For a polygon P, the bounded Voronoi diagram of P is a partition of P into regions assigned to the vertices of P. A point p inside P belongs to the region of a vertex v if and onl...
The best known upper bound on the number of topological changes in the Delaunay triangulation of a set of moving points in R2 is (nearly) cubic, even if each point is moving with ...
Pankaj K. Agarwal, Jie Gao, Leonidas J. Guibas, Ha...
A data structure is presented for point location in convex planar subdivisions when the distribution of queries is known in advance. The data structure has an expected query time t...
We study the reconstruction of a stratified space from a possibly noisy point sample. Specifically, we use the vineyard of the distance function restricted to a 1-parameter family...
Paul Bendich, David Cohen-Steiner, Herbert Edelsbr...
Given a collection S of n line segments in the plane, the planar point location problem is to construct a data structure that can e ciently determine for a given query point p the...
Michael T. Goodrich, Mark W. Orletsky, Kumar Ramai...