Design of threshold Boolean filters under MSE criterion by iterative searching

1999 IEEE Workshop on Signal Processing Systems. SiPS 99. Design and Implementation (Cat. No.99TH8461) Pub Date : 1999-10-20 DOI:10.1109/SIPS.1999.822373

Pak-Cheung Lai, B. Zeng

引用次数: 0

Abstract

Threshold Boolean filters (TBFs) constitute a large class of nonlinear filters which are effective in removing impulsive noise and preserving image details. The minimum mean square error (MMSE) design of TBFs is found to be a quadratic 0-1 programming problem. Unfortunately, solving the problem needs a huge number of computations. We propose an iterative search algorithm of very low complexity to solve the design problem sub-optimally. In each iteration, only one variable is considered and updated. Simulation shows that the proposed algorithm converges quickly and often converges to the optimal solution.

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基于迭代搜索的MSE准则阈值布尔滤波器设计

阈值布尔滤波器(tbf)是一类能有效去除脉冲噪声和保留图像细节的非线性滤波器。发现tbf的最小均方误差(MMSE)设计是一个二次0-1规划问题。不幸的是，解决这个问题需要大量的计算。我们提出了一种非常低复杂度的迭代搜索算法来次优地解决设计问题。在每次迭代中，只考虑和更新一个变量。仿真结果表明，该算法收敛速度快，且经常收敛到最优解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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1999 IEEE Workshop on Signal Processing Systems. SiPS 99. Design and Implementation (Cat. No.99TH8461)

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