A BILATERAL IMAGE INPAINTING

In this paper a new image inpainting scheme using bilateral filters is proposed. Since in the digital image inpainting pixels’ values in a damaged region are unknown and are needed in calculation of weights according to the range filter of bilateral filters, in the proposed scheme we substitute the difference between two gray level values in the range filter by multiplication of two vectors: direction between two pixels and gradient direction of known pixel in the neighborhood of damaged pixels. The algorithm is iterative, fast and simple to implement. In addition, to achieve a better performance, the number of iterations is adaptively determined according to the region type (structural or textural) using the local variance. To evaluate the performance of the proposed method, several comparative experiments are performed. Experimental results confirm the effectiveness of the proposed algorithm. Keywords– Image inpainting, image interpolating, image reconstruction, bilateral filtering

[1]  Jean-Michel Morel,et al.  Image denoising by non-local averaging , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[2]  Ron Kimmel,et al.  A Short- Time Beltrami Kernel for Smoothing Images and Manifolds , 2007, IEEE Transactions on Image Processing.

[3]  Tony F. Chan,et al.  The digital TV filter and nonlinear denoising , 2001, IEEE Trans. Image Process..

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

[5]  F Torkamani Azar IMAGE RECOVERY USING DIFFU SION EQUATION EMBEDDED NEURAL NETWORK , 2001 .

[6]  Guillermo Sapiro,et al.  Simultaneous structure and texture image inpainting , 2003, IEEE Trans. Image Process..

[7]  R. Takei,et al.  Image Inpainting with the Navier-Stokes Equations , 2005 .

[8]  Danny Barash,et al.  A Fundamental Relationship between Bilateral Filtering, Adaptive Smoothing, and the Nonlinear Diffusion Equation , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Haomin Zhou,et al.  A total variation wavelet inpainting model with multilevel fitting parameters , 2006, SPIE Optics + Photonics.

[10]  Guillermo Sapiro,et al.  Filling-in by joint interpolation of vector fields and gray levels , 2001, IEEE Trans. Image Process..

[11]  Xue-Cheng Tai,et al.  Image Inpainting Using a TV-Stokes Equation , 2007 .

[12]  Tony F. Chan,et al.  Non-texture inpainting by curvature-driven diffusions (CDD) , 2001 .

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

[14]  Manuel Menezes de Oliveira Neto,et al.  Fast Digital Image Inpainting , 2001, VIIP.

[15]  Mohiy M. Hadhoud,et al.  Digital images inpainting using modified convolution based method , 2009, Defense + Commercial Sensing.

[16]  Harald Grossauer,et al.  A Combined PDE and Texture Synthesis Approach to Inpainting , 2004, ECCV.

[17]  Li Li,et al.  Nonlocal Curvature-Driven Diffusion Model for Image Inpainting , 2009, 2009 Fifth International Conference on Information Assurance and Security.

[18]  Alexander Wong,et al.  A nonlocal-means approach to exemplar-based inpainting , 2008, 2008 15th IEEE International Conference on Image Processing.

[19]  Roberto Manduchi,et al.  Bilateral filtering for gray and color images , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

[20]  Alexandru Telea,et al.  An Image Inpainting Technique Based on the Fast Marching Method , 2004, J. Graphics, GPU, & Game Tools.

[21]  Alexei A. Efros,et al.  Image quilting for texture synthesis and transfer , 2001, SIGGRAPH.

[22]  Joachim Weickert,et al.  Coherence-Enhancing Shock Filters , 2003, DAGM-Symposium.

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

[24]  Sung Yong Shin,et al.  On pixel-based texture synthesis by non-parametric sampling , 2006, Comput. Graph..

[25]  Patrick Pérez,et al.  Object removal by exemplar-based inpainting , 2003, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings..

[26]  Jianwei Yin,et al.  A Variational Approach to Medical Image Inpainting Based on Mumford-Shah Model , 2007, 2007 International Conference on Service Systems and Service Management.

[27]  Folkmar Bornemann,et al.  Fast Image Inpainting Based on Coherence Transport , 2007, Journal of Mathematical Imaging and Vision.