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Proceedings Paper

Three-dimensional description of symmetric objects from range images
Author(s): Nicolas Alvertos; Ivan D'Cunha
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Paper Abstract

This paper presents a new technique for the three-dimensional recognition of symmetric objects from range images. Beginning from the implicit representation of quadrics a set of ten coefficients is determined for symmetric objects like spheres cones cylinders ellipsoids and parallelepipeds. Instead of using these ten coefficients trying to fit them to smooth surfaces (patches) based on the traditional way of determining curvatures a new approach based on two-dimensional geometry is utilized. For each symmetric object a unique set of two-dimensional curves is obtained from the various angles at which the object is intersected with a plane. Utilizing the same ten coefficients obtained earher and based on the discriminant method each of these curves is classified as a parabola a circle an ellipse or a hyperbola. Each symmetric object is found to possess a unique set of these two-dimensional curves whereby it can be differentiated from the others. In other words it is shown that instead of using the three-dimensional discriminant which involves evaluation of the rank of its matrix it is sufficient to utilize the two-dimensional discriminant which only requires three arithmetic operations. This approach seems to be more accurate and computationally inexpensive compared to the traditional approaches. 1.

Paper Details

Date Published: 1 February 1991
PDF: 9 pages
Proc. SPIE 1382, Intelligent Robots and Computer Vision IX: Neural, Biological, and 3D Methods, (1 February 1991); doi: 10.1117/12.25232
Show Author Affiliations
Nicolas Alvertos, Old Dominion Univ. (United States)
Ivan D'Cunha, Old Dominion Univ. (United States)


Published in SPIE Proceedings Vol. 1382:
Intelligent Robots and Computer Vision IX: Neural, Biological, and 3D Methods
David P. Casasent, Editor(s)

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