Abstract
Soft wavelet shrinkage and total variation (TV) denoising are two frequently used techniques for denoising signals and images, while preserving their discontinuities. In this paper we show that — under specific circumstances — both methods are equivalent. First we prove that 1-D Haar wavelet shrinkage on a single scale is equivalent to a single step of TV diffusion or regularisation of two-pixel pairs. Afterwards we show that wavelet shrinkage on multiple scales can be regarded as a single step diffusion filtering or regularisation of the Laplacian pyramid of the signal.
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© 2002 Springer-Verlag Berlin Heidelberg
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Steidl, G., Weickert, J. (2002). Relations between Soft Wavelet Shrinkage and Total Variation Denoising. In: Van Gool, L. (eds) Pattern Recognition. DAGM 2002. Lecture Notes in Computer Science, vol 2449. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45783-6_25
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DOI: https://doi.org/10.1007/3-540-45783-6_25
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