title: A width-invariant property of curves based on wavelet transform with a novel wavelet function.
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.
authors.affiliation: Dept. of Sci. Comput. & Comput. Application, Zhongshan Univ., Guangzhou, China.
authors.forename: Lihua
authors.initials: L
authors.lastname: Yang
authors.forename: C Y
authors.initials: CY
authors.lastname: Suen
authors.forename: Yuan Yan
authors.initials: YY
authors.lastname: Tang