Abstract
The dynamics has been introduced for ranking the minima of a topographic surface according to their contrast. Constructing the watershed associated to the set of markers with a dynamic higher than a given threshold will produce a tesselation of the space. As the threshold becomes higher, neighboring regions merge: the contours which vanish may be labeled by the dynamics for which the merging occurs.
The paper shows that all information necessary for computing the dynamics of minima and of contours is contained in the minimal spanning tree of the neighborhood graph and efficient algorithms are presented for computing it.
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© 1996 Kluwer Academic Publishers
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Meyer, F. (1996). The Dynamics of Minima and Contours. In: Maragos, P., Schafer, R.W., Butt, M.A. (eds) Mathematical Morphology and its Applications to Image and Signal Processing. Computational Imaging and Vision, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0469-2_38
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DOI: https://doi.org/10.1007/978-1-4613-0469-2_38
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-8063-4
Online ISBN: 978-1-4613-0469-2
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