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Multiscale Image Representation and Texture Extraction Using Hierarchical Variational Decomposition
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-05
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In order to achieve a mutiscale representation and texture extraction for textured image, a hierarchical (BV,Gp,L2) decomposition model is proposed in this paper.
We firstly introduce the proposed model which is obtained by replacing the fixed scale parameter of the original (BV,Gp,L2) decomposition with a varying sequence.
And then, the existence and convergence of the hierarchical decomposition are proved.
Furthermore, we show the nontrivial property of this hierarchical decomposition.
Finally, we introduce a simple numerical method for the hierarchical decomposition, which utilizes gradient decent for energy minimization and finite difference for the associated gradient flow equations.
Numerical results show that the proposed hierarchical (BV,Gp,L2) decomposition is very appropriate for multiscale representation and texture extraction of textured image.
American Psychological Association (APA)
Tang, Liming& He, Chuanjiang. 2013. Multiscale Image Representation and Texture Extraction Using Hierarchical Variational Decomposition. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-446932
Modern Language Association (MLA)
Tang, Liming& He, Chuanjiang. Multiscale Image Representation and Texture Extraction Using Hierarchical Variational Decomposition. Journal of Applied Mathematics No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-446932
American Medical Association (AMA)
Tang, Liming& He, Chuanjiang. Multiscale Image Representation and Texture Extraction Using Hierarchical Variational Decomposition. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-446932
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-446932