Using Quaternions for Parametrizing 3D Rotations in Unconstrained Nonlinear Optimization

  • In this paper we address the problem of using quaternions in unconstrained nonlinear optimization of 3-D rotations. Quaternions representing rotations have four elements but only three degrees of freedom, since they must be of norm one. This constraint has to be taken into account when applying e.g. the Levenberg-Marquardt algorithm, a method for unconstrained nonlinear optimization widely used in computer vision. We propose an easy to use method for achieving this. Experiments using our parametrization in photo grammetric bündle -adjustment are presented at the end of the paper.

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Metadaten
Author:Jochen SchmidtORCiD, H. Niemann
Parent Title (English):Vision, Modeling, and Visualization 2001, pages 399-406, Stuttgart, Germany
Document Type:Conference Proceeding
Language:English
Publication Year:2002
Year of first Publication:2002
Tag:3D Rotations; Pattern recognition; Unconstrained NonlinearOptimization
faculties / departments:Fakultät für Informatik
Dewey Decimal Classification:0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 000 Informatik, Informationswissenschaft, allgemeine Werke