i).*q(2:i)),piqi)]];
else
constraintMat=[constraintMat,[sparse(sum(p(1:i-2).*q(1:i-2)),piqi);-C{i-1,i};speye(piqi)]];
end
end
end
% saving useful information
%subgrids, p and q
data.subgrid=subgrid;
data.p=p;
data.q=q;
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