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A Decomposition and Denoising Model and Algorithm Based on PDE

Jinping Song

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Abstract

Through analysis shortcoming of the ROF(Rudin,Osher and Fatemi) model and LLT(Lysaker,Lundervold and Tai) model in denoising processing,and the difference between texture and noise,combining decomposition model,TV-norm and fourth-order PDE,the article proposes the DD(decomposition and denoising) model.When processing noise image,the new model decompose an noisy image into three parts,structure,texture and noise,and thas achieves denoising and decomposition. Further through the experiments,we testify rationality and validity of the DD model and the algorithm.

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What this paper is about

Through analysis shortcoming of the ROF(Rudin,Osher and Fatemi) model and LLT(Lysaker,Lundervold and Tai) model in denoising processing,and the difference between texture and noise,combining decomposition model,TV-norm and fourth-order PDE,the article proposes the DD(decomposition and denoising) model.When processing noise image,the new model decompose an noisy image into three parts,structure,texture and noise,and thas achieves denoising and decomposition. Further through the experiments,we testify rationality and validity of the DD model and the algorithm.

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Available abstract

Through analysis shortcoming of the ROF(Rudin,Osher and Fatemi) model and LLT(Lysaker,Lundervold and Tai) model in denoising processing,and the difference between texture and noise,combining decomposition model,TV-norm and fourth-order PDE,the article proposes the DD(decomposition and denoising) model.When processing noise image,the new model decompose an noisy image into three parts,structure,texture and noise,and thas achieves denoising and decomposition. Further through the experiments,we testify rationality and validity of the DD model and the algorithm.

Key concepts: Noise reduction, Image denoising, Decomposition, Norm (philosophy), Noise (video), Algorithm, Pattern recognition (psychology), Computer science

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