Modeling of 3-D Depth from 2-D Views by Graphical Interpretation

Farhad A. Kamangar; Stephen Underwood

doi:10.1117/12.969793

1 March 1990 Modeling of 3-D Depth from 2-D Views by Graphical Interpretation

Farhad A. Kamangar, Stephen Underwood

Proceedings Volume 1192, Intelligent Robots and Computer Vision VIII: Algorithms and Techniques; (1990) https://doi.org/10.1117/12.969793
Event: 1989 Symposium on Visual Communications, Image Processing, and Intelligent Robotics Systems, 1989, Philadelphia, PA, United States

Abstract

A method for obtaining 3-D depth information from 2-D views is presented. The method assumes that a set of corresponding points between two views of a solid object is given. The second view is generated by rotating the object around an arbitrary pivot point and then translating it in 3-D space. This method uses a graphical interpretation to relate the projections of each point in the first and second views. A gradient descent algorithm is used to solve a set of nonlinear equations with five unknowns from five or more corresponding points in each view. The major advantage of the method will be the adaptability to corresponding points between two views which are "noisy" due to digitization error and feature selector inaccuracies. The bounds imposed by the graphical interpretation will reduce the search space which proves to be an important factor in the convergence of the algorithm. This paper does not address the point correspondence problem and assumes that the matching of individual points in two views has been accomplished.

Citation Download Citation

Farhad A. Kamangar and Stephen Underwood "Modeling of 3-D Depth from 2-D Views by Graphical Interpretation", Proc. SPIE 1192, Intelligent Robots and Computer Vision VIII: Algorithms and Techniques, (1 March 1990); https://doi.org/10.1117/12.969793

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