Iterative adaptive RBF methods for detection of edges in two-dimensional functions

DOI10.1016/j.apnum.2010.08.006zbMath1202.65019OpenAlexW1973871345MaRDI QIDQ610783

Sigal Gottlieb, Saeja Oh Kim, Jae-Hun Jung

Publication date: 10 December 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2010.08.006

zbMATH Keywords

adaptive methodsGibbs phenomenonradial basis function methodstwo-dimensional edge detection

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15)

Related Items (11)

Fast iterative adaptive multi-quadric radial basis function method for edges detection of piecewise functions. I: Uniform mesh ⋮ Hybrid Compact-WENO Finite Difference Scheme with Radial Basis Function Based Shock Detection Method for Hyperbolic Conservation Laws ⋮ Jumping with variably scaled discontinuous kernels (VSDKs) ⋮ Shape-Driven Interpolation With Discontinuous Kernels: Error Analysis, Edge Extraction, and Applications in Magnetic Particle Imaging ⋮ A fault detection method based on partition of unity and kernel approximation ⋮ Mesh free alternate directional implicit method based three dimensional super-diffusive model for benign brain tumor segmentation ⋮ Edge detection methods based on RBF interpolation ⋮ Hypothesis testing for Fourier based edge detection methods ⋮ CS-RBF interpolation of surfaces with vertical faults from scattered data ⋮ Hybrid Compact-WENO Finite Difference Scheme with Conjugate Fourier Shock Detection Algorithm for Hyperbolic Conservation Laws ⋮ WLS-ENO remap: superconvergent and non-oscillatory weighted least squares data transfer on surfaces

Cites Work

• A numerical study of some radial basis function based solution methods for elliptic PDEs
• A note on the Gibbs phenomenon with multiquadric radial basis functions
• An iterative adaptive multiquadric radial basis function method for the detection of local jump discontinuities
• Improved accuracy of multiquadric interpolation using variable shape parameters
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Overlapping domain decomposition method by radial basis functions
• Adaptive residual subsampling methods for radial basis function interpolation and collocation problems
• Detection of Edges in Spectral Data II. Nonlinear Enhancement
• Spectral convergence of multiquadric interpolation
• Radial Basis Functions

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