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Optical Engineering

Three-dimensional projective invariants of points from multiple images
Author(s): Xiao Chen; Jianxun Li; Zhengfu Zhu
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Paper Abstract

Invariance is widely used in 3-D object recognition due to its good performance on change of viewpoint. A method of computing 3-D invariants of seven points from two images is presented, which can be used to achieve reliable recognition of a 3-D object and scene. Based on the matrix representation of the projective transformation between 3-D and 2-D points, geometric invariants are derived by the determinant ratios. First, the general ratiocination about invariants is represented. Second, the general method of deriving 3-D invariants from images is proposed. Simulation results on real images show that the derived invariants remain stable and are quite robust and accurate.

Paper Details

Date Published: 1 November 2008
PDF: 6 pages
Opt. Eng. 47(11) 117203 doi: 10.1117/1.3028347
Published in: Optical Engineering Volume 47, Issue 11
Show Author Affiliations
Xiao Chen, Shanghai Jiao Tong Univ. (China)
Jianxun Li, Shanghai Jiao Tong Univ. (China)
Zhengfu Zhu, Shanghai Jiao Tong Univ. (China)

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