Projective Rectification with Reduced Geometric Distortion for Stereo Vision and Stereoscopic Video

Author: Wu Hsien-Huang   Yu Yu-Hua  

Publisher: Springer Publishing Company

ISSN: 0921-0296

Source: Journal of Intelligent and Robotic Systems, Vol.42, Iss.1, 2005-01, pp. : 71-94

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Abstract

Projective geometry has been proved to be a useful tool for solving the rectification problem without camera calibration. However, if the matrices used for projective rectification (homographies) are not constrained properly, the rectification process can cause great geometric distortion. For visual application, e.g., tele-operation for remotely controlled robot arm, rectification with minimum geometry distortion should be pursued. In this paper, we propose an improved algorithm to minimize the distortion by combining a newly developed projective transform with a properly chosen shearing transform. Experimental data show that our proposed method works quite well for all the image pairs under test. Comparison with other available methods based on visual inspection and numerical data demonstrates the superiority of the new approach.