Inf-Semilattice Approach to Self-Dual Morphology

[摘要] Self-duality is a desired property in many applications, and, in particular, image filtering, where it is expressed by identical treatment of bright and dark objects. It is however not a straightforward property of most operators in classical mathematical morphology (defined on complete lattices). With the recent extension of mathematical morphology to inf- semilattices, an alternative approach for self-dual morphology became possible. In this report, an inf- semilattice theory for self-dual morphology is developed, and two approaches for deriving self-dual operators are proposed. 40 Pages

[发布机构] HP Development Company

[学科分类] 计算机科学（综合）

[关键词] self-dual filtering;mathematical morphology;complete inf-semilattices