منابع مشابه
On the sizes of Delaunay meshes
Let P be a polyhedral domain occupying a convex volume. We prove that the size of a graded mesh of P with bounded vertex degree is within a factor O(H P ) of the size of any Delaunay mesh of P with bounded radius-edge ratio. The term HP depends on the geometry of P and it is likely a small constant when the boundaries of P are fine triangular meshes. There are several consequences. First, among...
متن کاملOn Voronoi-Delaunay Duality and Delaunay Meshes
In this paper, we are concerned with Delaunay triangulations of the vertex set of a piecewise flat (pwf) surface. We first propose the notion of well-formed Voronoi diagrams and establish a precise dual relationship between them and proper Delaunay triangulations on pwf surfaces. Then we provide an algorithm which, given any input manifold triangle mesh, constructs aDelaunay mesh: a manifold tr...
متن کاملSelf-delaunay Meshes for Surfaces
In the Euclidean plane, a Delaunay triangulation can be characterized by the requirement that the circumcircle of each triangle be empty of vertices of all other triangles. For triangulating a surface S in R3, the Delaunay paradigm has typically been employed in the form of the restricted Delaunay triangulation, where the empty circumcircle property is defined by using the Euclidean metric in R...
متن کاملSelf-delaunay Meshes for Surfaces
In the Euclidean plane, a Delaunay triangulation can be characterized by the requirement that the circumcircle of each triangle be empty of vertices of all other triangles. For triangulating a surface S in R3, the Delaunay paradigm has typically been employed in the form of the restricted Delaunay triangulation, where the empty circumcircle property is defined by using the Euclidean metric in R...
متن کاملSelf-delaunay Meshes for Surfaces
In the Euclidean plane, a Delaunay triangulation can be characterized by the requirement that the circumcircle of each triangle be empty of vertices of all other triangles. For triangulating a surface S in R3, the Delaunay paradigm has typically been employed in the form of the restricted Delaunay triangulation, where the empty circumcircle property is defined by using the Euclidean metric in R...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2006
ISSN: 0925-7721
DOI: 10.1016/j.comgeo.2005.08.002