A General Expression of the Fundamental Matrix for Both Perspective and Affine Cameras

Zhang, Zhengyou; Xu, Gang

A General Expression of the Fundamental Matrix for Both Perspective and Affine Cameras

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Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence. Vision. Pages 1502-1509.

Abstract

This paper addresses the recov ery 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 mod el 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 estim ating the affine epipol ar geometry and then performing a triangu l ation for each point match with respect to an implicit common affine basis. This technique is very efficient.

Zhengyou Zhang, and Gang Xu. 1997. A General Expression of the Fundamental Matrix for Both Perspective and Affine Cameras. In Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence, IJCAI-97. IJCAI, 1502–1509. https://ijcai.org/proceedings/1997/216

@inproceedings{ijcai1997p216,
  title     = {A General Expression of the Fundamental Matrix for Both Perspective and Affine Cameras},
  author    = {Zhang, Zhengyou and Xu, Gang},
  booktitle = {Proceedings of the Fifteenth International Joint Conference on
               Artificial Intelligence, {IJCAI-97}},
  publisher = {International Joint Conferences on Artificial Intelligence},
  editor    = {Martha E. Pollack},
  pages     = {1502--1509},
  year      = {1997},
  note      = {Vision},
  url       = {https://ijcai.org/proceedings/1997/216},
}

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TI  - A General Expression of the Fundamental Matrix for Both Perspective and Affine Cameras
AU  - Zhang, Zhengyou
AU  - Xu, Gang
T2  - Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence, IJCAI-97
PB  - International Joint Conferences on Artificial Intelligence
PY  - 1997
SP  - 1502
EP  - 1509
UR  - https://ijcai.org/proceedings/1997/216
ER  -