A spectral characterization of the Delaunay triangulation

نویسندگان
چکیده

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A spectral characterization of the Delaunay triangulation

Article history: Received 17 September 2009 Received in revised form 4 February 2010 Accepted 9 February 2010 Available online xxxx

متن کامل

Delaunay Triangulation of Manifolds

We present an algorithmic framework for producing Delaunay triangulations of manifolds. The input to the algorithm is a set of sample points together with coordinate patches indexed by those points. The transition functions between nearby coordinate patches are required to be bi-Lipschitz with a constant close to 1. The primary novelty of the framework is that it can accommodate abstract manifo...

متن کامل

A Weak Characterisation of the Delaunay Triangulation

We consider a new construction, the weak Delaunay triangulation of a finite point set in a metric space, which contains as a subcomplex the traditional (strong) Delaunay triangulation. The two simplicial complexes turn out to be equal for point sets in Euclidean space, as well as in the (hemi)sphere, hyperbolic space, and certain other geometries. There are weighted and approximate versions of ...

متن کامل

Constrained Delaunay Triangulation Using Delaunay Visibility

An algorithm for constructing constrained Delaunay triangulation (CDT) of a planar straight-line graph (PSLG) is presented. Although the uniform grid method can reduce the time cost of visibility determinations, the time needed to construct the CDT is still long. The algorithm proposed in this paper decreases the number of edges involved in the computation of visibility by replacing traditional...

متن کامل

Hexagonal Delaunay Triangulation

We present a novel and robust algorithm for triangulating point clouds in R. It is based on a highly adaptive hexagonal subdivision scheme of the input domain. That hexagon mesh has a dual triangular mesh with the following properties: • any angle of any triangle lies in the range between 43.9◦ and 90◦, • the aspect ratio of triangles is bound to 1.20787, • the triangulation has the Delaunay pr...

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

ژورنال

عنوان ژورنال: Computer Aided Geometric Design

سال: 2010

ISSN: 0167-8396

DOI: 10.1016/j.cagd.2010.02.002