THRESHOLD SUPERPOSITION IN MORPHOLOGICAL IMAGE-ANALYSIS SYSTEMS

被引：69
作者：
MARAGOS, P
ZIFF, RD
机构：
[1] Division of Applied Sciences, Harvard University, Cambridge
来源：
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE | 1990年 / 12卷 / 05期
基金：
美国国家科学基金会;
关键词：
Image analysis; mathematical morphology; thresholding;
D O I：
10.1109/34.55110
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this correspondence it is shown that many composite morphological systems, such as morphological edge detection, peak/ valley extraction, skeletonization, and shape-size distributions obey a weak linear superposition, called threshold-linear superposition. Namely, the output image signal or measurement from each system is the sum of outputs due to input binary images that result from thresholding the input gray-level image at all levels. Then these results are generalized to a vector space formulation, e.g., to any finite linear combination of simple morphological systems. Thus many such systems processing gray-level images are reduced to corresponding binary image processing systems, which are easier to analyze and implement. © 1990 IEEE
引用
收藏
页码：498 / 504
页数：7
相关论文
共 34 条
[11]   PATTERN SPECTRUM AND MULTISCALE SHAPE REPRESENTATION [J].
MARAGOS, P .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1989, 11 (07) :701-716
[12]   MORPHOLOGICAL FILTERS .2. THEIR RELATIONS TO MEDIAN, ORDER-STATISTIC, AND STACK FILTERS [J].
MARAGOS, P ;
SCHAFER, RW .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1987, 35 (08) :1170-1184
[13]  
MARAGOS P, 1989, IEEE T ACOUST SPEECH, V37, P597
[14]   MORPHOLOGICAL FILTERS .1. THEIR SET-THEORETIC ANALYSIS AND RELATIONS TO LINEAR SHIFT-INVARIANT FILTERS [J].
MARAGOS, P ;
SCHAFER, RW .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1987, 35 (08) :1153-1169
[15]   MORPHOLOGICAL SKELETON REPRESENTATION AND CODING OF BINARY IMAGES [J].
MARAGOS, PA ;
SCHAFER, RW .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1986, 34 (05) :1228-1244
[16]  
MATHERON G., 1975, RANDOM SETS INTEGRAL
[17]  
MATHERON G, 1967, ELEMENTS UNE THEORIE
[18]   ITERATIVE IMAGE TRANSFORMATIONS FOR AN AUTOMATIC SCREENING OF CERVICAL SMEARS [J].
MEYER, F .
JOURNAL OF HISTOCHEMISTRY & CYTOCHEMISTRY, 1979, 27 (01) :128-135
[19]  
MEYER F, 1980, PATTERN RECOGNITION
[20]  
MEYER F, 1978, SPECIAL ISSUES PRACT
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