Shape representation using Fourier coefficients of the sinusoidal transform

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    Abstract

    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.
    Original languageEnglish
    Pages (from-to)221-235
    Number of pages14
    JournalJournal of Mathematical Imaging and Vision
    Volume10
    Issue number3
    DOIs
    Publication statusPublished - 1999

    Keywords

    • shape representation
    • Fourier descriptors
    • convex
    • plane
    • Hough transform

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