The notion of translation-invariant operators is described and explained with reference to binary images. Erosion and dilation, opening and closing are discussed at length. Grey-scale morphology is introduced and the use of the umbra is presented. T-operators and their representation are described.

Anamorphosis, Dilation, Erosion, Grey-scale morphology, Hit-or-miss operator, Opening and closing, Skeletons, Structuring element, T-operator, Translation-invariant operators, Umbra
Advances in Imaging and Electron Physics
Centrum Wiskunde & Informatica, Amsterdam, The Netherlands

Heijmans, H.J.A.M. (2020). Operators which are translation invariant. Advances in Imaging and Electron Physics. doi:10.1016/bs.aiep.2020.07.004