This document describes morphological operators designed for partitions (mosaic) images. Two approaches are addressed. Either each cell of the partition is processed independently of the other cells or the partition is considered as an image representation of a graph where some basic morphological operators (erosion and dilation) can be defined. An implementation of these operators in the Mamba image library is also given

Beucher, Serge

MAthematical Morphology operators on partitions.This document describes morphological operators designed for partition images. Two approaches are addressed. In the first one, each cell of the partition is considered independently of the others and various anti-extensive operators can be defined on it. However, these operators can be applied directly on the whole partition. There is no need to extract each cell to transform it. The second approach, on the contrary, considers a partition as a representation of a Delaunay graph. Morphological operators can be defined on this graph. This document explains how these operators can be implemented directly on the partition image. These operators have been implemented with the MAMBA Image library

HAL-MINES ParisTech

Basic Morphological Operators Applied On Partitions

Basic Morphological Operators Applied on Partitions

https://hal.archives-ouvertes.fr/hal-01403958

Basic Morphological Operators Applied on Partitions

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HAL-MINES ParisTech

HAL-MINES ParisTech