Logical structural filters

Edward R. Dougherty; Yidong Chen

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Logical structural filters

机译：Logical structural filters

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Binary granulometric filters are formed from unions of parameterized openings, a point passing the filter if and only if a translate of at least one structuring element fits in the image and contains the point. A granulometry induces a reconstructive granulometry by passing any image component not eliminated by the granulometry. As historically stud-led in the context of Matheron's granulometric theory, reconstructive granulometries appear as unions of reconstructive parameterized openings. The theory is extended to a much wider class of filters: a logical structural filter (LSF) is formed as a union of intersections of both reconstructive and complementary reconstructive openings. A reconstructive opening passes a component if and only if at least one translate of the structuring element fits inside; a complementary reconstructive opening passes a component if and only if no translate of the structuring element fits inside. The original reconstructive granulometries form the special class of disjunctive LSFs. Complement-free LSFs form granulometries in a slightly more general sense; LSFs containing complements are not increasing and therefore not openings. Along with the relevant algebraic representations for LSFs, the theories of optimal and adaptive granulo-metric filters are extended to LSFs, a systematic formulation of adaptive transitions is given, transition probabilities for adaptation are found,and two applications to biological imaging are presented.#1998 Society of Photo-Optical Instrumentation Engineers. S0091-3286(98)00506-6 Subject terms: adaptive filter; granulometry; opening; optimal filter; morphology. Paper 33097 received Sep. 26, 1997; accepted for publication Dec. 27, 1997.

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《Optical Engineering》 |1998年第6期|1668-1676|共9页
作者
Edward R. Dougherty; Yidong Chen;
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Texas A&M University Texas Center for Applied Technology Department of Electrical Engineering College Station,/ Texas 77843-3407 E-mail e-dougherty@tamu.edu;

National Institutes of Health National Human Genome Research Institute Laboratory for Cancer Genetics Bethesda, /Maryland 20892;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类光学仪器;
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Logical structural filters

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