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 …

This well-accepted introduction to computational geometry is a textbook for high-level
undergraduate and low-level graduate courses. The focus is on algorithms and hence the …

This is the newly revised and expanded edition of the popular introduction to the design and
implementation of geometry algorithms arising in areas such as computer graphics, robotics …

This paper provides a classification of perceptual issues in augmented reality, created with a
visual processing and interpretation pipeline in mind. We organize issues into ones related …

The topic of this chapter, Voronoi diagrams, differs from other areas of computational
geometry, in that its origin dates back to the 17th century. In his book on the principles of …

The straight skeleton of a polygon is a variant of the medial axis, introduced by Aichholzer et
al., defined by a shrinking process in which each edge of the polygon moves inward at a …

We discuss the design and implementation of a topology-oriented algorithm for the
computation of Voronoi diagrams of points and line segments in the two-dimensional …

We prove four results on randomized incremental constructions(RICs):● an analysis of the
expected behavior under insertion and deletions,● a fully dynamic data structure for convex …

We give a linear-time algorithm for computing the medial axis of a simple polygon P. This
answers a long-standing open question—previously, the best deterministic algorithm ran in …

This paper studies the practical generation of Voronoi diagrams and offset curves of simply-
connected planar areas bounded by straight lines and circular arcs. We present and analyze …