COMPGEOM
2008
ACM
14 years 2 months ago
2008
ACM
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 ...
COMPGEOM
2008
ACM
14 years 2 months ago
2008
ACM
We study the problem of two-dimensional Delaunay triangulation in the self-improving algorithms model [1]. We assume that the n points of the input each come from an independent, ...
COMPGEOM
2008
ACM
14 years 2 months ago
2008
ACM
Pattern matching in point sets is a well studied problem with numerous applications. We assume that the point sets may contain outliers (missing or spurious points) and are subjec...
COMPGEOM
2008
ACM
14 years 2 months ago
2008
ACM
A web application is presented to compute, plot, and interactively explore planar arrangements induced by algebraic plane curves of arbitrary degree. It produces accurate curve pl...
COMPGEOM
2008
ACM
14 years 2 months ago
2008
ACM
COMPGEOM
2008
ACM
14 years 2 months ago
2008
ACM
We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f
COMPGEOM
2008
ACM
14 years 2 months ago
2008
ACM
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...
COMPGEOM
2008
ACM
14 years 2 months ago
2008
ACM
When an observer is in a 3D scene, a topological change in the view arises when the line of sight is tangent to four objects. If we consider polyhedral scenes, the relevant lines ...
COMPGEOM
2008
ACM
14 years 2 months ago
2008
ACM
We introduce a hierarchical partitioning scheme of the Euclidean plane, called circular partitions. Such a partition consists of a hierarchy of convex polygons, each having small ...
COMPGEOM
2008
ACM
14 years 2 months ago
2008
ACM
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, ...