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The 2D Curve Folding Index
Choi, Yi-King; Yan, Dong-Ming; Wang Wenping
Source PublicationComputer-Aided Design & Applications
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.
KeywordFolding Index
Document Type期刊论文
Recommended Citation
GB/T 7714
Choi, Yi-King,Yan, Dong-Ming,Wang Wenping. The 2D Curve Folding Index[J]. Computer-Aided Design & Applications,2004,1(1-4):741-749.
APA Choi, Yi-King,Yan, Dong-Ming,&Wang Wenping.(2004).The 2D Curve Folding Index.Computer-Aided Design & Applications,1(1-4),741-749.
MLA Choi, Yi-King,et al."The 2D Curve Folding Index".Computer-Aided Design & Applications 1.1-4(2004):741-749.
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