APPROXIMATE PERFORMANCE ANALYSIS OF EDGE-PRESERVING FILTERS
APPROXIMATE PERFORMANCE ANALYSIS OF EDGE-PRESERVING FILTERS
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DOI：
10.1109/78.236501
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发表时间：
1993-09-01
影响因子：
5.4
通讯作者：
KASSAM, SA
中科院分区：
文献类型：
--
作者：
HIMAYAT, N;KASSAM, SA
各种鲁棒滤波方法已被应用于边缘保持信号增强。这些滤波器的边缘性能是通过评估它们在边缘附近的输出均值和方差来衡量的。当评估这些措施的准确分析技术被证明是困难的时，人们被迫依赖统计模拟来进行绩效分析。这里，我们应用近似、渐近方法，特别是用于分析滤波器的边缘响应。这种技术对于基于估计器的情况是容易处理的，估计器可表示为样本的经验分布的泛函。作为该方法的一个例证，我们用该方法分析了修正的修剪均值和几个L滤子的例子。将性能预测结果与仿真结果进行了比较。对于实际样本量，得到了相当准确的预测。
A variety of robust filtering procedures have been applied in edge preserving signal enhancement. The edge performance of these filters has been gauged through the evaluation of their output mean and the variance, in the vicinity of an edge. When exact analytical techniques for evaluation of these measures prove to be intractable, one is forced to rely on statistical simulations for performance analysis. Here we apply approximate, asymptotic methods, specifically for analyzing the edge response of a filter. This technique is tractable for the case of filters based on estimators that are expressible as functionals of the empirical distribution of the sample. As an illustration of this approach, we use this method to analyze the modified trimmed mean and a few examples of the class of L-filters. The resulting performance predictions are compared with simulation results. Fairly accurate predictions are obtained for realistic sample sizes.