Robust Software for Computing Camera Motion Parameters
| Autor: | Harlyn Baker, Zeyu Li, Robert Schreiber |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Statistics and Probability
Camera matrix business.industry Applied Mathematics Computation Spectral properties ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Perturbation (astronomy) Rotation matrix Condensed Matter Physics Matrix (mathematics) Software Modeling and Simulation Singular value decomposition Computer vision Geometry and Topology Computer Vision and Pattern Recognition Artificial intelligence business Algorithm Mathematics |
| Zdroj: | Journal of Mathematical Imaging and Vision. 33:1-9 |
| ISSN: | 1573-7683 0924-9907 |
| DOI: | 10.1007/s10851-008-0106-1 |
| Popis: | We revisit the method of Tsai, Huang, and Zhu for the computation of camera motion parameters in computer vision. We elucidate some spectral properties of the homography matrices that arise, which are rank-one perturbations of rotation matrices. We show how to correct for noise by finding the rank-one perturbation of a rotation closest to a give matrix. We illustrate some of the inaccuracies and computational failures that can arise when using the formulas given by Tsai, and we propose new formulas that avoid these pitfalls. A computational experiment shows that the new methods are indeed quite robust. |
| Databáze: | OpenAIRE |
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