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...
A hierarchical gradient of an unstructured mesh M0 is a sequence of meshes M1;...;Mk such that jMkj is smaller than a given threshold mesh size b. The gradient is well-conditioned...
We describe a new approach for cluster-based drawing of very large graphs, which obtains clusters by using binary space partition (BSP) trees. We also introduce a novel BSP-type de...
Christian A. Duncan, Michael T. Goodrich, Stephen ...
— We examine the problem of partitioning a square into convex polygons which are as circular as possible. Circular means that the polygon’s aspect ratio is supposed to be near
Let P be a polyhedral domain occupying a convex volume. We prove that the size of a graded mesh of P with bounded vertex degree is within a factor O(H3 P ) of the size of any Dela...