Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
An efficient numerical scheme for Burgers' equation
Applied Mathematics and Computation
Spectral methods for hyperbolic problems
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. VII: partial differential equations
From continuous recovery to discrete filtering in numerical approximations of conservation laws
Applied Numerical Mathematics
The spectral signal processing suite
ACM Transactions on Mathematical Software (TOMS)
Radial Basis Functions
Adaptive radial basis function methods for time dependent partial differential equations
Applied Numerical Mathematics
The digital TV filter and nonlinear denoising
IEEE Transactions on Image Processing
Edge Detection Free Postprocessing for Pseudospectral Approximations
Journal of Scientific Computing
Algorithm 899: The Matlab postprocessing toolkit
ACM Transactions on Mathematical Software (TOMS)
Gibbs phenomenon removal by adding Heaviside functions
Advances in Computational Mathematics
Hi-index | 0.09 |
Digital total variation (DTV) filtering techniques, that originated in the field of image processing, are adapted to postprocess radial basis function approximations of piecewise continuous functions. Through numerical examples, we show that DTV filtering is a fast, robust, postprocessing method that can be used to remove Gibbs oscillations while sharply resolving discontinuities. The method is applicable for arbitrarily located data points. A postprocessing method for scattered data had not been given previously.