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# using Images
function pixelGrid(res=64)
m=collect(Iterators.product(-1.0:2.0/(res-1):1.0, -1:2.0/(res-1):1.0))[:] #equivilant to meshgrid
m=reshape(collect(Iterators.flatten(m)),2,length(m))
return m
end
function circle(resolution=64,radius=1,thresholded=true)
pixels = pixelGrid(resolution);
X=pixels[1,:];
Y=pixels[2,:];
frep1= ((radius).*(radius).-((X.-(0)).*(X.-(0)).+(Y.-(0)).*(Y.-(0))));
if thresholded
frep1[frep1.<0.5].=0.0;
frep1[frep1.>=0.5].=1.0;
end
#eturn reshape(frep1,resolution,resolution)
return frep1
end
function lossFunction(im,frep1)
return sum(abs.(im.-frep1))/length(im)
end