A Decomposition and Noise Removal Method Combining Diffusion Equation and Wave Atoms for Textured Images | Zendy

Wallace Casaca | Zendy; Maurílio Boaventura | Zendy

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A Decomposition and Noise Removal Method Combining Diffusion Equation and Wave Atoms for Textured Images

Author(s) -

Wallace Casaca,

Maurílio Boaventura

Publication year - 2010

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2010/764639

Subject(s) - weighting , noise reduction , texture (cosmology) , anisotropic diffusion , partial differential equation , noise (video) , image (mathematics) , nonlinear system , algorithm , diffusion equation , diffusion , mathematics , image denoising , computer science , artificial intelligence , mathematical analysis , physics , acoustics , engineering , metric (unit) , operations management , quantum mechanics , thermodynamics

We propose a new method that is aimed at denoising images having textures. The methodcombines a balanced nonlinear partial differential equation driven by optimal parameters, mathematical morphologyoperators, weighting techniques, and some recent works in harmonic analysis. Furthermore, the new schemedecomposes the observed image into three components that are well defined as structure/cartoon, texture, andnoise-background. Experimental results are provided to show the improved performance of our method for thetexture-preserving denoising problem

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