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math.MG2005★ 2 cited
Power diagrams and Morse Theory
Martijn van Manen, Dirk Siersma
We study Morse theory of the (power) distance function to a set of points in . We describe the topology of the union of the corresponding set of growing balls by a Mo…
math.MG2004
The nine Morse generic tetrahedra
D. Siersma, M. van Manen
From computational geometry comes the notion of a Gabriel graph of a point set in the plane. The Gabriel graph consists of those edges connecting two points of the point set such t…