Journal of Mathematical Imaging and Vision

, Volume 10, Issue 3, pp 221–235 | Cite as

Shape Representation Using Fourier Coefficients of the Sinusoidal Transform

  • Ian Pratt


This paper investigates the use of the sinusoidal transform to represent convex regions of the plane. Formulae are derived for the determination of various geometrical features and relations in terms of sinusoidal transforms and their Fourier descriptors. Necessary and sufficient conditions for a periodic function to be the sinusoidal transform of a convex region are derived. Sinusoidal Fourier descriptors are shown to compare favourably with other shape-representation schemes based on Fourier descriptors.

shape representation Fourier descriptors convex plane Hough transform 


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Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Ian Pratt
    • 1
  1. 1.Department of Computer ScienceUniversity of ManchesterManchesterUK.

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