A General Expression of the Fundamental Matrix for Both Perspective and Affine Cameras (1997)
| Venue: | Proceedings of the 15 th International Joint Conference on Artificial Intelligence |
| Citations: | 3 - 0 self |
BibTeX
@INPROCEEDINGS{Zhang97ageneral,
author = {Zhengyou Zhang and Gang Xu},
title = {A General Expression of the Fundamental Matrix for Both Perspective and Affine Cameras},
booktitle = {Proceedings of the 15 th International Joint Conference on Artificial Intelligence},
year = {1997},
pages = {23--29}
}
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Abstract
This paper addresses the recovery of structure and motion from two uncalibrated images of a scene under full perspective or under affine projection. Epipolar geometry, projective reconstruction, and affine reconstruction are elaborated in a way such that everyone having knowledge of linear algebra can understand the discussion without difficulty. A general expression of the fundamental matrix is derived which is valid for any projection model without lens distortion (including full perspective and affine camera). A new technique for affine reconstruction from two affine images is developed, which consists in first estimating the affine epipolar geometry and then performing a triangulation for each point match with respect to an implicit common affine basis. This technique is very efficient.
