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