The digital TV filter and nonlinear denoising
The digital TV filter and nonlinear denoising
复制标题
DOI：
10.1109/83.902288
复制
发表时间：
2001-02-01
影响因子：
10.6
通讯作者：
Shen, JH
中科院分区：
文献类型：
--
作者：
Chan, TF;Osher, S;Shen, JH
受经典的TV（全变分）恢复模型的启发，我们提出了一种新的非线性滤波器-数字TV滤波器，用于去噪和增强数字图像，或者更一般地说，生活在图上的数据。数字电视滤波器是一个依赖于数据的低通滤波器，能够对数据进行去噪，而不会模糊跳跃或边缘。在迭代中，它解决了全局变分（或L-1）优化问题，这与大多数统计滤波器不同。应用程序给出了在去噪的一维（1-D）信号，二维（2-D）的数据与不规则结构，灰度和彩色图像，以及非平坦的图像特征，如色度。
Motivated by the classical TV (total variation) restoration model, we propose a new nonlinear filter-the digital TV filter for denoising and enhancing digital images, or more generally, data living on graphs. The digital TV filter is a data dependent lowpass filter, capable of denoising data without blurring jumps or edges. In iterations, it solves a global total variational (or L-1) optimization problem, which differs from most statistical filters. Applications are given in the denoising of one-dimensional (1-D) signals, two-dimensional (2-D) data with irregular structures, gray scale and color images, and nonflat image features such as chromaticity.