3 edition of **Parallel implementation of an algorithm for Delaunay triangulation** found in the catalog.

Parallel implementation of an algorithm for Delaunay triangulation

- 69 Want to read
- 37 Currently reading

Published
**1993**
by National Aeronautics and Space Administration, Ames Research Center, National Technical Information Service, distributor in Moffett Field, Calif, [Springfield, Va
.

Written in English

- Parallel computers.,
- Numerical grid generation (Numerical analysis)

**Edition Notes**

Statement | Marshal L. Merriam. |

Series | NASA technical memorandum -- 103951. |

Contributions | Ames Research Center. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL17679939M |

Online shopping from a great selection at Books Store. J.C. Hardwick, Implementation and evaluation of an efficient parallel Delaunay triangulation algorithm, in: Proceedings of 9th Annual Symposium on Parallel Algorithms and Architectures, , pp. 22–

To each triangle in the triangulation we assign a value, which is 14! Fig. 3. Lloyd's counterexample to Shamos and Hoey's claim that a Delaunay triangulation is a minimum edge length triangulation. The Voronoi tessellation (shown as dashed lines) indicates the use of the longer diagonal for a Delaunay triangulation. Parallel d-D Delaunay Triangulations in Shared and Distributed Memory Daniel Funke Peter Sanders Abstract Computing the Delaunay triangulation (DT) of a given point set in RD is one of the fundamental operations in computational geometry. In this paper we present a novel divide-and-conquer (D&C) algorithm that lends itself equally.

This paper introduces a new algorithm for constrained Delaunay triangulation, which is built upon sets of points and constraining edges. It has various applications in geographical information system (GIS), for example, iso‐lines triangulation or the triangulation of polygons in land cadastre. The presented algorithm uses a sweep‐line paradigm combined with Lawson's legalisation. Parallel Incremental Delaunay Triangulation Julian Shun. Delaunay Triangulation •Problem: Given a set of points, create a Delaunay Triangulation •Serial incremental algorithm adds one point at a time, but points can be added in parallel if they don’t interact. •How can we find a set of independent points.

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Localizing the Delaunay Triangulation and its Parallel Implementation Renjie Chen Technion Haifa, Israel [email protected] Craig Gotsman Technion Haifa, Israel [email protected] Abstract—We show how to localize the Delaunay triangulation of a given planar point set, namely, bound the set of pointsCited by: 6.

Localizing the Delaunay Triangulation and its Parallel Implementation 3 Rong et al. [22] proposed a parallel algorithm to compute the DT using the GPU and CPU in tandem. With the GPU they compute the DT of a modi ed point set constructed by snapping each original input point to. Abstract.

We show how to localize the Delaunay triangulation of a given planar point set, namely, bound the set of points which are possible Delaunay neighbors of a given point. We then exploit this observation in an algorithm for constructing the Delaunay triangulation (and its dual Parallel implementation of an algorithm for Delaunay triangulation book diagram) by computing the Delaunay neighbors (and Voronoi cell) of each point by: 6.

This work concerns the theory and practice of implementing Tarmmura's algorithm for 3D Delaunay triangulation on Intel's Gamma prototype, a processor MIMD computer. Efficient implementation of Tanemura's algorithm on a conventional, vector processing, su-percomputer is problematic. It does not vectorize to any significant degree and requires.

This paper describes the design and implementation of a practical parallel algorithm for Delaunay triangulation that works well on general distributions. Although there have been many theoretical parallel algorithms for the problem, and some.

This paper describes the design and implementation of a practical parallel algorithm for Delaunay triangulation that works well on general distributions.

Although there have been many theoretical parallel algorithms for the problem, and some implementations based on bucketing that work well for uniform distributions, there has been little work on implementations for general distributions.

Delaunay Triangulation in Parallel Adarsh Prakash CSE Parallel Algorithms Algorithm: Parallel Overview Compute Delaunay Triangulation of Local Region Merge Incoming Region and Local Implementation •Implementation in C and MPI •Pseudo code from paper for serial version of merge –made life easier •Jobs were run on general.

The Delaunay triangulation (DT) have been extensively studied and many robust sequential implementationsare avail-able. [4] In literature, there are many theoretical parallel algorithms for DT, but their reliable implementation and availability are not very impressive.

DT falls under the category of irregular applications, which pose different set. This paper describes the derivation of an empirically efficient parallel two-dimensional Delaunay triangulation program from a theoretically efficient CREW PRAM algorithm.

Compared to previous work, the resulting implementation is not limited to. Delaunay, meshing, parallel, space-eﬃcient 1. INTRODUCTION We present a parallel algorithm for 3D Delaunay tetra-hedralization. The algorithm is based on previous work [9] involving a compact data structure for representing 2D and 3D meshes, with an accompanying sequential algorithm.

In this paper we discuss the design issues involved in. To increase the efficiency when processing large data sets, a novel parallel algorithm is proposed for constructing the Delaunay triangulation of a planar point set based on a twofold-divide-and.

The parallel implementation of the hybrid algorithm has a good speed‐up, while data communication is the crucial factor for the efficiency of the parallel version. Overall, the parallel version outperforms both the sequential divide‐and‐conquer algorithm and the sequential incremental insertion algorithm.

The parallelization of Delaunay triangulation algorithms has been investigated, with different solutions designed and evaluated. The first one, which is a parallel implementation of the Divide & Conquer paradigm, was faster but showed limited scalability.

The second one operates a regular geometric partition of the dataset and subdivides the load among m independent asynchronous processors. Any sequential Delaunay triangulation algorithm can be adopted for block triangulation. In our implementation, we use Dwyer’s algorithm because it has been shown to be the fastest algorithm and it is very robust [9,10,12].

Dwyer’s algorithm is outlined as follows. Sort points intom ×m buckets (m = n/logn,wheren is the number of points). Abstract. We present a data-parallel algorithm for the construction of Delaunay triangulations on the sphere.

Our method combines a variant of the classical Bowyer-Watson point insertion algorithm [2, 14] with the recently published parallelization technique by Jacobsen et al.

[].It resolves a breakdown situation of the latter approach and is suitable for practical implementation due to its. They show that this algorithm runs in linear expected time for uniformly distributed sites.

In fact, their experiments show that the performance of this algorithm is nearly identical to Dwyer’s. Sweepline Algorithms Fortune [11] invented another O (n log) scheme for constructing the Delaunay triangulation using a sweepline algorithm. For the construction of Delaunay triangulation in three and higher dimensions, point insertion algorithm is the most popular, and many interesting methods have been proposed.For a set of 3D points, the initial triangulation is a cuboid consisting of five or six Delaunay tetrahedra large enough to contain all the given points as shown in Fig.

C ’ /10/25 ’ 36 Delaunay Mesh Generation e e Figure At left,e is locally Delaunay. At right, e is not. De nition (locally Delaunay). Let e be an edge in a triangulation T in the plane. If e is an edge of fewer than two triangles in T,thene is said to be locally Delaunay.

Design and Implementation of a Practical Parallel Delaunay Algorithm1 G. Blelloch,2 J. Hardwick,3 G. Miller,2 and D. Talmor4 Abstract. This paper describes the design and implementation of a practical parallel algorithm for Delau-nay triangulation that works well on general distributions.

Although there have been many theoretical parallel. By extending an incremental algorithm for Delaunay triangulation to use finalization tags and produce streaming mesh output, we compute a billion-triangle terrain representation for the Neuse.

Execution policies. Most algorithms have overloads that accept execution policies. The standard library algorithms support several execution policies, and the library provides corresponding execution policy types and may select an execution policy statically by invoking a parallel algorithm with an execution policy object of the corresponding type.Choosing an algorithm Degree of predicates & number of operations!

constantin O ()! sizeof errors! lengthof integers for exact arithmetic Incremental algorithm only usesintrinsicpredicates any algorithm computing Delaunay triangulation is able to answer them orient, in disk Sweep uses ad hoc higher degree predicates.Delaunay Triangulation Steve Oudot. Outline 1.

Deﬁnition and Examples 2. Applications 3. Basic properties 4. Construction T triangulation w/ max. smallest angle Proof: Local optimality and smallest angle.

Computing Delaunay Incremental algorithm (short overview) Find triangles in conﬂict. Delete triangles in conﬂict.