Characterization of Dirac Edge with New Wavelet Transform

  • Lihua Yang
  • Xinge You
  • Robert M. Haralick
  • Ihsin T. Phillips
  • Yuan Y. Tang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2251)


This paper aims at studying the characterization of Diracstructure edges with a novel wavelet transform, and selecting the suitable wavelet functions to detect them. Three significant characteristics of the local maximum modulus of the wavelet transform with respect to the Dirac-structure edges are presented. By utilizing a novel continuous wavelet, it is proven that the local maxima modulus of such continuous wavelet transform of a Dirac-structure edge forms two new curves which are located symmetrically at the two sides of the original one and have the same direction with it and the distance between the two curves is estimated. An algorithm to detect curves in an image by utilizing the above invariants is developed. Several experiments are conducted, and positive results are obtained.


Original Image Central Line Wavelet Transform Wavelet Function Continuous Wavelet 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Lihua Yang
    • 1
  • Xinge You
    • 2
  • Robert M. Haralick
    • 3
  • Ihsin T. Phillips
    • 4
  • Yuan Y. Tang
    • 2
  1. 1.Department of MathematicsZhongshan UniversityGuangzhouP. R. China
  2. 2.Department of Computer ScienceHong Kong Baptist UniversityKowloon TongHong Kong
  3. 3.Department of Computer Science, Graduate CenterCity University of New YorkNew YorkUSA
  4. 4.Department of Computer Science, Queens CollegeCity University of New YorkFlushingUSA

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