120 citations · 423 across the 16 of their papers we have counts for
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Delaunay triangulations of generalized Bolza surfaces
Matthijs Ebbens, Iordan Iordanov, Monique Teillaud +1
The Bolza surface can be seen as the quotient of the hyperbolic plane, represented by the Poincaré disk model, under the action of the group generated by the hyperbolic isometries…
Minimal Delaunay triangulations of hyperbolic surfaces
Matthijs Ebbens, Hugo Parlier, Gert Vegter
Motivated by recent work on Delaunay triangulations of hyperbolic surfaces, we consider the minimal number of vertices of such triangulations. First, we will show that every hyperb…
Isotopic Arrangement of Simple Curves: an Exact Numerical Approach based on Subdivision
Jyh-Ming Lien, Vikram Sharma, Gert Vegter +1
This paper presents the first purely numerical (i.e., non-algebraic) subdivision algorithm for the isotopic approximation of a simple arrangement of curves. The arrangement is "sim…
Certified Computation of planar Morse-Smale Complexes
Amit Chattopadhyay, Gert Vegter, Chee K. Yap
The Morse-Smale complex is an important tool for global topological analysis in various problems of computational geometry and topology. Algorithms for Morse-Smale complexes have b…