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Keno Jann Büscher, Jan Philipp Degel and Jan Oellerich
This paper provides a comprehensive overview of approaches to the determination of isocontours and isosurfaces from given data sets. Different algorithms are reported in the literature for this purpose, which originate from various application areas, suc...
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Douglas Lenseth and Boris Goldfarb
We address the basic question in discrete Morse theory of combining discrete gradient fields that are partially defined on subsets of the given complex. This is a well-posed question when the discrete gradient field V is generated using a fixed algorithm...
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Jesús F. Espinoza, Rosalía Hernández-Amador, Héctor A. Hernández-Hernández and Beatriz Ramonetti-Valencia
In this paper, we present an algorithm to compute the filtered generalized Cech complex for a finite collection of disks in the plane, which do not necessarily have the same radius. The key step behind the algorithm is to calculate the minimum scale fact...
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