Abstract
The dual irregular pyramid combines the advantage of adaptivity with a limited computational complexity of neighborhood operations. The levels of the pyramid, dual graphs, are defined only if they are planar. We prove that planarity is conserved during the construction of the pyramid. We also prove that, though only one graph of the pair is decimated, the dual graph being derived from the result of the decimation. both graphs at the next level have at most a non-increasing number of nodes.
This work was supported by the Austrian Science Foundation under grant P 8785
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© 1993 Springer-Verlag Berlin Heidelberg
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Kropatsch, W.G., Reither, C., Willersinn, D., Wlaschitz, G. (1993). The dual irregular pyramid. In: Chetverikov, D., Kropatsch, W.G. (eds) Computer Analysis of Images and Patterns. CAIP 1993. Lecture Notes in Computer Science, vol 719. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57233-3_4
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DOI: https://doi.org/10.1007/3-540-57233-3_4
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