✦ LIBER ✦

Unification of nonlinear filtering in the context of binary logical calculus, part II: Gray-scale filters

✍ Scribed by Edward R. Dougherty

Publisher: Springer US
Year: 1992
Tongue: English
Weight: 639 KB
Volume: 2
Category: Article
ISSN: 0924-9907
DOI: 10.1007/bf00118589

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✦ Synopsis

This second part of a two-part study concerning the logical structure of nonlinear filters treats gray-scale filters. The algebraic framework of threshold decomposition is dedscribed in terms of the appropriate underlying commuting diagram, along with the manner in which generalized stack filters fall out of the framework when it is interpreted in the context of logical calculus. Relationships between representations for morphological and generalized stack filters are expressed in cellular logic.

📜 SIMILAR VOLUMES

Unification of nonlinear filtering in th

Unification of nonlinear filtering in the context of binary logical calculus, part I: Binary filters

✍ Edward R. Dougherty; Robert M. Haralick 📂 Article 📅 1992 🏛 Springer US 🌐 English ⚖ 891 KB

The mathematical structure of nonlinear filtering is expressed in the context of binary logic. This first part of a two-part study concerns the binary setting. Operator properties, such as antiextensivity and idempotence, are expressed in finite logical expressions, as are the Matheron representatio