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

@article{Yang2003AWP,
  title={A width-invariant property of curves based on wavelet transform with a novel wavelet function},
  author={Lihua Yang and Ching Y. Suen and Yuan Yan Tang},
  journal={IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics : a publication of the IEEE Systems, Man, and Cybernetics Society},
  year={2003},
  volume={33 3},
  pages={541-8}
}
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… CONTINUE READING

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