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On the Behavior of the Total Variation in CWENO Methods for Conservation Laws
Hyperbolic conservation laws Central difference schemes High-order accuracy Non-oscillatory schemes CWENO reconstruction TVB
2015/10/8
We consider a family of high-order, weighted essentially non-oscillatory central schemes (CWENO) for approximating solutions of one-dimensional hyperbolic systems of conservation laws. We are interest...
An ADMM algorithm for a class of total variation regularized estimation problems
Signal processing algorithms stochastic parameters parameter estimation convex optimization and regularization
2015/8/7
We present an alternating augmented Lagrangian method for convex optimization problems where the cost function is the sum of two terms, one that is separable in the variable blocks, and a second that ...
New Multiscale Transforms, Minimum Total Variation Synthesis: Applications to Edge-Preserving Image Reconstruction
Ridgelets curvelets wavelets pseudo-polar FFT Slant Stack Radon transform trigonometric interpolation total-variation edges edge-preserving tomography/deconvolution thresholding
2015/6/17
This paper describes newly invented multiscale transforms known under the name of the ridgelet [6] and the curvelet transforms [9, 8]. These systems combine ideas of multiscale analysis and geometry. ...
Discontinuous Galerkin Method for Total Variation Minimization on one-dimensional Inpainting Problem
finite element method discontinuous Galerkin method total variation minimization inpainting
2011/9/15
Abstract: This paper is concerned with the numerical minimization of energy functionals in $BV(\Omega)$ (the space of bounded variation functions) involving total variation for gray-scale 1-dimensiona...
Total Variation Flow and Sign Fast Diffusion in one dimension
Fast Diffusion Total Variation Flow asymptotic extinction profile convergence rates extinction time
2011/9/1
Abstract: We consider the dynamics of the Total Variation Flow (TVF) $u_t=\div(Du/|Du|)$ and of the Sign Fast Diffusion Equation (SFDE) $u_t=\Delta\sign(u)$ in one spatial dimension. We find the expli...