An MRA approach to surface completion and image inpainting

DOI10.1016/j.acha.2008.05.001zbMath1189.68162OpenAlexW2071889813MaRDI QIDQ1006634

Charles K. Chui

Publication date: 25 March 2009

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2008.05.001

zbMATH Keywords

continuous function extensionMulti-Resolution Approximation (MRA)

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10)

Related Items

On surface completion and image inpainting by biharmonic functions: numerical aspects, MRA contextual-recovery extension of smooth functions on manifolds

Cites Work

• Unnamed Item
• Total variation wavelet inpainting
• Whitney's extension problem for \(C^m\)
• Higher-order tangents and Fefferman's paper on Whitney's extension problem
• The structure of linear extension operators for \(C^m\)
• Extension of smooth functions from finitely connected planar domains
• Filling polygonal holes using \(C^{1}\) cubic triangular spline patches
• Wavelet-based minimal-energy approach to image restoration
• A sharp form of Whitney's extension theorem
• \(C^1\) extensions of functions and stabilization of Glaeser refinements
• A framelet-based image inpainting algorithm
• Diffusion maps
• Some extension theorems for continuous functions
• Whitney’s extension problem for multivariate 𝐶^{1,𝜔}-functions
• Mathematical Models for Local Nontexture Inpaintings
• Two constructive embedding‐extension theorems with applications to continuity principles and to Banach‐Mazur computability
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
• Iterative Methods for Total Variation Denoising