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193 | function U=MedianFilter(Ui,mesh_file,lc)
persistent cond
check=0;
typ=1;
U=Ui;
if lc>0
load(mesh_file,'-mat','xo','yo','zo','Nnodes','conn','elt');
% seg=[1:size(conn,2)-1;2:size(conn,2)];
% conn=conn(:,seg(:));
% conn=reshape(conn',2,size(seg,2)*size(conn,1))';
% conn=unique(conn,'rows','stable');
Ux=Ui((1:prod(Nnodes)));
dflag=size(Ui,1)==3*prod(Nnodes);
uflag=size(Ui,1)>=2*prod(Nnodes);
if uflag
Uy=Ui(prod(Nnodes)+(1:prod(Nnodes)));
end
if dflag
Uz=Ui(2*prod(Nnodes)+(1:prod(Nnodes)));
end
if isempty(cond)
if 0
one=sparse(ones(prod(Nnodes),1));
cx=abs(sparse(xo)*one'-one*sparse(xo'))<=lc;
cy=abs(sparse(yo)*one'-one*sparse(yo'))<=lc;
cond=cx&cy;
else
if 1
cond=sparse(prod(Nnodes),prod(Nnodes));
indi=conn(:);
indi(conn(:)==0)=[];
for ii=1:size(conn,2)
indj=repmat(conn(:,ii),size(conn,2),1);
indj(conn(:)==0)=[];
cond=cond+sparse(indi(indj>0),indj(indj>0),1,prod(Nnodes),prod(Nnodes));
end
% for il=1:lc-1
% condo=cond;
% for in=1:prod(Nnodes);
% lin=sum(condo(:,condo(:,in)>0),2);
% cond(lin>0,in)=1;
% end
% end
condo=cond;
for il=1:lc-1
cond=cond*condo;
end
if typ==0
for in=1:prod(Nnodes)
inods=cond(:,in)>0;
distn=abs(xo(inods)-xo(in)+1i*(yo(inods)-yo(in))).^2;
lcc=sqrt(max(distn)/2);
distn=exp(-distn/(2*(lcc/3)^2));
distn=distn/sum(distn);
% cond(inods,in)=exp(-abs(xo(inods)-xo(in)+1i*(yo(inods)-yo(in))).^2/(2*(lc/3)^2))/(sqrt(2*pi)*lc/3);
cond(inods,in)=distn;
end
end
if check
for in=1:prod(Nnodes)
figure
plot(xo,yo,'+')
hold on
plot(xo(cond(:,in)>0),yo(cond(:,in)>0),'ro')
plot(xo(in),yo(in),'ks')
pause
close all
end
end
% cond=cond-diag(diag(cond));
else
cond=sparse(prod(Nnodes),prod(Nnodes));
%indi=zeros(prod(Nnodes)*10);
%indj=zeros(prod(Nnodes)*10);
%nel=0;
for in=1:prod(Nnodes)
new=1;
inods=in;
while new
ielts=GetEltsFromNodes(conn,elt,inods);
inew=GetNodesFromElts(conn(ielts,:),elt(ielts));
%found=abs(xo(inew)-xo(in)+1i*(yo(inew)-yo(in)))<=lc;
found=(abs(xo(inew)-xo(in))<=lc)&(abs(yo(inew)-yo(in))<=lc);
new=sum(found)>length(inods);
if new, inods=inew;end
end
% if in/10==round(in/10)
% figure
% plot(xo,yo,'x')
% hold on
% plot(xo(inods),yo(inods),'ro')
% plot(xo(in),yo(in),'ks')
% pause
% end
if typ
% indi(nel+(1:length(inods)))=inods;
cond(inods,in)=1;
else
% indi(nel+(1:length(inods)))=exp(-abs(xo(inods)-xo(in)+1i*(yo(inods)-yo(in))).^2/(2*(lc/3)^2))/(sqrt(2*pi)*lc/3);
cond(inods,in)=exp(-abs(xo(inods)-xo(in)+1i*(yo(inods)-yo(in))).^2/(2*(lc/3)^2))/(sqrt(2*pi)*lc/3);
end
% indj(nel+(1:length(inods)))=in;
% nel=nel+length(inods);
end
% indi((nel+1):end)=[];
% indj((nel+1):end)=[];
% cond=sparse(indi,indj,1,prod(Nnodes),prod(Nnodes));
end
end
end
for in=1:prod(Nnodes)
% new=1;
% inods=in;
% while new
% ielts=GetEltsFromNodes(conn,elt,inods);
% inew=GetNodesFromElts(conn(ielts,:),elt(ielts));
% found=abs(xo(inew)-xo(in)+1i*(yo(inew)-yo(in)))<=lc;
% new=sum(found)>length(inods);
% if new, inods=inew;end
% end
% inods=(abs(xo-xo(in)+1i*(yo-yo(in)))<=lc);
% inods=(abs(xo-xo(in))<=lc)&(abs(yo-yo(in))<=lc);
inods=cond(:,in)>0;
% sum(inods)
% figure
% plot3(xo,yo,zo,'+')
% hold on
% plot3(xo(cond(:,in)>0),yo(cond(:,in)>0),zo(cond(:,in)>0),'ro')
% pause
% close all
% if in/10==round(in/10)
% figure
% plot(xo,yo,'x')
% hold on
% plot(xo(inods),yo(inods),'ro')
% plot(xo(in),yo(in),'ks')
% pause
% close all
%
% end
% inods(in)=0;
if typ
U(in)=median(Ux(inods));
% U(in)=0.5*median(Ux(inods))+0.5*mean(Ux(inods));
% tmp=Ux(inods);
% if U(in)>Ux(in)
%
% U(in)=median(tmp(tmp>U(in)));
% else
% U(in)=median(tmp(tmp<U(in)));
% end
if uflag
U(prod(Nnodes)+in)=median(Uy(inods));
% U(prod(Nnodes)+in)=0.5*median(Uy(inods))+0.5*mean(Uy(inods));
% tmp=Uy(inods);
% if U(prod(Nnodes)+in)>Uy(in)
%
% U(prod(Nnodes)+in)=median(tmp(tmp>U(prod(Nnodes)+in)));
% else
% U(prod(Nnodes)+in)=median(tmp(tmp<U(prod(Nnodes)+in)));
% end
end
if dflag
U(2*prod(Nnodes)+in)=median(Uz(inods));
end
else
U(in)=(Ux)'*cond(:,in);
if uflag
U(prod(Nnodes)+in)=Uy'*cond(:,in);
end
if dflag
U(2*prod(Nnodes)+in)=(Uz)'*cond(:,in);
end
end
end
end
end
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