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.

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doi.org/10.1016/bs.aiep.2020.07.004
Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands

Heijmans, H. (2020). Operators which are translation invariant. In Advances in Imaging and Electron Physics (pp. 71–119). doi:10.1016/bs.aiep.2020.07.004