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Least-Squares Rigid Motion Using SVD
Least-Squares Rigid Motion Using SVD Olga Sorkine-Hornung and Michael Rabinovich ... translation by taking the derivative of Fw.r.t. t and searching for its roots: 0 = @F @t = Xn i=1 2w i(Rp i+ t q i) = = 2t Xn i=1 w i! + 2R Xn i=1 w ip i! 2 Xn i=1 w iq i: (2) Denote p = ... remind the reader that the trace of a square matrix is the sum of the ...
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As-Rigid-As-Possible Surface Modeling - Olga Sorkine-Hornung
igl.ethz.chface deformations induced by modeling operations are close to rigid, surface details tend to be preserved. This is a highly important property for surface editing schemes that are meant to be applied to complex, detailed surfaces, such as those coming from scanning real 3D objects or from sophis-ticated virtual sculpting tools.
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