SIGNAL AND IMAGE-RESTORATION USING SHOCK FILTERS AND ANISOTROPIC DIFFUSION

SIGNAL AND IMAGE-RESTORATION USING SHOCK FILTERS AND ANISOTROPIC DIFFUSION
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DOI:
10.1137/0731032
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发表时间:
1994-04-01
影响因子:
2.9
通讯作者:
MAZORRA, L
MAZORRA, L
中科院分区:
数学2区
文献类型:
--
作者:
ALVAREZ, L;MAZORRA, L

文献摘要

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利用激波滤波法和各向异性扩散法,定义了一类用于噪声消除和边缘增强的新滤波法。研究了一些非线性偏微分方程组作为这些滤波器的模型。作者开发了递归和无条件稳定的格式,大大减少了算法的计算量。利用热方程,给出了一种新的线性高斯滤波的快速递推方法。
The authors define a new class of filters for noise elimination and edge enhancement by using shock filters and anisotropic diffusion. Some nonlinear partial differential equations used as models for these filters are studied. The authors develop recursive and unconditional stable schemes which drastically reduce the computational effort of the algorithms. A new fast recursive approach to linear Gaussian filters is also shown by using the heat equation.