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COMPGEOM
2008
ACM
13 years 6 months ago
Maximum thick paths in static and dynamic environments
We consider the problem of finding a maximum number of disjoint paths for unit disks moving amidst static or dynamic obstacles. For the static case we give efficient exact algorit...
Esther M. Arkin, Joseph S. B. Mitchell, Valentin P...
COMPGEOM
2008
ACM
13 years 6 months ago
Extremal problems on triangle areas in two and three dimensions
The study of extremal problems on triangle areas was initiated in a series of papers by Erdos and Purdy in the early 1970s. In this paper we present new results on such problems, ...
Adrian Dumitrescu, Micha Sharir, Csaba D. Tó...
COMPGEOM
2008
ACM
13 years 6 months ago
Towards persistence-based reconstruction in euclidean spaces
Manifold reconstruction has been extensively studied for the last decade or so, especially in two and three dimensions. Recent advances in higher dimensions have led to new method...
Frédéric Chazal, Steve Oudot
COMPGEOM
2008
ACM
13 years 6 months ago
Robust construction of the three-dimensional flow complex
The Delaunay triangulation and its dual the Voronoi diagram are ubiquitous geometric complexes. From a topological standpoint, the connection has recently been made between these ...
Frédéric Cazals, Aditya G. Parameswa...
COMPGEOM
2008
ACM
13 years 6 months ago
Untangling triangulations through local explorations
In many applications it is often desirable to maintain a valid mesh within a certain domain that deforms over time. During a period for which the underlying mesh topology remains ...
Pankaj K. Agarwal, Bardia Sadri, Hai Yu