Lattice representations of functions

被引：0

作者：

Heijmans H.J.A.M. ^{[1
]}

机构：

[1] Centre for Mathematics and Computer Science, Amsterdam

来源：

Advances in Imaging and Electron Physics | 2020年 / 216卷

关键词：

Admissible complete lattices; From sets to functions; Power-Type lattices; Set-based representation of function lattices;

D O I：

10.1016/bs.aiep.2020.07.010

中图分类号：

学科分类号：

摘要：

It is shown that set operators can be extended to function operators. This makes it possible to transfer all the theory of binary morphology to grey-level images. For this, a function must be represented by a family of sets. The set operator is then applied to this family after which a transformed function is reconstructed for the family of transformed sets. © 2020 Elsevier Inc.

引用

页码：331 / 354

页数：23

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