Digital total variation filtering as postprocessing for radial basis function approximation methods

DOI10.1016/j.camwa.2006.02.013zbMath1125.65016OpenAlexW2004806855MaRDI QIDQ2458530

Scott A. Sarra

Publication date: 1 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.02.013

zbMATH Keywords

numerical examplesimage processingradial basis functionspostprocessingscattered datameshfreeGibbs phenomenadigital total variation filtering

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Algorithms for approximation of functions (65D15)

Related Items (6)

Jumping with variably scaled discontinuous kernels (VSDKs) ⋮ Edge detection free postprocessing for pseudospectral approximations ⋮ Shape-Driven Interpolation With Discontinuous Kernels: Error Analysis, Edge Extraction, and Applications in Magnetic Particle Imaging ⋮ Gibbs phenomenon removal by adding Heaviside functions ⋮ Gibbs phenomenon for Fourier partial sums on \(\mathbb{Z}_p\) ⋮ Mapped polynomials and discontinuous kernels for Runge and Gibbs phenomena

Uses Software

• SSPS

Cites Work

• Nonlinear total variation based noise removal algorithms
• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• An efficient numerical scheme for Burger equation
• Interpolation in the limit of increasingly flat radial basis functions
• From continuous recovery to discrete filtering in numerical approximations of conservation laws
• Adaptive radial basis function methods for time dependent partial differential equations
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Digital total variation filtering as postprocessing for Chebyshev pseudospectral methods for conservation laws
• The digital TV filter and nonlinear denoising
• Discrete filtering of numerical solutions to hyperbolic conservation laws
• The spectral signal processing suite
• Spectral methods for hyperbolic problems
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