A Folding Index of 2D Curves

Yi King Choi; Dongming Yan; Wenping Wang

doi:10.1080/16864360.2004.10738321

A Folding Index of 2D Curves

Yi King Choi, Dongming Yan, Wenping Wang

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A new index is proposed for describing the degree of folding of a planar curve segment. Based on a basic concept from integral geometry, the Curve Folding Index (CFI) of a curve segment is defined to be the expected number of intersections that a random line has with the curve. The CFI provides a simple measure to characterize planar curves in terms of the degree of folding, and is shown to be invariant under the similitude transformations. We show by experiments that the CFI conforms to the intuitive perception of folding complexity.

Original language	English (US)
Pages (from-to)	741-746
Number of pages	6
Journal	Computer-Aided Design and Applications
Volume	1
Issue number	1-4
DOIs	https://doi.org/10.1080/16864360.2004.10738321
State	Published - 2004
Externally published	Yes

Keywords

Curve folding
Curve matching
Integral geometry

ASJC Scopus subject areas

Computational Mechanics
Computer Graphics and Computer-Aided Design
Computational Mathematics

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10.1080/16864360.2004.10738321

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AB - A new index is proposed for describing the degree of folding of a planar curve segment. Based on a basic concept from integral geometry, the Curve Folding Index (CFI) of a curve segment is defined to be the expected number of intersections that a random line has with the curve. The CFI provides a simple measure to characterize planar curves in terms of the degree of folding, and is shown to be invariant under the similitude transformations. We show by experiments that the CFI conforms to the intuitive perception of folding complexity.

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KW - Integral geometry

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A Folding Index of 2D Curves

Abstract

Keywords

ASJC Scopus subject areas

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