Title :
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
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;
Conference_Titel :
Image Processing, 2007. ICIP 2007. IEEE International Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
978-1-4244-1437-6
Electronic_ISBN :
1522-4880
DOI :
10.1109/ICIP.2007.4379214
