Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Noise removal using smoothed normals and surface fitting
IEEE Transactions on Image Processing
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PDE-based(partial differential equations) image inpainting is an important research topic in the area of image restoration. Its objective is restore the lost information according to around image information in a way that looks natural for the eye. In this paper, guided by the anisotropic diffusion principle and the connectivity principle of human visual perception, we put forward a novel nonlinear PDE inpainting model. The procedure allows for the transporting and diffusing of image information simultaneously. That is, the approach here displayed permits the transportation of available information from the outside towards inside of the inpainting domain and the diffusion of the inside information in the inpainting domain at the same time. Both theoretical analysis and experiments have verified the validity of the method proposed in the paper.