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  Relative Affine Depth: Structure from Motion by An Uncalibrated Camera

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by Zhong-ying Zhang, Hung-tat Tsui
http://www.ee.cuhk.edu.hk/~zyzhang/publications/accv98.ps
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Abstract:

Abstract. In this paper, a new projective model for 3D information representation, termed relative affine depth (RAD), is derived for the solution to structure recovery of an object at arbitrary positions with respect to uncalibrated cameras. The RAD of a spatial point is proven inversely proportional (subject to a projective scale) to the Euclidean depth of a spatial point in a camera-centered coordinate frame, which is sequentially obtained in a straitforward way. The point matches are accomplished using a feature point tracking algorithm developed by us. Experiments with real objects show good results for shape recovery. 1

Citations

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60 Projective structure from uncalibrated images: structure from motion and recognition – Shashua - 1994
49 3D motion recovery via affine epipolar geometry – Shapiro, Zisserman, et al. - 1995
49 Relative affine structure: Canonical model for 3D from 2D geometry and applications – Shashua, Navab - 1996
20 Computational projective geometry – Kanatani - 1991
2 Feature Tracking from an Image Sequence Using Geometric Invariants – Tsui, Zhang, et al. - 1997
1 A linear method for reconstruction using multiple uncalibrated images – Hartley - 1995
1 et al., "Relative 3D reconstruction using multiple uncalibrated images – Mohr - 1993
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