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Book Chapter

Patterns in Discretized Parabolas and Length Estimation

Book Series	Lecture Notes in Computer Science
Publisher	Springer Berlin / Heidelberg
ISSN	0302-9743 (Print) 1611-3349 (Online)
Volume	Volume 5810/2009
Book	Discrete Geometry for Computer Imagery
DOI	10.1007/978-3-642-04397-0
Copyright	2009
ISBN	978-3-642-04396-3
DOI	10.1007/978-3-642-04397-0_32
Pages	373-384
Subject Collection	Computer Science
SpringerLink Date	Saturday, September 19, 2009

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Patterns in Discretized Parabolas and Length Estimation

Alain Daurat¹⁸, Mohamed Tajine¹⁸ and Mahdi Zouaoui¹⁸

(18)	LSIIT CNRS UMR 7005, Université de Strasbourg, Pôle API, Boulevard Sébastien Brant, 67400 Illkirch-Graffenstaden, France

Abstract

We estimate the frequency of the patterns in the discretization of parabolas, when the resolution tends to zero. We deduce that local estimators of length almost never converge to the length for the parabolas.

Keywords Digital Curve - Pattern - Multigrid Convergence