try05

function xyOut = solver(a, xyIn, wts)

N=size(xyIn,1);

D=min(N,mindist(a));
mD=mean(D,1);
E=D-repmat(mD,[size(D,1),1])-repmat(mD',[1,size(D,2)])+mean(mD);
[x,nill]=svd(E);
xyOut0=x(:,1:2); 

beta1=10;
beta2=100;
lambda=.2;
thr=.01;
xyOut=N*xyOut0+randn(size(xyOut0))/1e3;
for ncut=1:2
    M=a; M(1:size(M,1)+1:end)=1;
    M=bsxfun(@rdivide,M,sum(M,2));
    Mbeta=(((1-lambda)*eye(N)+lambda*M)^beta1);
    for n1=1:beta2
        xyOut=Mbeta*xyOut;
        mxyOut=mean(xyOut,1);
        cxyOut=cov(xyOut,1);
        [c1,d1,c2]=svd(cxyOut);
        xyOut=(xyOut-mxyOut(ones(N,1),:))*c1*diag(1./sqrt(.1+diag(d1)))*c2'; %sqrtm(pinv(.1*eye(2)+cxyOut));
    end
    [i,j]=find(a>thr); 
    dd=sum((xyOut(i,:)-xyOut(j,:)).^2,2);
    k=find(dd>5*mean(dd));
    if isempty(k), break; end
    a(i(k)+N*(j(k)-1))=thr;
end
xyOut0=xyOut;


xyOut0=sqrt(N)*detrend(xyOut0,'constant')*diag(1./max(eps,std(xyOut0,1,1)));
K=10;
k=1;
[sxyOut0,idxequal]=sortrows(round(K*xyOut0)/K);
idxequal=idxequal(all(~diff(sxyOut0,1,1),2));
xyOut=round(xyOut0*k);
while size(unique(xyOut,'rows'),1)~=N
    k=k*2;
    xyOut=xyOut0*k;
    xyOut(idxequal,:)=(xyOut0(idxequal,:)+randn(numel(idxequal),2)/K)*k;
    xyOut=round(xyOut);
end
xyOut=bsxfun(@plus,xyOut,round(median(xyIn,1)-median(xyOut,1)));

end

function D=mindist(C)

N=size(C,1);
X=logical(speye(N));
D=inf(N,N);

D(X)=0;
for n=1:N,
    X=(C*X)>0;
    X=X&(D>n);
    if ~any(X(:)),break;end
    D(X)=n;
end

end