Energy functional regularization model is an active research field in image restoration. To draw more attention from researchers of engineering community

and to push forward the research of the ill-posed problem

the paper provides a comprehensive analysis of recent development on regularization model of image restoration. Firstly

the relationship between total coordinate and local coordinate of image is established

and the principle of regularization term of image restoration is analyzed

and the isotropic and anisotropic diffusion theorems of regularization model are given. Secondly

based on functional space

image decomposition and tight frame

the disadvantages and advantages of the regularization models are analyzed

and the state of the art Methods are reviewed. Furthermore

the well-posed properties of solution of regularization model are analyzed. The basic diffusion principles of image restoration regularization model are deduced

the general formulas of regularization model are given

the potential problems and future development trends are discussed. Regularization technology plays a key role in opposite problem research

such as image restoration and inpainting

currently

though some excellent Results have been reported

many theory challenges still need to be investigated.