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ICPR
2010
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An Efficient and Stable Algorithm for Learning Rotations

13 years 2 months ago

An Efficient and Stable Algorithm for Learning Rotations

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This paper analyses the computational complexity and stability of an online algorithm recently proposed for learning rotations. The proposed algorithm involves multiplicative updates that are matrix exponentials of skew-symmetric matrices comprising the Lie algebra of the rotation group. The rank-deficiency of the skewsymmetric matrices involved in the updates is exploited to reduce the updates to a simple quadratic form. The Lyapunov stability of the algorithm is established and the application of the algorithm to registration of pointclouds in n-dimensional Euclidean space is discussed.

Raman Arora, William A. Sethares

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Algorithm | Computer Vision | ICPR 2010 | N-dimensional Euclidean Space | Simple Quadratic Form |

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Added	13 Feb 2011
Updated	13 Feb 2011
Type	Journal
Year	2010
Where	ICPR
Authors	Raman Arora, William A. Sethares

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