2009•SPIE eBooksRequires access

Binary Erosion and Dilation

Edward R. Dougherty, Roberto Lotufo

Abstract

The first chapter introduces the primary morphological operations on binary images, erosion and dilation. Erosion represents the probing of an image to see where some primitive shape fits inside the image, and all of mathematical morphology depends on this notion. Dilation is the dual operation to erosion, and is defined in terms of it relative to image complementation. Also discussed are the basic properties of dilation and erosion.

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Key concepts: Dilation (metric space), Mathematical morphology, Erosion, Binary number, Complementation, Mathematics, Image (mathematics), Geology