On the closed-form solution of the rotation matrix arising in computer vision problems

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dc.creatorMyronenko, Andriy
dc.creatorSong, Xubo
dc.date2009-04-09
dc.date.accessioned2026-07-07T13:02:23Z
dc.date.available2026-07-07T13:02:23Z
dc.descriptionWe show the closed-form solution to the maximization of trace(A'R), where A is given and R is unknown rotation matrix. This problem occurs in many computer vision tasks involving optimal rotation matrix estimation. The solution has been continuously reinvented in different fields as part of specific problems. We summarize the historical evolution of the problem and present the general proof of the solution. We contribute to the proof by considering the degenerate cases of A and discuss the uniqueness of R.
dc.identifierhttps://arxiv.org/abs/0904.1613
dc.identifierhttp://arxiv.org/abs/0904.1613
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226430
dc.subjectComputer Vision and Pattern Recognition
dc.titleOn the closed-form solution of the rotation matrix arising in computer vision problems
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