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Fourier Coding and Reconstruction of Complicated Contours

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2 Author(s)

Polygonal two-dimensional curves are coded by means of a finite number of their Fourier coefficients and then reconstructed by the corresponding Fourier sums. This mechanism is studied for an interesting class of contours whose members exhibit detail at a wide range of scales. Two bounds (one cheaply computed, one with high performance) are given on the number of Fourier coefficients needed to obtain a given accuracy in a reconstruction.

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Systems, Man and Cybernetics, IEEE Transactions on  (Volume:16 ,  Issue: 3 )