Digital inpainting based on the Mumford–Shah–Euler image model

Keywords

Inpainting, Image (mathematics), Euler's formula, Bounded function, Realization (probability)

References

• Morphologically invariant PDE inpaintingsTony F. Chan, Jianhong Shen — 2001
• The restorer's handbook of easel paintingGilberte Émile-Mâle — 1976
• A good image model eases restoration - on the contribution of Rudin-Osher-Fatmi's BV image modelTony F. Chan, Jianhong Shen — 2002
• The total squared curvature of closed curvesJoel Langer, David A. Singer — 1984
• Minimal surfaces and functions of bounded variationEnrico Giusti — 1977
• Filtering, Segmentation and DepthMark Nitzberg, David Mumford, Takahiro Shiota — 1993
• Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulationsStanley Osher, James A. Sethian — 1988
• Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of ImagesStuart Geman, Donald Geman — 1984
• Nonuniform Sampling and Reconstruction in Shift-Invariant SpacesAkram Aldroubi, Karlheinz Gröchenig — 2001
• An axiomatic approach to image interpolationV. Caselles, Jean‐Michel Morel, Catalina Sbert — 1997
• Visual reconstruction with discontinuities using variational methodsRiccardo March — 1992
• A variational method for the recovery of smooth boundariesRiccardo March, Marziano Dozio — 1997
• Scientific Computing and Differential Equations: An Introduction to Numerical MethodsG. Golub, J. Ortega — 1991
• Mathematical Models for Local Nontexture InpaintingsJianhong Shen, Tony F. Chan — 2002
• Introduction to applied mathematicsGilbert Strang, H. Saunders — 1988
• Error concealment technique using projection data for block-based image codingKyeong-Hoon Jung, Joonho Chang, ChoongWoong Lee — 1994
• Nontexture Inpainting by Curvature-Driven DiffusionsTony F. Chan, Jianhong Shen — 2001
• Euler's Elastica and Curvature-Based InpaintingJianhong Shen, Sung Ha Kang, Tony F. Chan — 2003
• A level set algorithm for minimizing the Mumford-Shah functional in image processingTony F. Chan, Luminita A. Vese — 2001
• Filling-in by joint interpolation of vector fields and gray levelsColoma Ballester, Marcelo Bertalmı́o, Vicent Caselles — 2001

Cited by

• Régularisation spatio-temporelle : applications au débruitage, à l'inpainting et à la classification. (Spatiotemporal regulation: applications to denoising, the inpainting and classification)M. Ghoniem — 2010
• Digital image processing techniques for the detection and removal of cracks in digitized paintingsYves Chemla — 2006
• Image Inpainting Considering Brightness Change and Spatial Locality of TexturesNorihiko Kawai, Tomokazu Sato, N. Yokoya — 2016
• Texture Enhanced Histogram Equalization Using TV- L^1 Image Decomposition雅子 藤崎 — 2013
• USING CSRBFS FOR SURFACE RETOUCHINGNikita Kojekine, В. В. Савченко — 2002
• Mathematical Approaches for Image Enhancement ProblemsD. Cho — 2012
• Computer aided puzzle assembly based on shape and texture informationMahmut Şamil Sağıroğlu — 2006
• On a Variational Problem Arising in Image ReconstructionLuigi Ambrosio, Simon Masnou — 2003
• The sharp-interface limit of the action functional for Allen-Cahn in one space dimensionRobert V. Kohn, Reznikoff Maria G, Yoshihiro Tonegawa — 2005
• Exemplar-Based Color Image Inpainting Using a Simple and Effective Gradient FunctionSai Hareesh Anamandra, Venkatachalam Chandrasekaran — 2010
• Numerical Analysis of the Mumford-Shah and Mumford-Shah-Euler Functionals for Sphere-Valued Functions, and applications to Numerical Image ProcessingJonas Haehnle — 2010
• MULTIGRID METHOD FOR A MODIFIED CURVATURE DRIVEN DIFFUSION MODEL FOR IMAGE INPAINTINGCarlos Brito‐Loeza, Ke Chen — 2008
• A Good Image Model Eases RestorationTony F. Chan, Jianhong Shen — 2002
• Incorporating Spatial Information into Density Estimates and Street Gang ModelsLaura M. Smith — 2012
• A Novel Color Image Inpainting Guided by Structural Similarity Index Measure and Improved Color Angular Radial TransformSai Hareesh Anamandra, Venkatachalam Chandrasekaran — 2010
• Interpolation of Three-Dimensional (3-D) Light Detection and Ranging (LiDAR) Point Cloud Data onto a Uniform Upsampled GridPrudhvi Gurram, Shuowen Hu, Alex Chan — 2013
• A good image model eases restoration - on the contribution of Rudin-Osher-Fatmi's BV image modelTony F. Chan, Jianhong Shen — 2002
• Novel higher order regularisation methods for image reconstructionKonstantinos Papafitsoros — 2015
• A Cahn–Hilliard System with a Fidelity Term for Color Image InpaintingLaurence Cherfils, Hussein Fakih, Alain Miranville — 2015
• Image inpainting with the complex Ginzburg-Landau equationSonoko Nakano — 2010

Related papers

• Novel Image Inpainting Based on Partial Differential EquationChao Yu-zhong — 2009
• A Survey on Digital Image InpaintingPeng Qi-cong — 2007
• Research on arithmetic of automatic inpainting for digital image in blind environmentWang Weia — 2010
• An Effective and Efficient Techniques of Image Inpainting: A ReviewPoonam A. Domadia, Pankaj Gautam — 2015
• Blind inpainting forgery detectionĐặng Thành Trung, Azeddine Beghdadi, Mohamed–Chaker Larabi — 2014