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Erschienen in:
2013 | OriginalPaper | Buchkapitel
Relations between Amoeba Median Algorithms and Curvature-Based PDEs
verfasst von : Martin Welk
Erschienen in: Scale Space and Variational Methods in Computer Vision
Verlag: Springer Berlin Heidelberg
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This paper is concerned with the theoretical analysis of structure-adaptive median filter algorithms that approximate curvature-based PDEs for image filtering and segmentation. These so-called morphological amoeba filters, introduced by Lerallut et al. and further developped by Welk et al., achieve similar results as the well-known geodesic active contour and self-snakes PDEs. In the present work, the PDE approximated by amoeba active contours is derived in the general case. This PDE is structurally similar but not identical to the geodesic active contour equation. Implications for the qualitative behaviour of amoeba active contours as well as for the approximation of the pre-smoothed self-snakes equation are investigated.