MORPHOLOGICAL FILTERS .2. THEIR RELATIONS TO MEDIAN, ORDER-STATISTIC, AND STACK FILTERS

被引：279

作者：

MARAGOS, P ^{[1
]}

SCHAFER, RW ^{[1
]}

机构：

[1] GEORGIA INST TECHNOL,SCH ELECT ENGN,ATLANTA,GA 30332

来源：

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING | 1987年 / 35卷 / 08期

关键词：

SIGNAL PROCESSING - Digital Techniques;

D O I：

10.1109/TASSP.1987.1165254

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The theory of median, order-statistic (OS), and stack filters is extended by using mathematical morphology to analyze them by relating them to those morphological erosions, dilations, openings, closings, and open-closings that commute with thresholding. The max-min representation of OS filters is introduced by showing that any median or other OS filter is equal to a maximum of erosions (moving local minima) and also to a minimum of dilations (moving local maxima). Thus, OS filters can be computed by a closed formula that involves a max-min on prespecified sets of numbers and no sorting. Stack filters are established as the class of filters that are composed exactly of a finite number of max-min operations.

引用

页码：1170 / 1184

页数：15

共 39 条

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