منابع مشابه
The Complexity of Bisectors and Voronoi Diagrams on Realistic Terrains
We prove tight bounds on the complexity of bisectors and Voronoi diagrams on so-called realistic terrains, under the geodesic distance. In particular, if n denotes the number of triangles in the terrain, we show the following two results. (i) If the triangles of the terrain have bounded slope and the projection of the set of triangles onto the xy-plane has low density, then the worst-case compl...
متن کاملGenerating Realistic Terrains with Higher-Order Delaunay Triangulations
For hydrologic applications, terrain models should have few local minima, and drainage lines should coincide with edges. We show that triangulating a set of points with elevations such that the number of local minima of the resulting terrain is minimized is NP-hard for degenerate point sets. The same result applies when there are no degeneracies for higher-order Delaunay triangulations. Two heu...
متن کاملExperimental Verification of a Realistic Input Model for Polyhedral Terrains
A realistic input model for polyhedral terrains was introduced in [16]. With this model, improved upper and lower bounds on the combinatorial complexity of visibility and distance structures on these terrains were obtained. In this paper, we perform experiments with realworld data to determine how realistic the assumptions of that input model are, by examining what the values of the model param...
متن کاملFacility Location on Terrains
Given a terrain defined as a piecewise-linear function with n triangles, and m point sites on it, we would like to identify the location on the terrain that minimizes the maximum distance to the sites. The distance is measured as the length of the Euclidean shortest path along the terrain. To simplify the problem somewhat, we extend the terrain to (the surface of) a polyhedron. To compute the o...
متن کاملIntervisibility on Terrains
Many interesting application problems on terrains involve visibility computations; for example, the search for optimal locations of observation points, line-of-sight communication problems, and the computation of hidden or scenic paths. The solution of such problems needs techniques to answer visibility queries on a terrain eeciently, and/or the development of data structures encoding the visib...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computational Geometry
سال: 2008
ISSN: 0925-7721
DOI: 10.1016/j.comgeo.2007.10.008