calculate distance within matlab
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x=[1,3,5];% x coordinatey=[2,2,1];% yz=[1,2,3];% z
example 1,
x=repmat(x',1,numel(x));% or x=x*ones(1,numel(x));x=(x-x')^2;y=repmat(y',1,numel(y));y=(y-y')^2;z=repmat(z',1,numel(z));z=(z-z')^2;d=sprt(x+y+z);%distance
example 2,
t=cat(2,x',y',z');t=t*t';n=size(t,1);d=sqrt(-2*t+diag(t)*ones(1,n)+ones(n,1)*diag(t)');%(x1-x2)^2+(y1-y2)^2+(z1-z2)^2 = -2(x1x2+y1y2+z1z2)+x1^2+y1^2+z1^2+x2^2+y2^2+z2^2
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