Abstract
In this paper, we introduce an axiomatic framework for the notion of multiresolution connectivity on complete lattices. This framework extends the notion of connectivity classes, introduced by Serra in the late eighties. We introduce multiresolution connectivities by means of two equivalent notions: connectivity measures and connectivity pyramids. We present examples of multiresolution connectivities based on pyramids of dilations and of morphological sampling operators. We study the application of multiresolution connectivity to various image analysis tasks, such as pyramid decompositions, hierarchical segmentations, and multiresolution features.
This work was supported by the Office of Naval Research, Mathematical, Computer, and Information Sciences Division, under ONR Grant N00014-90-1345. The first author was also supported by the CNPq Scholarship 200725196-3.
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References
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© 2002 Kluwer Academic/Plenum Publishers
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Braga-Neto, U.M., Goutsias, J. (2002). Multiresolution Connectivity: An Axiomatic Approach. In: Goutsias, J., Vincent, L., Bloomberg, D.S. (eds) Mathematical Morphology and its Applications to Image and Signal Processing. Computational Imaging and Vision, vol 18. Springer, Boston, MA. https://doi.org/10.1007/0-306-47025-X_18
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DOI: https://doi.org/10.1007/0-306-47025-X_18
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-7923-7862-4
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