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WAVELET CHARACTERIZATION OF HARDY SPACE H1 AND ITS APPLICATION IN VARIATIONAL IMAGE DECOMPOSITION.
- Source :
- International Journal of Wavelets, Multiresolution & Information Processing; Jan2010, Vol. 8 Issue 1, p71-87, 17p, 8 Black and White Photographs
- Publication Year :
- 2010
-
Abstract
- In this paper, we examine the wavelet characterization of Hardy space H<superscript>1</superscript>, and show that the H<superscript>1</superscript>-norm is a good choice for modelizing the oscillating patterns. Furthermore, we give the discrete representation of H<superscript>1</superscript>-norm by using wavelet coefficients, and apply it to the variational image decomposition models. Finally, we give the iterative algorithm, and present various numerical results on images to demonstrate the potential of our methods. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02196913
- Volume :
- 8
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- International Journal of Wavelets, Multiresolution & Information Processing
- Publication Type :
- Academic Journal
- Accession number :
- 48282719
- Full Text :
- https://doi.org/10.1142/S0219691310003390