Reconstruction of quadratic curves in 3D using two or more perspective views: simulation studies

Sanjeev Kumar; N. Sukavanam; R. Balasubramanian

doi:10.1117/12.637736

18 January 2006 Reconstruction of quadratic curves in 3D using two or more perspective views: simulation studies

Sanjeev Kumar, N. Sukavanam, R. Balasubramanian

Proceedings Volume 6066, Vision Geometry XIV; 60660M (2006) https://doi.org/10.1117/12.637736
Event: Electronic Imaging 2006, 2006, San Jose, California, United States

Abstract

The shapes of many natural and man-made objects have planar and curvilinear surfaces. The images of such curves usually do not have sufficient distinctive features to apply conventional feature-based reconstruction algorithms. In this paper, we describe a method of reconstruction of a quadratic curve in 3-D space as an intersection of two cones containing the respective projected curve images. The correspondence between this pair of projections of the curve is assumed to be established in this work. Using least-square curve fitting, the parameters of a curve in 2-D space are found. From this we are reconstructing the 3-D quadratic curve. Relevant mathematical formulations and analytical solutions for obtaining the equation of reconstructed curve are given. The result of the described reconstruction methodology are studied by simulation studies. This reconstruction methodology is applicable to LBW decision in cricket, path of the missile, Robotic Vision, path lanning etc.

Citation Download Citation

Sanjeev Kumar, N. Sukavanam, and R. Balasubramanian "Reconstruction of quadratic curves in 3D using two or more perspective views: simulation studies", Proc. SPIE 6066, Vision Geometry XIV, 60660M (18 January 2006); https://doi.org/10.1117/12.637736

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