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Linear segmentation of discrete curves into blurred segments

Authors: Debled-Rennesson, Isabelle; Rémy, Jean-Luc; Rouyer-Degli, Jocelyne;

Linear segmentation of discrete curves into blurred segments

Abstract

The concept of fuzzy segment is introduced, it allows the flexible segmentation of discrete curves, taking into account noise. Relying on an arithmetic definition of discrete lines [Réveilles 1991], it generalizes such lines, admitting that some points are missing. Thus, a larger class of objects is considered. A very efficient linear detection algorithm for fuzzy segments and its application to curve segmentation are presented.

Keywords

Applied Mathematics, Discrete line, Fuzzy Segment, Segmentation, Blurred segment, Computer graphics; computational geometry (digital and algorithmic aspects), Noisy curve, Discrete Mathematics and Combinatorics, [INFO.INFO-DL] Computer Science [cs]/Digital Libraries [cs.DL], Discrete Line, Noisy Curve

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Average
Average
hybrid