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Article dans une revue
Universal Natural Shapes: From Unifying Shape Description to Simple Methods for Shape Analysis and Boundary Value Problems
Abstract : Gielis curves and surfaces can describe a wide range of natural shapes and they have been used in various studies in biology and physics as descriptive tool. This has stimulated the generalization of widely used computational methods. Here we show that proper normalization of the Levenberg-Marquardt algorithm allows for efficient and robust reconstruction of Gielis curves, including self-intersecting and asymmetric curves, without increasing the overall complexity of the algorithm. Then, we show how complex curves of k-type can be constructed and how solutions to the Dirichlet problem for the Laplace equation on these complex domains can be derived using a semi-Fourier method. In all three methods, descriptive and computational power and efficiency is obtained in a surprisingly simple way.
Littérature citée [50 références]
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-00736577
Contributeur : Yohan Fougerolle <>
Soumis le : vendredi 28 septembre 2012 - 18:03:07
Dernière modification le : lundi 30 mars 2020 - 08:55:32
Document(s) archivé(s) le : samedi 29 décembre 2012 - 06:40:30
Contributeur : Yohan Fougerolle <>
Soumis le : vendredi 28 septembre 2012 - 18:03:07
Dernière modification le : lundi 30 mars 2020 - 08:55:32
Document(s) archivé(s) le : samedi 29 décembre 2012 - 06:40:30
Fichier
journal.pone.0029324.pdf
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