Modeling of 3-D Depth from 2-D Views by Graphical Interpretation
Farhad A. Kamangar, S.A. Underwood · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1990
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.