A width-invariant property of curves based on wavelet transform with a novel wavelet function

Lihua Yang*, C. Y. Suen, Yuan Yan Tang

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

13 Citations (Scopus)

Abstract

This paper is an improvement on the characterization of edges. Using a novel wavelet function, it is proven that the maximum moduli of the wavelet transform (MMWT) of a curve produces two new symmetrical curves on both sides of the original with the same direction. The distance between the two curves is shown to be independent of the width d of the original curve if the scale s of the wavelet transform satisfies s/spl ges/d. This property provides a novel method of obtaining the skeletons of the curves in an image.

Original languageEnglish
Pages (from-to)541-548
Number of pages8
JournalIEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Volume33
Issue number3
DOIs
Publication statusPublished - Jun 2003
Externally publishedYes

Scopus Subject Areas

  • Control and Systems Engineering
  • Software
  • Information Systems
  • Human-Computer Interaction
  • Computer Science Applications
  • Electrical and Electronic Engineering

User-Defined Keywords

  • Curve
  • Edge detection
  • Maximum moduli
  • Wavelet transform
  • Width-invariance

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