COMPUTATIONAL MATHEMATICAL MORPHOLOGY

被引：20

作者：

DOUGHERTY, ER

SINHA, D

机构：

[1] Center for Imaging Science, Rochester Institute of Technology, Rochester

[2] College of Staten Island, the Graduate Center, City University of New York, Staten Island

来源：

SIGNAL PROCESSING | 1994年 / 38卷 / 01期

关键词：

IMAGE REPRESENTATION; MORPHOLOGY; OPTIMAL FILTER;

D O I：

10.1016/0165-1684(94)90054-X

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

As classically defined via the umbra transform (or via lattice theory), the theory of gray-scale morphology applies to functions possessing the extended real line (or integers) as range. Four interrelated problems arise: (1) binary morphology embeds via {- infinity, 0}-valued functions; (2) finite-range function classes are not preserved; (3) gray-scale filters are not directly expressible in terms of logical variables, as are binary filters and, more generally, stack filters; and (4) the theory of optimal binary filters does not fall out directly as a special case of the gray-scale theory. The present paper discusses a different gray-scale morphology that eliminates the preceding anomalies. Major topics addressed are filter structure, representation of both increasing and nonincreasing operators, and, in particular, the theory of optimal filters.

引用

页码：21 / 29

页数：9

共 8 条

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[2]

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[6]

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[7]

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