# Estimation of Tangents to a Noisy Discrete Curve

1 ADAGE - Applying discrete algorithms to genomics
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : A new notion of discrete tangent, called order d discrete tangent, adapted to noisy curves, is proposed. It is based on the definition of discrete tangents given by A. Vialard in 1996, on the definition of fuzzy segments and on the linear algorithm of fuzzy segments recognition. The algorithm calculating the order $d$ discrete tangent at a point of a curve relies on simple calculations and is linear according to the number of points of the obtained tangent. From the definition of an order $d$ discrete tangent, we deduced an estimation of the normal vector and of the curvature at a point of a discrete curve for a given order d.
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Communication dans un congrès
Latecki, Longin Jan and Mount, David M. and Wu, Angela Y. Vision Geometry XII, Electronic Imaging, 2004, San Jose, California, USA, 5300, pp.117-126, 2004, Proceedings of the SPIE
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https://hal.inria.fr/inria-00100037
Contributeur : Publications Loria <>
Soumis le : mardi 26 septembre 2006 - 10:13:37
Dernière modification le : jeudi 11 janvier 2018 - 06:19:48

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• HAL Id : inria-00100037, version 1

### Citation

Isabelle Debled-Rennesson. Estimation of Tangents to a Noisy Discrete Curve. Latecki, Longin Jan and Mount, David M. and Wu, Angela Y. Vision Geometry XII, Electronic Imaging, 2004, San Jose, California, USA, 5300, pp.117-126, 2004, Proceedings of the SPIE. 〈inria-00100037〉

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