Yet another representation of SO(3) by spherical functions for pose estimation

Proceedings of FCV 2010 : The 16th Korea-Japan Joint Workshop on Frontiers of Computer Vision Page 402-407 published_at 2010-02
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Title ( eng )
Yet another representation of SO(3) by spherical functions for pose estimation
Creator
Amano Toshiyuki
Source Title
Proceedings of FCV 2010 : The 16th Korea-Japan Joint Workshop on Frontiers of Computer Vision
Start Page 402
End Page 407
Abstract
We propose a novel representation of SO(3) pose in 3 degrees-of-freedom (DOF)for view-based pose estimation. First we show that a conventional representation of pose in 1DOF is a Fourier basis, and extend the observation to 2 DOF with spherical harmonics. Thenwe represent 3 DOF pose with spherical functions that are continuous orthonormal basis onSO(3), and give transformations from the spherical functions representation to a quaternionand a rotation matrix.
NDC
Electrical engineering [ 540 ]
Language
eng
Resource Type conference paper
Publisher
FCV 2010 Committee
Date of Issued 2010-02
Rights
Copyright (c) 2010 Authors
Publish Type Version of Record
Access Rights open access
Source Identifier
[URI] http://ir.lib.hiroshima-u.ac.jp/00028636