Spatial databases support a variety of geometric queries on point data such as range searches, nearest neighbor searches, etc. Balanced Aspect Ratio (BAR) trees are hierarchical sp...
We present a method to maintain a mesh approximating a deforming surface, which is specified by a dense set of sample points. We identify a reasonable motion model for which a pro...
We study a class of multi-commodity flow problems in geometric domains: For a given planar domain P populated with obstacles (holes) of K ≥ 2 types, compute a set of thick path...
Joondong Kim, Joseph S. B. Mitchell, Valentin Poli...
We present a simple randomized scheme for triangulating a set P of n points in the plane, and construct a kinetic data structure which maintains the triangulation as the points of...
We maintain the maximum spanning tree of a planar point set, as points are inserted or deleted, in O(log3 n) time per update in Mulmuley's expected-case model of dynamic geom...