Rational supershapes for surface reconstruction

Y. D. Fougerolle; A. Gribok; S. Foufou; F. Truchetet; M. A. Abidi

doi:10.1117/12.736916

29 May 2007 Rational supershapes for surface reconstruction

Y. D. Fougerolle, A. Gribok, S. Foufou, F. Truchetet, M. A. Abidi

Proceedings Volume 6356, Eighth International Conference on Quality Control by Artificial Vision; 63560M (2007) https://doi.org/10.1117/12.736916
Event: Eighth International Conference on Quality Control by Artificial Vision, 2007, Le Creusot, France

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.

Citation Download Citation

Y. D. Fougerolle, A. Gribok, S. Foufou, F. Truchetet, and M. A. Abidi "Rational supershapes for surface reconstruction", Proc. SPIE 6356, Eighth International Conference on Quality Control by Artificial Vision, 63560M (29 May 2007); https://doi.org/10.1117/12.736916

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available