Fundamentals of digital image processing
Fundamentals of digital image processing
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Digital Image Processing
Total Variation Wavelet Inpainting
Journal of Mathematical Imaging and Vision
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
An axiomatic approach to image interpolation
IEEE Transactions on Image Processing
The digital TV filter and nonlinear denoising
IEEE Transactions on Image Processing
Filling-in by joint interpolation of vector fields and gray levels
IEEE Transactions on Image Processing
Simultaneous structure and texture image inpainting
IEEE Transactions on Image Processing
Matting through variational inpainting
SIP '07 Proceedings of the Ninth IASTED International Conference on Signal and Image Processing
A fast implementation algorithm of TV inpainting model based on operator splitting method
Computers and Electrical Engineering
Towards Unrestrained Depth Inference with Coherent Occlusion Filling
International Journal of Computer Vision
An efficient framework for image/video inpainting
Image Communication
Analysis of Inpainting via Clustered Sparsity and Microlocal Analysis
Journal of Mathematical Imaging and Vision
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Image inpainting refers to restoring a damaged image with missing information. In recent years, there have been many developments on computational approaches to image inpainting problem [2, 4, 6, 9, 11---13, 27, 28]. While there are many effective algorithms available, there is still a lack of theoretical understanding on under what conditions these algorithms work well. In this paper, we take a step in this direction. We investigate an error bound for inpainting methods, by considering different image spaces such as smooth images, piecewise constant images and a particular kind of piecewise continuous images. Numerical results are presented to validate the theoretical error bounds.