Voronoi diagrams in a river

نویسنده

  • Kokichi Sugihara
چکیده

A new generalized Voronoi diagram is defined on the surface of a river with unifonn flow; a point belongs to the territory of a site if and only if a boat starting from the site can reach the point faster than a boat starting from any other site. If the river runs slower than the boat, the Voronoi diagram can be obtained from the ordinary Voronoi diagram by a certain transformation, whereas if the river runs faster than the boat, the Voronoi diagram can be constructed by a plane sweep method. Voronoi Diagrams in a River

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Mobile Robot Online Motion Planning Using Generalized Voronoi Graphs

In this paper, a new online robot motion planner is developed for systematically exploring unknown environ¬ments by intelligent mobile robots in real-time applications. The algorithm takes advantage of sensory data to find an obstacle-free start-to-goal path. It does so by online calculation of the Generalized Voronoi Graph (GVG) of the free space, and utilizing a combination of depth-first an...

متن کامل

Voronoi Diagrams in Linear Time ∗

Voronoi diagrams are a well-studied data structure of proximity information, and although most cases require Ω(n log n) construction time, it is interesting and useful to develop linear-time algorithms for certain Voronoi diagrams. We develop a linear-time algorithm for abstract Voronoi diagrams in a domain where each site has a unique face and no pair of bisectors intersect outside the domain....

متن کامل

Randomized construction diagrams * incremental of abstract Voronoi Rolf

Abstract Voronoi diagrams were introduced by R. Klein (1988) as an axiomatic basis of Voronoi diagrams. We show how to construct abstract Voronoi diagrams in time O(n log n) by a randomized algorithm, which is based on Clarkson and Shor’s randomized incremental construction technique (1989). The new algorithm has the following advantages over previous algorithms: l It can handle a much wider cl...

متن کامل

On the conversion of ordinary voronoi diagrams into laguerre diagrams

We present some geometric relationships between the ordinary Voronoi diagram, and the Voronoi diagram in the Laguerre geometry. We derive from these properties an algorithm for the conversion of ordinary Voronoi diagrams into Voronoi diagrams in the Laguerre geometry.

متن کامل

Mapping is a Diffusion Problem

A variety of operations have been described in recent years that are intended as digital solutions to a basic class of cartographic adjacency problems. A selection of these algorithms includes: interpolation; Voronoi diagrams of point distributions (proximal maps, Thiessen polygons); skeleton encoding (of scanned characters or polygons); corridor selection, or extraction of regions within speci...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Int. J. Comput. Geometry Appl.

دوره 2  شماره 

صفحات  -

تاریخ انتشار 1992