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

Lihua Yang; C. Y. Suen; Yuan Yan Tang

doi:10.1109/TSMCB.2003.810949

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 journal › Journal article › peer-review

14 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 language	English
Pages (from-to)	541-548
Number of pages	8
Journal	IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Volume	33
Issue number	3
DOIs	https://doi.org/10.1109/TSMCB.2003.810949
Publication status	Published - Jun 2003

User-Defined Keywords

Curve
Edge detection
Maximum moduli
Wavelet transform
Width-invariance

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10.1109/TSMCB.2003.810949

Cite this

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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.",

keywords = "Curve, Edge detection, Maximum moduli, Wavelet transform, Width-invariance",

author = "Lihua Yang and Suen, {C. Y.} and Tang, {Yuan Yan}",

note = "Funding Information: Manuscript received May 28, 2000. This work was supported by the Foundation for University Key Teacher by the Ministry of Education of China, GPNSC (990227), NSFC (19871095), research grants received from RGC of Hong Kong and FRG Hong Kong Baptist University, as well as the Croucher Foundation. This paper was recommended by Associate Editor P. K. Willet.",

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N1 - Funding Information: Manuscript received May 28, 2000. This work was supported by the Foundation for University Key Teacher by the Ministry of Education of China, GPNSC (990227), NSFC (19871095), research grants received from RGC of Hong Kong and FRG Hong Kong Baptist University, as well as the Croucher Foundation. This paper was recommended by Associate Editor P. K. Willet.

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N2 - 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.

AB - 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.

KW - Curve

KW - Edge detection

KW - Maximum moduli

KW - Wavelet transform

KW - Width-invariance

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DO - 10.1109/TSMCB.2003.810949

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SN - 1083-4419

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JO - IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

JF - IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

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

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