Geometry-preserving topological landscapes

Kenes Beketayev, Gunther H. Weber, Dmitriy Morozov, Aidos Abzhanov, Bernd Hamann A

2012

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DOI 10.1145/2425296.2425324
Data confidence 70 medium
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Abstract

We propose a novel technique for building geometry-preserving topological landscapes. Our technique creates a direct correlation between a scalar function and its topological landscape. This correlation is accomplished by introducing the notion of geometric proximity into the topological landscapes, reflecting the distance of topological features within the function domain. Furthermore, this technique enables direct comparative analysis between scalar functions, as long as they are defined on the same domain.