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Proceedings Paper

Rational supershapes for surface reconstruction
Author(s): Y. D. Fougerolle; A. Gribok; S. Foufou; F. Truchetet; M. A. Abidi
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Paper Abstract

Simple representation of complex 3D data sets is a fundamental problem in computer vision. From a quality control perspective, it is crucial to use efficient and simple techniques do define a reference model for further recognition or comparison tasks. In this paper, we focus on reverse engineering 3D data sets by recovering rational supershapes to build an implicit function to represent mechanical parts. We derive existing techniques for superquadrics recovery to the supershapes and we adapt the concepts introduced for the ratioquadrics to introduce the rational supershapes. The main advantage of rational supershapes over standard supershapes is that the radius is now expressed as a rational fraction instead of sums and compositions of powers of sines and cosines, which allows simpler and faster computations during the optimization process. We present reconstruction results of complex 3D data sets that are represented by an implicit equation with a small number of parameters that can be used to build an error measure.

Paper Details

Date Published: 29 May 2007
PDF: 10 pages
Proc. SPIE 6356, Eighth International Conference on Quality Control by Artificial Vision, 63560M (29 May 2007); doi: 10.1117/12.736916
Show Author Affiliations
Y. D. Fougerolle, Le2i Lab., CNRS, Univ. of Burgundy (France)
A. Gribok, Univ. of Tennessee (United States)
S. Foufou, Le2i Lab., CNRS, Univ. of Burgundy (France)
F. Truchetet, Le2i Lab., CNRS, Univ. of Burgundy (France)
M. A. Abidi, Univ. of Tennessee (United States)


Published in SPIE Proceedings Vol. 6356:
Eighth International Conference on Quality Control by Artificial Vision

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