A Folding Index of 2D Curves

Yi King Choi, Dongming Yan, Wenping Wang

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 languageEnglish (US)
Pages (from-to)741-746
Number of pages6
JournalComputer-Aided Design and Applications
Issue number1-4
StatePublished - 2004
Externally publishedYes


  • Curve folding
  • Curve matching
  • Integral geometry

ASJC Scopus subject areas

  • Computational Mechanics
  • Computer Graphics and Computer-Aided Design
  • Computational Mathematics


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