Simulation studies for the reconstruction of a straight line in 3D from two arbitrary perspective views using epipolar line method

Krishnan Swaminathan; Sukhendu Das; Raman Balasubramanian

doi:10.1117/12.468004

22 May 2002 Simulation studies for the reconstruction of a straight line in 3D from two arbitrary perspective views using epipolar line method

Krishnan Swaminathan, Sukhendu Das, Raman Balasubramanian

Author Affiliations +

Proceedings Volume 4667, Image Processing: Algorithms and Systems; (2002) https://doi.org/10.1117/12.468004
Event: Electronic Imaging, 2002, San Jose, California, United States

Abstract

Reconstruction of a line in 3-D space using arbitrary perspective views involves the problem of obtaining the set of parameters representing the line. This is widely used for many applications of 3-D object recognition and machine inspection. A performance analysis of the reconstruction process in the presence of noise in the image planes is necessary in certain applications which require a large degree of accuracy. In this paper, a methodology, which is based on the concept of epipolar line, for the reconstruction of a 3-D line, from two arbitrary perspective views is given. In this problem the points in the second image plane, which correspond to points in the first image plane are found by using epipolar line method, by considering all the points in the first image plane. Then triangulation law is used to find the points in 3-D space. Using least square regression in 3-D, the parameters of a line in 3-D space are found. This least square regression problem is solved by two different methods. Simulation study results of this epipolar line based method, in presence of noise, as well as results of error analysis are given.

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Krishnan Swaminathan, Sukhendu Das, and Raman Balasubramanian "Simulation studies for the reconstruction of a straight line in 3D from two arbitrary perspective views using epipolar line method", Proc. SPIE 4667, Image Processing: Algorithms and Systems, (22 May 2002); https://doi.org/10.1117/12.468004

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