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Erschienen in:
2014 | OriginalPaper | Buchkapitel
The Minimum Barrier Distance – Stability to Seed Point Position
verfasst von : Robin Strand, Filip Malmberg, Punam K. Saha, Elisabeth Linnér
Erschienen in: Discrete Geometry for Computer Imagery
Verlag: Springer International Publishing
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Distance and path-cost functions have been used for image segmentation at various forms, e.g., region growing or live-wire boundary tracing using interactive user input. Different approaches are associated with different fundamental advantages as well as difficulties. In this paper, we investigate the stability of segmentation with respect to perturbations in seed point position for a recently introduced pseudo-distance method referred to as the minimum barrier distance. Conditions are sought for which segmentation results are invariant with respect to the position of seed points and a proof of their correctness is presented. A notion of
δ
-interface is introduced defining the object-background interface at various gradations and its relation to stability of segmentation is examined. Finally, experimental results are presented examining different aspects of stability of segmentation results to seed point position.