Characterizing slope regions

Rocio Gonzalez-Diaz (), Darshan Batavia (), Rocio M. Casablanca () and Walter G. Kropatsch ()
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Rocio Gonzalez-Diaz: University of Seville
Darshan Batavia: TU Wien
Rocio M. Casablanca: University of Seville
Walter G. Kropatsch: TU Wien

Journal of Combinatorial Optimization, 2022, vol. 44, issue 4, No 27, 2680 pages

Abstract: Abstract This paper provides a theoretical characterization of monotonically connected image surface regions, called slope regions. The characterization is given by several topological properties described in terms of critical points relative to the region. We formally prove the necessary and sufficient conditions that a region needs to satisfy to be a slope region. We also provide a prototype of slope regions which is general and contains, as particular cases, the prototypes studied and published in previous conference papers.

Keywords: Slope regions; Topological characterization; Critical points; Height maps; Cellular decomposition; Slope complex (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10878-021-00783-5

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