Mimetic finite difference methods in image processing
نویسندگان
چکیده
منابع مشابه
Mimetic finite difference methods in image processing
We introduce the use of mimetic methods to the imaging community, for the solution of the initial-value problems ubiquitous in the machine vision and image processing and analysis fields. PDE-based image processing and analysis techniques comprise a host of applications such as noise removal and restoration, deblurring and enhancement, segmentation, edge detection, inpainting, registration, mot...
متن کاملLocal flux mimetic finite difference methods
We develop a local flux mimetic finite difference method for second order elliptic equations with full tensor coefficients on polyhedral meshes. To approximate the velocity (vector variable), the method uses two degrees of freedom per element edge in two dimensions and n degrees of freedom per n-gonal mesh face in three dimensions. To approximate the pressure (scalar variable), the method uses ...
متن کاملMimetic finite difference methods for diffusion equations ∗
This paper reviews and extends the theory and application of mimetic finite difference methods for the solution of diffusion problems in strongly heterogeneous anisotropic materials. These difference operators satisfy the fundamental identities, conservation laws and theorems of vector and tensor calculus on nonorthogonal, nonsmooth, structured and unstructured computational grids. We provide e...
متن کاملMimetic finite difference method
Article history: Received 22 August 2012 Received in revised form 14 May 2013 Accepted 22 July 2013 Available online xxxx
متن کاملFlux reconstruction and solution post-processing in mimetic finite difference methods
We present a post-processing technique for the mimetic finite difference solution of diffusion problems in mixed form. Our postprocessing method yields a piecewise linear approximation of the scalar variable that is second-order accurate in the L-norm on quite general polyhedral meshes, including non-convex and non-matching elements. The post-processing is based on the reconstruction of vector ...
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: Computational & Applied Mathematics
سال: 2011
ISSN: 1807-0302
DOI: 10.1590/s1807-03022011000300012