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  A unified theory of uncalibrated stereo for both perspective and affine cameras (1998) [1 citations — 0 self]

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by Zhengyou Zhang
Journal of Mathematical Imaging and Vision
http://www.cv.cs.ritsumei.ac.jp/~xu/JMIV.ps.gz
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Abstract:

Abstract. This paper addresses the recovery of structure and motion from uncalibrated images of a scene under full perspective or under aOEne projection. Particular emphasis is placed on the con��guration of two views, while the extension to N views is given in an appendix. A uni��ed expression of the fundamental matrix is derived which is valid for any projection model without lens distortion (including full perspective and aOEne camera). AOEne reconstruction is considered as a special projective reconstruction. The theory is elaborated in a way such that everyone having knowledge of linear algebra can understand the discussion without diOEculty. A new technique for aOEne reconstruction is developed, which consists in ��rst estimating the aOEne epipolar geometry and then performing a triangulation for each point match with respect to an implicit common aOEne basis.

Citations

46 Artificial vision for mobile robots – Ayache - 1991
36 Perspective approximations – Aloimonos - 1990
3 Navigation using aOEne structure from motion – Beardsley, Zisserman, et al. - 1994