Error analysis for image inpainting

DOI10.1007/s10851-006-6865-7zbMath1478.94018OpenAlexW2017457812WikidataQ57397326 ScholiaQ57397326MaRDI QIDQ2384066

Sung Ha Kang, Tony F. Chan

Publication date: 20 September 2007

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-006-6865-7

zbMATH Keywords

error analysistotal variation minimizationimage restorationinpaintinginpainting domain

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (11)

Coefficient identification in PDEs applied to image inpainting ⋮ A second-order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data ⋮ Unnamed Item ⋮ Optimal filters from calibration data for image deconvolution with data acquisition error ⋮ Towards unrestrained depth inference with coherent occlusion filling ⋮ Manifold based low-rank regularization for image restoration and semi-supervised learning ⋮ Analysis of inpainting via clustered sparsity and microlocal analysis ⋮ Efficient alternating minimization methods for variational edge-weighted colorization models ⋮ Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Applications to Contour Lines, Sparse Data, and Inpainting ⋮ Theoretical foundation of the weighted Laplace inpainting problem. ⋮ A numerical algorithm for image sequence inpainting that preserves fine textures

Cites Work

• Are Natural Images of Bounded Variation?
• Mathematical Models for Local Nontexture Inpaintings
• Elliptic Partial Differential Equations of Second Order
• The digital TV filter and nonlinear denoising
• Filling-in by joint interpolation of vector fields and gray levels
• An axiomatic approach to image interpolation
• Euler's Elastica and Curvature-Based Inpainting
• Image Processing and Analysis
• Mathematical problems in image processing. Partial differential equations and the calculus of variations. Foreword by Olivier Faugeras
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