An Upwind Finite-Difference Method for Total Variation–Based Image Smoothing
نویسندگان
چکیده
منابع مشابه
An Upwind Finite-Difference Method for Total Variation-Based Image Smoothing
In this paper we study finite-difference approximations to the variational problem using the BV smoothness penalty that was introduced in an image smoothing context by Rudin, Osher, and Fatemi. We give a dual formulation for an upwind finite-difference approximation for the BV seminorm; this formulation is in the same spirit as one popularized by the first author for a simpler, less isotropic, ...
متن کاملUpwind and Multiscale Finite-difference Methods for Total Variation–based Image Smoothing
In this paper we study finite-difference approximations to the variational problem using the BV smoothness penalty that was introduced in an image smoothing context by Rudin, Osher, and Fatemi. We give a dual formulation for an upwind finite-difference approximation for the BV seminorm; this formulation is in the same spirit as one popularized by the first author for a simpler, less isotropic, ...
متن کاملCompact finite-difference approximations for anisotropic image smoothing and painting
Finite-difference approximations are succinctly represented by their stencils, a set of weights that when applied to adjacent samples of a function approximate some differential operator. In image processing the samples are pixels or voxels, and the differential operators must be inverted for smoothing or painting applications. For efficiency in such applications requiring inverses, the finited...
متن کاملUpwind-difference Potentials Method for Chemotaxis Models
We consider here a recently developed upwind-difference potentials method for chemotaxis models [8]. The introduced scheme can be used to approximate problems in complex geometries. The chemotaxis model under consideration is described by a system of two nonlinear PDEs: a convection-diffusion equation for the cell density coupled with a reactiondiffusion equation for the chemoattractant concent...
متن کاملFinite difference method for solving partial integro-differential equations
In this paper, we have introduced a new method for solving a class of the partial integro-differential equation with the singular kernel by using the finite difference method. First, we employing an algorithm for solving the problem based on the Crank-Nicholson scheme with given conditions. Furthermore, we discrete the singular integral for solving of the problem. Also, the numerical results ob...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Imaging Sciences
سال: 2011
ISSN: 1936-4954
DOI: 10.1137/090752754