NONLOCAL OPERATORS WITH APPLICATIONS TO IMAGE PROCESSING
NONLOCAL OPERATORS WITH APPLICATIONS TO IMAGE PROCESSING
复制标题
DOI：
10.1137/070698592
复制
发表时间：
2008-01-01
影响因子：
1.6
通讯作者：
Osher, Stanley
中科院分区：
文献类型：
--
作者：
Gilboa, Guy;Osher, Stanley
我们建议使用非本地运营商去。新类型的流和泛函的图像处理和其他地方。与经典的基于偏微分方程的算法相比，一个主要的优点是能够处理更好的纹理和重复结构。这个主题可以被看作是谱图理论和扩散几何框架到泛函分析和偏微分方程类演化的扩展。给出了一些可能的应用和数值例子，并给出了在高维任意网格上近似Hamilton-Jacobi方程的一般框架。例如，在一个实施例中，控制理论。
We propose the use of nonlocal operators to de. ne new types of flows and functionals for image processing and elsewhere. A main advantage over classical PDE-based algorithms is the ability to handle better textures and repetitive structures. This topic can be viewed as an extension of spectral graph theory and the diffusion geometry framework to functional analysis and PDE-like evolutions. Some possible applications and numerical examples are given, as is a general framework for approximating Hamilton-Jacobi equations on arbitrary grids in high demensions, e. g., for control theory.