Rational supershapes for surface reconstruction

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish (US)
Title of host publicationEighth International Conference on Quality Control by Artificial Vision
Volume6356
DOIs
StatePublished - Nov 1 2007
Event8th International Conference on Quality Control by Artificial Vision - Le Creusot, France
Duration: May 23 2007May 25 2007

Other

Other8th International Conference on Quality Control by Artificial Vision
CountryFrance
CityLe Creusot
Period5/23/075/25/07

Fingerprint

Surface Reconstruction
Surface reconstruction
Reverse engineering
Computer vision
Quality control
reverse engineering
Recovery
computer vision
quality control
Chemical analysis
recovery
Implicit Function
optimization
radii
Reverse Engineering
Reference Model
Quality Control
Process Optimization
Computer Vision
Radius

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

Fougerolle, Y. D., Gribok, A., Foufou, S., Truchetet, F., & Abidi, M. A. (2007). Rational supershapes for surface reconstruction. In Eighth International Conference on Quality Control by Artificial Vision (Vol. 6356). [63560M] https://doi.org/10.1117/12.736916

Rational supershapes for surface reconstruction. / Fougerolle, Y. D.; Gribok, A.; Foufou, Sebti; Truchetet, F.; Abidi, M. A.

Eighth International Conference on Quality Control by Artificial Vision. Vol. 6356 2007. 63560M.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Fougerolle, YD, Gribok, A, Foufou, S, Truchetet, F & Abidi, MA 2007, Rational supershapes for surface reconstruction. in Eighth International Conference on Quality Control by Artificial Vision. vol. 6356, 63560M, 8th International Conference on Quality Control by Artificial Vision, Le Creusot, France, 5/23/07. https://doi.org/10.1117/12.736916
Fougerolle YD, Gribok A, Foufou S, Truchetet F, Abidi MA. Rational supershapes for surface reconstruction. In Eighth International Conference on Quality Control by Artificial Vision. Vol. 6356. 2007. 63560M https://doi.org/10.1117/12.736916
Fougerolle, Y. D. ; Gribok, A. ; Foufou, Sebti ; Truchetet, F. ; Abidi, M. A. / Rational supershapes for surface reconstruction. Eighth International Conference on Quality Control by Artificial Vision. Vol. 6356 2007.
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