Delaunay Tetrahedralization And Its Dual Voronoi Diagrams

Author : Maria Vineeta
Publisher : GRIN Verlag
ISBN 13 : 366844420X
Total Pages : 33 pages
Book Rating : 4.01/5 ( download)

DOWNLOAD NOW!

Download or read book Delaunay Tetrahedralization and its dual Voronoi Diagrams written by Maria Vineeta and published by GRIN Verlag. This book was released on 2017-05-10 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master's Thesis from the year 2014 in the subject Computer Science - Applied, grade: B+, Bournemouth University, course: Msc Computer Animation and Visual Effects, language: English, abstract: The Delaunay tetrahedralization (DT) is one of the most popular and common methods used for solving problems related to meshes. It is either used for generating a mesh or for breaking it up, as Voronoi diagrams, dual of the DT, is a commonly used process for that. The main task of this project is to implement a robust Delaunay Tetrahedralization structure, with a set of points generated from sampling a given 3D Mesh. Points within the volume of the mesh can be obtained by several methods. We present two such methods and discuss the result obtained. These points serve as vertices for the tetrahedrons that are a part of the combinatorial structure DT. 3D Delaunay Tetrahedralization is not as optimal as 2D Delaunay triangulations. Implementing them gives rise to several degeneracies, which are quite difficult to handle. In this project, we have implemented a simple Incremental Insertion Algorithm based on the paper presented by Ledoux (2007), inorder to construct the DT structure. Correctness of the structure is given utmost importance rather than its speed.

Author : Franz Aurenhammer
Publisher : World Scientific Publishing Company
ISBN 13 : 981444765X
Total Pages : 348 pages
Book Rating : 4.52/5 ( download)

DOWNLOAD NOW!

Download or read book Voronoi Diagrams and Delaunay Triangulations written by Franz Aurenhammer and published by World Scientific Publishing Company. This book was released on 2013-06-26 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Voronoi diagrams partition space according to the influence certain sites exert on their environment. Since the 17th century, such structures play an important role in many areas like Astronomy, Physics, Chemistry, Biology, Ecology, Economics, Mathematics and Computer Science. They help to describe zones of political influence, to determine the hospital nearest to an accident site, to compute collision-free paths for mobile robots, to reconstruct curves and surfaces from sample points, to refine triangular meshes, and to design location strategies for competing markets. This unique book offers a state-of-the-art view of Voronoi diagrams and their structure, and it provides efficient algorithms towards their computation. Readers with an entry-level background in algorithms can enjoy a guided tour of gently increasing difficulty through a fascinating area. Lecturers might find this volume a welcome source for their courses on computational geometry. Experts are offered a broader view, including many alternative solutions, and up-to-date references to the existing literature; they might benefit in their own research or application development.

Author : Ding-Zhu Du
Publisher : World Scientific
ISBN 13 : 9789810218768
Total Pages : 520 pages
Book Rating : 4.61/5 ( download)

DOWNLOAD NOW!

Download or read book Computing in Euclidean Geometry written by Ding-Zhu Du and published by World Scientific. This book was released on 1995 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. Topics covered include the history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, computational algebra, triangulations, machine proofs, topological designs, finite-element mesh, computer-aided geometric designs and Steiner trees. This second edition contains three new surveys covering geometric constraint solving, computational geometry and the exact computation paradigm.

Author : Franz Aurenhammer
Publisher :
ISBN 13 : 9789814447645
Total Pages : pages
Book Rating : 4.41/5 ( download)

DOWNLOAD NOW!

Download or read book Voronoi Diagrams and Delaunay Triangulations written by Franz Aurenhammer and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Siu-Wing Cheng
Publisher : CRC Press
ISBN 13 : 1584887311
Total Pages : 404 pages
Book Rating : 4.17/5 ( download)

DOWNLOAD NOW!

Download or read book Delaunay Mesh Generation written by Siu-Wing Cheng and published by CRC Press. This book was released on 2016-04-19 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by authors at the forefront of modern algorithms research, Delaunay Mesh Generation demonstrates the power and versatility of Delaunay meshers in tackling complex geometric domains ranging from polyhedra with internal boundaries to piecewise smooth surfaces. Covering both volume and surface meshes, the authors fully explain how and why thes

Author : Marina L. Gavrilova
Publisher : Springer Science & Business Media
ISBN 13 : 3540851259
Total Pages : 316 pages
Book Rating : 4.57/5 ( download)

DOWNLOAD NOW!

Download or read book Generalized Voronoi Diagram: A Geometry-Based Approach to Computational Intelligence written by Marina L. Gavrilova and published by Springer Science & Business Media. This book was released on 2008-10-13 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year 2008 is a memorial year for Georgiy Vorono (1868-1908), with a number of events in the scientific community commemorating his tremendous contribution to the area of mathematics, especially number theory, through conferences and scientific gatherings in his honor. A notable event taking place in September 2008 a joint c- ference: the 5th Annual International Symposium on Voronoi Diagrams (ISVD) and the 4th International Conference on Analytic Number Theory and Spatial Tessel- tions held in Kyiv, Georgiy Vorono ’s native land. The main ideas expressed by G. Vorono ’s through his fundamental works have influenced and shaped the key dev- opments in computation geometry, image recognition, artificial intelligence, robotics, computational science, navigation and obstacle avoidance, geographical information systems, molecular modeling, astrology, physics, quantum computing, chemical en- neering, material sciences, terrain modeling, biometrics and other domains. This book is intended to provide the reader with in-depth overview and analysis of the fundamental methods and techniques developed following G. Voronoi ideas, in the context of the vast and increasingly growing area of computational intelligence. It represents the collection of state-of-the art research methods merging the bridges between two areas: geometric computing through Voronoi diagrams and intelligent computation techniques, pushing the limits of current knowledge in the area, impr- ing on previous solutions, merging sciences together, and inventing new ways of approaching difficult applied problems.

Author : Marina L. Gavrilova
Publisher : Springer
ISBN 13 : 3540851267
Total Pages : 316 pages
Book Rating : 4.64/5 ( download)

DOWNLOAD NOW!

Download or read book Generalized Voronoi Diagram: A Geometry-Based Approach to Computational Intelligence written by Marina L. Gavrilova and published by Springer. This book was released on 2008-10-02 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year 2008 is a memorial year for Georgiy Vorono (1868-1908), with a number of events in the scientific community commemorating his tremendous contribution to the area of mathematics, especially number theory, through conferences and scientific gatherings in his honor. A notable event taking place in September 2008 a joint c- ference: the 5th Annual International Symposium on Voronoi Diagrams (ISVD) and the 4th International Conference on Analytic Number Theory and Spatial Tessel- tions held in Kyiv, Georgiy Vorono ’s native land. The main ideas expressed by G. Vorono ’s through his fundamental works have influenced and shaped the key dev- opments in computation geometry, image recognition, artificial intelligence, robotics, computational science, navigation and obstacle avoidance, geographical information systems, molecular modeling, astrology, physics, quantum computing, chemical en- neering, material sciences, terrain modeling, biometrics and other domains. This book is intended to provide the reader with in-depth overview and analysis of the fundamental methods and techniques developed following G. Voronoi ideas, in the context of the vast and increasingly growing area of computational intelligence. It represents the collection of state-of-the art research methods merging the bridges between two areas: geometric computing through Voronoi diagrams and intelligent computation techniques, pushing the limits of current knowledge in the area, impr- ing on previous solutions, merging sciences together, and inventing new ways of approaching difficult applied problems.

Author : Øyvind Hjelle
Publisher : Springer Science & Business Media
ISBN 13 : 3540332618
Total Pages : 239 pages
Book Rating : 4.19/5 ( download)

DOWNLOAD NOW!

Download or read book Triangulations and Applications written by Øyvind Hjelle and published by Springer Science & Business Media. This book was released on 2006-09-19 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will serve as a valuable source of information about triangulations for the graduate student and researcher. With emphasis on computational issues, it presents the basic theory necessary to construct and manipulate triangulations. In particular, the book gives a tour through the theory behind the Delaunay triangulation, including algorithms and software issues. It also discusses various data structures used for the representation of triangulations.

Author : Marina L. Gavrilova
Publisher : Springer
ISBN 13 : 3642419054
Total Pages : 191 pages
Book Rating : 4.58/5 ( download)

DOWNLOAD NOW!

Download or read book Transactions on Computational Science XX written by Marina L. Gavrilova and published by Springer. This book was released on 2013-10-23 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This, the 20th issue of the Transactions on Computational Science journal, edited by Bahman Kalantari, is devoted to the topic of Voronoi Diagrams and their applications. The 10 full papers included in the volume are revised and extended versions of a selection of papers presented at the International Symposium on Voronoi Diagrams 2012, held in Rutgers, NJ, USA, in June 2012. They provide an in-depth overview of current research on topological data structures and a comprehensive evaluation of their applications in the fields of cartography, physics, material modeling, chemistry, GIS, motion planning and computer graphics.

Author : Yongjie Jessica Zhang
Publisher : CRC Press
ISBN 13 : 1315360225
Total Pages : 197 pages
Book Rating : 4.25/5 ( download)

DOWNLOAD NOW!

Download or read book Geometric Modeling and Mesh Generation from Scanned Images written by Yongjie Jessica Zhang and published by CRC Press. This book was released on 2018-09-03 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cutting-Edge Techniques to Better Analyze and Predict Complex Physical Phenomena Geometric Modeling and Mesh Generation from Scanned Images shows how to integrate image processing, geometric modeling, and mesh generation with the finite element method (FEM) to solve problems in computational biology, medicine, materials science, and engineering. Based on the author’s recent research and course at Carnegie Mellon University, the text explains the fundamentals of medical imaging, image processing, computational geometry, mesh generation, visualization, and finite element analysis. It also explores novel and advanced applications in computational biology, medicine, materials science, and other engineering areas. One of the first to cover this emerging interdisciplinary field, the book addresses biomedical/material imaging, image processing, geometric modeling and visualization, FEM, and biomedical and engineering applications. It introduces image-mesh-simulation pipelines, reviews numerical methods used in various modules of the pipelines, and discusses several scanning techniques, including ones to probe polycrystalline materials. The book next presents the fundamentals of geometric modeling and computer graphics, geometric objects and transformations, and curves and surfaces as well as two isocontouring methods: marching cubes and dual contouring. It then describes various triangular/tetrahedral and quadrilateral/hexahedral mesh generation techniques. The book also discusses volumetric T-spline modeling for isogeometric analysis (IGA) and introduces some new developments of FEM in recent years with applications.