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Wavelet-domain Approximation and Compression of Piecewise Smooth Images

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Title: Wavelet-domain Approximation and Compression of Piecewise Smooth Images
Author: Wakin, Michael; Romberg, Justin; Choi, Hyeokho; Baraniuk, Richard G.
Type: Journal Paper
Keywords: Image compression; nonlinear approximation; wavelets; wedgelets; edges; wedgeprints
Citation: M. Wakin, J. Romberg, H. Choi and R. G. Baraniuk, "Wavelet-domain Approximation and Compression of Piecewise Smooth Images," IEEE Transactions on Image Processing, 2005.
Abstract: The wavelet transform provides a sparse representation for smooth images, enabling efficient approximation and compression using techniques such as zerotrees. Unfortunately, this sparsity does not extend to piecewise smooth images, where edge discontinuities separating smooth regions persist along smooth contours. This lack of sparsity hampers the efficiency of wavelet-based approximation and compression. On the class of images containing smooth C² regions separated by edges along smooth C² contours, for example, the asymptotic rate-distortion (R-D) performance of zerotree-based wavelet coding is limited to D(R) ~ 1/R, well below the optimal rate of 1/R².

Date Published: 2005-01-15

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  • ECE Publications [1046 items]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students
  • DSP Publications [508 items]
    Publications by Rice Faculty and graduate students in digital signal processing.