ORTHOGONAL-DIRECTIONAL FORWARD DIFFUSION IMAGE INPAINTING AND DENOISING MODEL  

作　　者：Wu Jiying Ruan Qiuqi An Gaoyun 

机构地区：[1]Institute of Information Science, Beijing Jiaotong University, Beijing 100044, China

出　　处：《Journal of Electronics(China)》2008年第5期622-628,共7页电子科学学刊（英文版）

基　　金：the National Natural Science Foundation of China(No.60472033, No.60672062);the National Grand Fundamental Research 973 Program of China(No. 2004CB318005);the Technological Innovation Fund of Excellent Doctorial Candidate of Beijing Jiaotong University(No.48026)

摘　　要：In this paper,an orthogonal-directional forward diffusion Partial Differential Equation(PDE) image inpainting and denoising model which processes image based on variation problem is proposed.The novel model restores the damaged information and smoothes the noise in image si-multaneously.The model is morphological invariant which processes image based on the geometrical property.The regularization item of it diffuses along and cross the isophote,and then the known image information is transported into the target region through two orthogonal directions.The cross isophote diffusion part is the TV(Total Variation) equation and the along isophote diffusion part is the inviscid Helmholtz vorticity equation.The equivalence between the Helmholtz equation and the inpainting PDEs is proved.The model with the fidelity item which is used in the whole image domain denoises while preserving edges.So the novel model could inpaint and denoise simultaneously.Both theoretical analysis and experiments have verified the validity of the novel model proposed in this paper.In this paper, an orthogonal-directional forward diffusion Partial Differential Equation （PDE） image inpainting and denoising model which processes image based on variation problem is proposed. The novel model restores the damaged information and smoothes the noise in image simultaneously. The model is morphological invariant which processes image based on the geometrical property. The regularization item of it diffuses along and cross the isophote, and then the known image information is transported into the target region through two orthogonal directions. The cross isophote diffusion part is the TV （Total Variation） equation and the along isophote diffusion part is the inviscid Helmholtz vorticity equation. The equivalence between the Helmholtz equation and the inpainting PDEs is proved. The model with the fidelity item which is used in the whole image domain denoises while preserving edges. So the novel model could inpaint and denoise simultaneously. Both theoretical analysis and experiments have verified the validity of the novel model proposed in this paper.

关 键 词：Image inpainting Image denoising Partial Differential Equations （PDEs） Orthogonal-directional forward diffusion 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]