Now welcome, the most inspiring book today from a very professional writer in the world, computational geometry algorithms and applications 3rd edition. This is the book that many people in the worldâ€¦ (More)

<italic>We present an algorithm to compute a Euclidean minimum spanning tree of a given set S of n points in</italic> @@@@<supscrpt><italic>d</italic></supscrpt> <italic>in timeâ€¦ (More)

Voronoi diagrams of curved objects can show certain phenomena that are often considered artifacts: The Voronoi diagram is not connected; there are pairs of objects whose bisector is a closed curve orâ€¦ (More)

Let F and 9 be two collections of a total of n bivariate algebraic functions of constant maximum degree. The minimization diagrams of F, 9 are the planar maps obtained by the xy-projections of theâ€¦ (More)

We consider a competitive facility location problem with two players. Players alternate placing points, one at a time, into the playing arena, until each of them has placed n points. The arena isâ€¦ (More)

We present a near-quadratic time algorithm that computes a point inside a simple polygon P having approximately the largest visibility polygon inside P, and near-linear time algorithm for finding theâ€¦ (More)

Let S be an ordered set of disjoint unit spheres in R3 We show that if every subset of at most six spheres from S admits a line transversal respecting the ordering, then the entire family has a lineâ€¦ (More)