论文信息 - A Framelet-Based Approach for Image Inpainting

A Framelet-Based Approach for Image Inpainting

In this paper, we present an image inpainting algorithm based on framelet analysis. The motivation for using framelets is that the redundancy provided by the framelets makes it possible to propagate the accurate information from the vicinity of the region to be inpainted to the inside of the region to be inpainted. This is done by small perturbations of the framelet coefficients via thresholding operators. Experimental results show that our proposed algorithm is fast and effective. Index Terms -Image inpainting, framelets

R. Chan | Zuowei Shen | Lixin Shen

[1] I. Daubechies. Orthonormal bases of compactly supported wavelets , 1988 .

[2] I. Daubechies. Ten Lectures on Wavelets , 1992 .

[3] I. Johnstone,et al. Ideal spatial adaptation by wavelet shrinkage , 1994 .

[4] A. Ron,et al. Frames and Stable Bases for Shift-Invariant Subspaces of L2(ℝd) , 1995, Canadian Journal of Mathematics.

[5] D. Donoho,et al. Translation-Invariant De-Noising , 1995 .

[6] Zuowei Shen. Affine systems in L 2 ( IR d ) : the analysis of the analysis operator , 1995 .

[7] A. Ron,et al. Affine Systems inL2(Rd): The Analysis of the Analysis Operator , 1997 .

[8] Jean-Michel Morel,et al. Level lines based disocclusion , 1998, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269).

[9] Paulo J. S. G. Ferreira,et al. Mathematics for Multimedia Signal Processing II: Discrete Finite Frames and Signal Reconstruction , 1999 .

[10] Guillermo Sapiro,et al. Image inpainting , 2000, SIGGRAPH.

[11] Non-texture inpainting by curvature-driven diffusions (CDD) , 2001 .

[12] Tony F. Chan,et al. Mathematical Models for Local Nontexture Inpaintings , 2002, SIAM J. Appl. Math..

[13] I. Daubechies,et al. Framelets: MRA-based constructions of wavelet frames☆☆☆ , 2003 .

[14] Tony F. Chan,et al. Euler's Elastica and Curvature-Based Inpainting , 2003, SIAM J. Appl. Math..

[15] R. Gribonval,et al. Bi-framelet systems with few vanishing moments characterize Besov spaces , 2004 .