Delaunay Mesh Generation

Delaunay Mesh Generation PDF Author: Siu-Wing Cheng
Publisher: CRC Press
ISBN: 1584887311
Category : Computers
Languages : en
Pages : 404

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Book Description
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

Delaunay Mesh Generation

Delaunay Mesh Generation PDF Author: Siu-Wing Cheng
Publisher: CRC Press
ISBN: 1584887311
Category : Computers
Languages : en
Pages : 404

Get Book Here

Book Description
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

Finite Element Mesh Generation

Finite Element Mesh Generation PDF Author: Daniel S.H. Lo
Publisher: CRC Press
ISBN: 041569048X
Category : Technology & Engineering
Languages : en
Pages : 676

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Book Description
Highlights the Progression of Meshing Technologies and Their Applications Finite Element Mesh Generation provides a concise and comprehensive guide to the application of finite element mesh generation over 2D domains, curved surfaces, and 3D space. Organised according to the geometry and dimension of the problem domains, it develops from the basic meshing algorithms to the most advanced schemes to deal with problems with specific requirements such as boundary conformity, adaptive and anisotropic elements, shape qualities, and mesh optimization. It sets out the fundamentals of popular techniques, including: Delaunay triangulation Advancing-front (ADF) approach Quadtree/Octree techniques Refinement and optimization-based strategies From the geometrical and the topological aspects and their associated operations and inter-relationships, each approach is vividly described and illustrated with examples. Beyond the algorithms, the book also explores the practice of using metric tensor and surface curvatures for generating anisotropic meshes on parametric space. It presents results from research including 3D anisotropic meshing, mesh generation over unbounded domains, meshing by means of intersection, re-meshing by Delaunay-ADF approach, mesh refinement and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods. The author provides illustrations of major meshing algorithms, pseudo codes, and programming codes in C++ or FORTRAN. Geared toward research centers, universities, and engineering companies, Finite Element Mesh Generation describes mesh generation methods and fundamental techniques, and also serves as a valuable reference for laymen and experts alike.

Proceedings of the 17th International Meshing Roundtable

Proceedings of the 17th International Meshing Roundtable PDF Author: Rao V. Garimella
Publisher: Springer Science & Business Media
ISBN: 3540879218
Category : Technology & Engineering
Languages : en
Pages : 622

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Book Description
This volume contains the articles presented at the 17th International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and held October 12-15, 2008. The volume presents recent results of mesh generation and adaptation which has applications to finite element simulation. It introduces theoretical and novel ideas with practical potential.

Geometry and Topology for Mesh Generation

Geometry and Topology for Mesh Generation PDF Author: Herbert Edelsbrunner
Publisher: Cambridge University Press
ISBN: 9780521793094
Category : Computers
Languages : en
Pages : 206

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Book Description
The book combines topics in mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation). The original motivation for these topics was the difficulty faced (both conceptually and in the technical execution) in any attempt to combine elements of combinatorial and of numerical algorithms. Mesh generation is a topic where a meaningful combination of these different approaches to problem solving is inevitable. The book develops methods from both areas that are amenable to combination, and explains recent breakthrough solutions to meshing that fit into this category.The book should be an ideal graduate text for courses on mesh generation. The specific material is selected giving preference to topics that are elementary, attractive, lend themselves to teaching, useful, and interesting.

Computing in Euclidean Geometry

Computing in Euclidean Geometry PDF Author: Ding-Zhu Du
Publisher: World Scientific
ISBN: 9789810218768
Category : Mathematics
Languages : en
Pages : 520

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Book Description
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.

Delaunay Triangulation and Meshing

Delaunay Triangulation and Meshing PDF Author: Paul-Louis George
Publisher: Hermes Science Publications
ISBN: 9782866016920
Category : Technology & Engineering
Languages : en
Pages : 413

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Book Description
The authors describe meshing techniques based on Delauney triangulation, which is used in construction projects. They also discuss classical mesh generation techniques and more advanced topics such as isotop, planar, curve surface and volumetric testing. The theoretical discussion is complemented by examples of practical applications.

Handbook of Grid Generation

Handbook of Grid Generation PDF Author: Joe F. Thompson
Publisher: CRC Press
ISBN: 9781420050349
Category : Technology & Engineering
Languages : en
Pages : 1136

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Book Description
Handbook of Grid Generation addresses the use of grids (meshes) in the numerical solutions of partial differential equations by finite elements, finite volume, finite differences, and boundary elements. Four parts divide the chapters: structured grids, unstructured girds, surface definition, and adaption/quality. An introduction to each section provides a roadmap through the material. This handbook covers: Fundamental concepts and approaches Grid generation process Essential mathematical elements from tensor analysis and differential geometry, particularly relevant to curves and surfaces Cells of any shape - Cartesian, structured curvilinear coordinates, unstructured tetrahedra, unstructured hexahedra, or various combinations Separate grids overlaid on one another, communicating data through interpolation Moving boundaries and internal interfaces in the field Resolving gradients and controlling solution error Grid generation codes, both commercial and freeware, as well as representative and illustrative grid configurations Handbook of Grid Generation contains 37 chapters as well as contributions from more than 100 experts from around the world, comprehensively evaluating this expanding field and providing a fundamental orientation for practitioners.

Triangulations and Applications

Triangulations and Applications PDF Author: Øyvind Hjelle
Publisher: Springer Science & Business Media
ISBN: 3540332618
Category : Mathematics
Languages : en
Pages : 239

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Book Description
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.

Advances in Computer Graphics

Advances in Computer Graphics PDF Author: Nadia Magnenat-Thalmann
Publisher: Springer Nature
ISBN: 3030890295
Category : Computers
Languages : en
Pages : 717

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Book Description
This book constitutes the refereed proceedings of the 38th Computer Graphics International Conference, CGI 2021, held virtually in September 2021. The 44 full papers presented together with 9 short papers were carefully reviewed and selected from 131 submissions. The papers are organized in the following topics: computer animation; computer vision; geometric computing; human poses and gestures; image processing; medical imaging; physics-based simulation; rendering and textures; robotics and vision; visual analytics; VR/AR; and engage.

Proceedings of the 22nd International Meshing Roundtable

Proceedings of the 22nd International Meshing Roundtable PDF Author: Josep Sarrate
Publisher: Springer Science & Business Media
ISBN: 3319023357
Category : Technology & Engineering
Languages : en
Pages : 599

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Book Description
This volume contains the articles presented at the 22nd International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and was held on Oct 13-16, 2013 in Orlando, Florida, USA. The first IMR was held in 1992, and the conference series has been held annually since. Each year the IMR brings together researchers, developers, and application experts in a variety of disciplines, from all over the world, to present and discuss ideas on mesh generation and related topics. The technical papers in this volume present theoretical and novel ideas and algorithms with practical potential, as well as technical applications in science and engineering, geometric modeling, computer graphics and visualization.