I.: On a polynomial vector field model for shape representation: mathematical foundation

I.: On a polynomial vector field model for shape representation: mathematical foundation

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[jerome.berbiqui.org]

by Mickael Chekroun , Jérôme Darbon , Igor Ciril

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Datum	Value	Source
TITLE	I.: On a polynomial vector field model for shape representation: mathematical foundation	INFERENCE
AUTHOR NAME	Mickael Chekroun	SVM HeaderParse 0.2
AUTHOR AFFIL	1 Institut Polytechnique des Sciences Avancées; 24 rue Pasteur F-94270, Le Kremlin Bicêtre, France.; 2 EPITA Research and Development Laboratory (LRDE)	SVM HeaderParse 0.2
AUTHOR ADDR	14-16 rue Voltaire F-94276 Le Kremlin-Bicêtre, France	SVM HeaderParse 0.2
AUTHOR NAME	Jérôme Darbon	SVM HeaderParse 0.2
AUTHOR AFFIL	1 Institut Polytechnique des Sciences Avancées; 24 rue Pasteur F-94270, Le Kremlin Bicêtre, France.; 2 EPITA Research and Development Laboratory (LRDE)	SVM HeaderParse 0.2
AUTHOR ADDR	14-16 rue Voltaire F-94276 Le Kremlin-Bicêtre, France	SVM HeaderParse 0.2
AUTHOR NAME	Igor Ciril	SVM HeaderParse 0.2
AUTHOR AFFIL	1 Institut Polytechnique des Sciences Avancées; 24 rue Pasteur F-94270, Le Kremlin Bicêtre, France.; 2 EPITA Research and Development Laboratory (LRDE)	SVM HeaderParse 0.2
AUTHOR ADDR	14-16 rue Voltaire F-94276 Le Kremlin-Bicêtre, France	SVM HeaderParse 0.2
ABSTRACT	Abstract. In this paper we propose an efficient algorithm to perform a polynomial approximation of the vector field derived from the usual distance mapping method. The main ingredients consist of minimizing a quadratic functional and transforming this problem in an appropriate setting for implementation. With this approach, we reduce the problem of obtaining an approximating polynomial vector field to the resolution of a not expansive linear algebraic system. By this procedure, we obtain an analytical shape representation that relies only on some coefficients. Fidelity and numerical efficiency of our approach are presented on illustrative examples. 1	SVM HeaderParse 0.2
VENUE	In preparation	INFERENCE
VENUE TYPE	CONFERENCE	INFERENCE
CITATIONS	16 found	ParsCit 1.0