Article ID Journal Published Year Pages File Type
441909 Graphical Models 2011 8 Pages PDF
Abstract

In this paper, the decomposition of nD-rotations is studied. Using this decomposition, nD-rotations are classified and properties are underlined. A generalization of the algorithm previously presented by the authors to decompose nD-rotation into planar rotations is proposed. Since our framework includes experimental applications, we designed a method that is somewhat robust to noise. An alternate algorithm based on the Schur decomposition is investigated. A comparison between both methods is finally provided.

Graphical abstractFigure optionsDownload full-size imageDownload as PowerPoint slideHighlights►Classification of nD-rotations. ► Decomposition algorithm. ► Algorithm that deals with isoclinic rotations. ► Comparison with the Schur decomposition of nD-rotations. ► Method that is robust to noise for nD-rotation decomposition.

Related Topics
Physical Sciences and Engineering Computer Science Computer Graphics and Computer-Aided Design
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