Non-epipolar rigidity constraint over image-to-image correspondences under paraperspective projection
Ronald Chung · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1997
In an earlier work, Bennett et al. proposed an algebraic condition for four point pairs over two images to be projected by a rigid object. However, the condition is valid only if the images are projected orthographically and from exactly the same viewing distance. As a sequel to two previous attempts in extending the rigidity condition to more general cases, this paper shows how a similar condition can be constructed in the case when the camera projection processes can be described by paraperspective projection. This paper also shows how the rigidity conditions is related to the well-known epipolar constraint under that class of camera projection models. The rigidity condition has potential applications in stereo matching, motion correspondence, and object segmentation.© (1997) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.