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Discrete Finite Variation: A New Measure Of Smoothness  (Make Corrections)  
For The Design Of Wavelet Basis J. E. Odegard C. S. Burrus Department of...



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Abstract: A new method for measuring and designing smooth wavelet basis which dispenses with the need for having a large number of zero moments of the wavelet is given. The method is based on minimizing the "discrete finite variation", and is a measure of the local "roughness" of a sampled version of the scaling function giving rise to "visually smooth" wavelet basis. Smooth wavelet basis are deemed to be important for several applications and in particularly for image compression where the goal is to... (Update)

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BibTeX entry:   (Update)

@misc{ design-discrete,
  author = "For The Design",
  title = "Discrete Finite Variation: A New Measure Of Smoothness",
  url = "citeseer.ist.psu.edu/767375.html" }
Citations (may not include all citations):
55   Simple regularity criteria for subdivision schemes - Rioul - 1992
44   On cosine-modulated wavelet orthonormal bases - Gopinath, Burrus - 1995
43   Lattice structures for optimal design and robust implementat.. (context) - Vaidyanathan, Hoang - 1988
20   Spectral theory of multiresolution operators and application.. - Heller, Wells - 1993
14   Lebesgue Integration on Euclidean Space (context) - Jones - 1993
6   Design of maximally smooth wavelets - Lang, Heller - 1996
1   Parameterization and implementation of orthonormal wavelet t.. (context) - Rieder, Gerganoff et al. - 1996

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