Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
441909 | Graphical Models | 2011 | 8 Pages |
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.