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

Authors:
Lihua Yang;C. Y. Suen;Yuan Yan Tang
Affiliations:
Dept. of Sci. Comput. & Comput. Application, Zhongshan Univ., Guangzhou, China;-;-
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Year:
2003

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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≥d. This property provides a novel method of obtaining the skeletons of the curves in an image.