Voronoi diagrams partition space according to the influence certain sites exert on their
environment. Since the 17th century, such structures play an important role in many areas …

In a geometric context, a collision or proximity query reports information about the relative
configuration or placement of two objects. Some of the common examples of such queries …

Although there are many advanced and specialized texts and handbooks on algorithms,
until now there was no book that focused exclusively on the wide variety of data structures …

In this paper a computer network is defined to be a set of autonomous, independent
computer systems, interconnected so as to permit interactive resource sharing between any …

We present a novel algorithm to perform continuous collision detection for articulated
models. Given two discrete configurations of the links of an articulated model, we use an …

This article is a survey of research areas in which motion plays a pivotal role. The aim of the
article is to review current approaches to modeling motion together with related data …

Among the intuitively appealing aspects of graph theory is its close connection to drawings
and geometry. The development of computer technology has become a source of motivation …

We present a fast continuous collision detection (CCD) algorithm for articulated models
using Taylor models and temporal culling. Our algorithm is a generalization of conservative …

We present kinetic data structures for detecting collisions between a set of polygons that are
moving continuously. Unlike classical collision detection methods that rely on bounding …

We introduce the polytope of pointed pseudo-triangulations of a point set in the plane,
defined as the polytope of infinitesimal expansive motions of the points subject to certain …