30 lines
943 B
Mathematica
30 lines
943 B
Mathematica
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function [ A, T, error, alignedShape ] = AlignShapesWithScale( alignFrom, alignTo )
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%ALIGNSHAPESWITHSCALE Summary of this function goes here
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% Detailed explanation goes here
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numPoints = size(alignFrom,1);
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meanFrom = mean(alignFrom);
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meanTo = mean(alignTo);
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alignFromMeanNormed = bsxfun(@minus, alignFrom, meanFrom);
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alignToMeanNormed = bsxfun(@minus, alignTo, meanTo);
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% scale now
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sFrom = sqrt(sum(alignFromMeanNormed(:).^2)/numPoints);
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sTo = sqrt(sum(alignToMeanNormed(:).^2)/numPoints);
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s = sTo / sFrom;
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alignFromMeanNormed = alignFromMeanNormed/sFrom;
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alignToMeanNormed = alignToMeanNormed/sTo;
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[R, t] = AlignShapesKabsch(alignFromMeanNormed, alignToMeanNormed);
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A = s * R;
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aligned = (A * alignFrom')';
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T = mean(alignTo - aligned);
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alignedShape = bsxfun(@plus, aligned, T);
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error = sqrt(mean(sum((alignedShape - alignTo).^2,2)));
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end
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