Digital inpainting based on the Mumford–Shah–Euler image model
From MaRDI portal
Publication:4797275
DOI10.1017/S0956792502004904zbMath1017.94505OpenAlexW2131831293MaRDI QIDQ4797275
Publication date: 28 August 2003
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0956792502004904
Computing methodologies for image processing (68U10) Variational problems in a geometric measure-theoretic setting (49Q20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items
A Cahn-Hilliard system with a fidelity term for color image inpainting, A second-order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data, Unnamed Item, Local block operators and TV regularization based image inpainting, Finger vein segmentation from infrared images based on a modified separable Mumford Shah model and local entropy thresholding, A Fractional Inpainting Model Based on the Vector-Valued Cahn--Hilliard Equation, Existence, regularity and structure of confined elasticae, A Fast Relaxed Normal Two Split Method and an Effective Weighted TV Approach for Euler's Elastica Image Inpainting, Spatially adapted first and second order regularization for image reconstruction: from an image surface perspective, Total variation wavelet inpainting, Implementation of high-order variational models made easy for image processing, Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting, Mumford-Shah-TV functional with application in X-ray interior tomography, On a variational theory of image amodal completion, ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing, Image segmentation using Euler's elastica as the regularization, Applications of PDEs inpainting to magnetic particle imaging and corneal topography, A variational framework for exemplar-based image inpainting, A Ginzburg-Landau-\({H}^{-1}\) model and its SAV algorithm for image inpainting, Total roto-translational variation, Blind image inpainting with sparse directional filter dictionaries for lightweight CNNs, A survey on the Blake-Zisserman functional, Nonlocal Cahn-Hilliard type model for image inpainting, Existence of generalized minimizers and dual solutions for a class of variational problems with linear growth related to image recovery, Existence of minimizers of the Mumford-Shah functional with singular operators and unbounded data, Unnamed Item, Image inpainting with energies of linear growth. A collection of proposals, Domain decomposition methods for nonlocal total variation image restoration, High-order anisotropic diffusion operators in spaces of variable exponents and application to image inpainting and restoration problems, Fast algorithm for color texture image inpainting using the non-local CTV model, Fast image inpainting strategy based on the space-fractional modified Cahn-Hilliard equations, Denoising and inpainting of images using TV-type energies: theoretical and computational aspects, Removal of color scratches from old motion picture films exploiting human perception, Analysis of a hyperbolic-parabolic type system for image inpainting, Total variation with nonlocal FT-Laplacian for patch-based inpainting, Large gap imputation in remote sensed imagery of the environment, A Complex Version of the Cahn--Hilliard Equation for Grayscale Image Inpainting, Free gradient discontinuity and image inpainting, Parameter Estimation in Image Processing and Computer Vision, Image segmentation and inpainting using hierarchical level set and texture mapping, On the foundations of vision modeling. III: Noncommutative monoids of occlusive preimages, Iterative thresholding meets free-discontinuity problems, Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images, Sharp-interface limit of the Allen-Cahn action functional in one space dimension, $C^{1,\alpha }$-interior regularity for minimizers of a class of variational problems with linear growth related to image inpainting, Diffuse Interface Models on Graphs for Classification of High Dimensional Data, Fast image inpainting based on coherence transport, Nonlocal patches based Gaussian mixture model for image inpainting, Color image restoration and inpainting via multi-channel total curvature, An anisotropic PDE model for image inpainting, A multiscale fourth‐order model for the image inpainting and low‐dimensional sets recovery, Cahn--Hilliard Inpainting with the Double Obstacle Potential, An alternating direction method for mixed Gaussian plus impulse noise removal, A linear fourth-order PDE-based gray-scale image inpainting model, Image inpainting using sparse multiscale representations: image recovery performance guarantees, Texture Inpainting Using Efficient Gaussian Conditional Simulation, Analysis of iterative methods for solving a Ginzburg-Landau equation, Sparse Inpainting with Smoothed Particle Hydrodynamics, Unnamed Item, The Cauchy problem for a nonlinear elliptic equation: Nash-game approach and application to image inpainting