Genetic Algorithms for Gielis Surface Recovery from 3D Data Sets

Author

Bokhabrine, Y. ; Fougerolle, Y.D. ; Foufou, S. ; Truchetet, F.

Author_Institution

Univ. de Bourgogne, Bourgogne

Volume

2

fYear

2007

fDate

Sept. 16 2007-Oct. 19 2007

Abstract

In this paper, we apply genetic algorithms to reconstruct Gielis surfaces from 3D data sets. The Levenberg-Marquardt method has been used as a standard for superquadrics recovery and has recently been extended to Gielis surfaces. Unfortunately, the non homogeneity of the Gielis surface parameters requires additional heuristic to determine discrete parameters such as the number of symmetries. Genetic algorithms overcome this issue and provide a more general framework for Gielis surface reconstruction.

Keywords

genetic algorithms; image reconstruction; surface reconstruction; 3D data sets; Gielis surface reconstruction; Levenberg-Marquardt method; genetic algorithm; superquadrics recovery; Biological cells; Cost function; Equations; Genetic algorithms; Iterative algorithms; Minimization methods; Reconstruction algorithms; Shape; Solid modeling; Surface reconstruction; Geometric modeling; Gielis surfaces; genetic algorithms; superquadrics; supershapes; surface reconstruction;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 2007. ICIP 2007. IEEE International Conference on

Conference_Location

San Antonio, TX

ISSN

1522-4880

Print_ISBN

978-1-4244-1437-6

Electronic_ISBN

1522-4880

Type

conf

DOI

10.1109/ICIP.2007.4379214

Filename

4379214