Inf-Semilattice Approach to Self-Dual Morphology

Heijmans, Henk J.A.M. ; Keshet, Renato

HP Development Company

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

RP-ID  :  HPL-2000-103

学科分类：计算机科学（综合）

美国|英语

来源: HP Labs

【 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