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Fourier Encoding of Closed Planar Boundaries
January 1985 (vol. 7 no. 1)
pp. 98-102
G. Stephen Zabele, Department of Electrical and Computer Engineering, Clarkson University, Potsdam, NY 13676.
Jack Koplowitz, Department of Electrical and Computer Engineering, Clarkson University, Potsdam, NY 13676.
A circular Gaussian autoregressive (CGAR) source is used as a model for closed planar curves. A class of suboptimal encoding schemes is considered which separately quantize the Fourier coefficients of the boundary. Application of rate-distortion theoretic techniques leads to parametric equations describing the optimal encoding bound. Interpretation of these equations establishes a sampling criterion and a computationally efficient transform encoding scheme for the suboptimal class. Several variants of this transform encoding scheme are suggested and compared to the encoding bound.
Citation:
G. Stephen Zabele, Jack Koplowitz, "Fourier Encoding of Closed Planar Boundaries," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 7, no. 1, pp. 98-102, Jan. 1985, doi:10.1109/TPAMI.1985.4767623
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