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Conference papers

Optimal blurred segments decomposition in linear time

Isabelle Debled-Rennesson 1 Fabien Feschet 2 Jocelyne Rouyer-Degli 1
1 ADAGE - Applying discrete algorithms to genomics
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
2 LLAIC1 - Laboratoire de Logique, Algorithmique et Informatique
Abstract : Blurred (previously named fuzzy) segments were introduced by Debled-Rennesson et al as an extension of the arithmetical approach of Reveillès on discrete lines, to take into account noise in digital images. An incremental linear-time algorithm was presented to decompose a discrete curve into blurred segments with order bounded by a parameter $d$. However, that algorithm fails to segment discrete curves into a minimal number of blurred segments. We show in this paper, that this characteristic is intrinsic to the whole class of blurred segments. We thus introduce a subclass of blurred segments, based on a geometric measure of thickness. We provide a new convex hull based incremental linear time algorithm for segmenting discrete curves into a minimal number of thin blurred segments.
keyword : segmentation blurred segment discrete line
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Conference papers
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https://hal.inria.fr/inria-00000112
Contributor : Isabelle Debled-Rennesson Connect in order to contact the contributor
Submitted on : Monday, June 13, 2005 - 4:09:13 PM
Last modification on : Friday, February 4, 2022 - 3:30:24 AM

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  • HAL Id : inria-00000112, version 1

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INRIA | CNRS | PRES_CLERMONT | LORIA | UNIV-LORRAINE | INRIA2

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Isabelle Debled-Rennesson, Fabien Feschet, Jocelyne Rouyer-Degli. Optimal blurred segments decomposition in linear time. 12th International Conference on Discrete Geometry for Computer Imagery - DGCI 2005, Eric Andres, Guillaume Damiand, Pascal Lienhardt, Apr 2005, Poitiers, France, pp.371-382. ⟨inria-00000112⟩

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