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initial commit
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function Vst = TVDerivative(img)
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fxy = padarray(img, [1,1], 0, 'both');
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fxnegy = circshift(fxy, [-1, 0]);
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fxposy = circshift(fxy, [1, 0]);
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fnegxy = circshift(fxy, [0, -1]);
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fposxy = circshift(fxy, [0, 1]);
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fposxnegy = circshift(fxy, [-1 1]);
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fnegxposy = circshift(fxy, [1 -1]);
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eps = realmin;
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vst1 = (2*(fxy - fnegxy) + 2*(fxy - fxnegy))./sqrt(eps + (fxy - fnegxy).^2 ...
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+ (fxy - fxnegy).^2);
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vst2 = (2*(fposxy - fxy))./sqrt(eps + (fposxy - fxy).^2 ...
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+ (fposxy - fposxnegy).^2);
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vst3 = (2*(fxposy - fxy))./sqrt(eps + (fxposy - fxy).^2 ...
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+ (fxposy - fnegxposy).^2);
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vst = vst1 - vst2 - vst3;
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Vst = vst(2:end-1,2:end-1);
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end
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