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Image segmentation

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TLDR
An axiomatic definition for the notion of "segmentation" in image processing is proposed, which is based on the idea of a maximal partition and a key theorem links segmentation with connection, on the one hand, and with connective criteria on the other one.
Abstract
Firstly, the paper proposes an axiomatic definition for the notion of "segmentation" in image processing, which is based on the idea of a maximal partition. Then a key theorem links segmentation with connection, on the one hand, and with connective criteria on the other one. A series of lattice properties are then developed. In a last part, two examples of segmentations are proposed.

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Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography

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Snakes : Active Contour Models

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