Properties and Applications of the Simplified Generalized Perpendicular Bisector

Richard, Aurélie; Largeteau-Skapin, Gaëlle; Rodríguez, Marc; Andrès, Éric; Fuchs, Laurent; Ouattara, Jean Serge Dimitri

doi:10.1007/978-3-642-19867-0_25

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2011

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“…This method is based on the construction of a reflection sequence which aligns the points with their correspondences one by one. As explained by its authors, this method is not well suited for noisy data [13]. In this case, retrieving the reflexion axis could be very difficult.…”

Section: Introductionmentioning

confidence: 99%

Decomposition of nD-rotations: Classification, properties and algorithm

Richard¹,

Fuchs²,

Largeteau-Skapin³

et al. 2011

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In this paper, the decomposition of nD-rotations is studied. Using this decomposition, nD-rotations are classified and properties are underlined. For each class, an algorithm previously presented by the authors to decompose nD-rotation into planar rotations is proposed and a generalized algorithm is presented. Moreover, an alternate algorithm based on the Schur decomposition is investigated. A comparison between these different algorithms is finally provided.

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Section: Introductionmentioning

confidence: 99%