Advanced Methods for Geometric Modeling and Numerical Simulation
Advanced Methods for Geometric Modeling and Numerical Simulation

Author: Carlotta Giannelli

Publisher: Springer Nature

Published: 2019-09-18

Total Pages: 242

ISBN-13: 3030273318

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This book gathers selected contributions presented at the INdAM Workshop “DREAMS”, held in Rome, Italy on January 22−26, 2018. Addressing cutting-edge research topics and advances in computer aided geometric design and isogeometric analysis, it covers distinguishing curve/surface constructions and spline models, with a special focus on emerging adaptive spline constructions, fundamental spline theory and related algorithms, as well as various aspects of isogeometric methods, e.g. efficient quadrature rules and spectral analysis for isogeometric B-spline discretizations. Applications in finite element and boundary element methods are also discussed. Given its scope, the book will be of interest to both researchers and graduate students working in these areas.

Geometric Modelling
Geometric Modelling

Author: R. Albrecht

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 360

ISBN-13: 3709175844

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Experts from university and industry are presenting new technologies for solving industrial problems and giving many important and practicable impulses for new research. Topics explored include NURBS, product engineering, object oriented modelling, solid modelling, surface interrogation, feature modelling, variational design, scattered data algorithms, geometry processing, blending methods, smoothing and fairing algorithms, spline conversion. This collection of 24 articles gives a state-of-the-art survey of the relevant problems and issues in geometric modelling.

Geometric Modeling
Geometric Modeling

Author: Hans Hagen

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 291

ISBN-13: 3642764045

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This book is based on lectures presented at an international workshop on geometric modeling held at Hewlett Packard GmbH in Boblingen, FRG, in June 1990. International experts from academia and industry were selected to speak on the most interesting topics in geometric modeling. The resulting papers, published in this volume, give a state-of-the-art survey of the relevant problems and issues. The following topics are discussed: - Methods for constructing surfaces on surfaces: four different solutions to the multidimen sional problem of constructing an interpolant from surface data are provided. - Surfaces in solid modeling: current results on the implementation of free-fonn solids in three well established solid models are reviewed. - Box splines and applications: an introduction to box spline methods for the representation of surfaces is given. Basic properties of box splines are derived, and refinement and evaluation methods for box splines are presented in detail. Shape preserving properties, the construction of non-rectangular box spline surfaces, applications to surface modeling, and imbedding problems, are discussed. - Advanced computer graphics techniques for volume visualization: the steps to be executed in the visualization process of volume data are described and tools are discussed that assist in handling this data. - Rational B-splines: an introduction to the representation of curves and surfaces using rational B-splines is given, together with a critical evaluation of their potential for industrial application.

CIRP Annals
CIRP Annals

Author: International Institution for Production Engineering Research

Publisher:

Published: 1991

Total Pages: 592

ISBN-13:

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CAD Tools and Algorithms for Product Design
CAD Tools and Algorithms for Product Design

Author: P. Brunet

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 300

ISBN-13: 3662041235

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A look at important new tools and algorithms for future product modeling systems, based on a seminar at the International Conference and Research Center for Computer Science, Schloß Dagstuhl, Germany, presented by internationally recognised experts in CAD technology.

Geometric Modeling
Geometric Modeling

Author: Michael E. Mortenson

Publisher:

Published: 2006

Total Pages: 536

ISBN-13:

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Completely updated to include the most recent developments in the field, the third edition like the two previous editions, emphasizes clarity and thoroughness in the mathematical development of its subjects. It is written in a style that is free of jargon of special applications, while integrating the three important functions of geometric modeling: to represent elementary forms (curves, surfaces, and solids), to shape and assemble these into complex forms, and to determine geometric properties and relationships. With hundreds of illustrations, this unique book appeals to the readers visual and intuitive skills in a way that makes it easier to understand its more abstract concepts. Upper-division and graduate students, teachers, and professionals studying, teaching or practicing geometric modeling, 3D modeling, computational geometry, computer graphics applications, animation, CAD/CAM, and related subjects will find this to be a very valuable reference. Introduction. Curves. Hermite Curves. Bezier Curvers. B-Spline Curves. Surfaces. Bicubic Hermite Surfaces. Bezier Surfaces. B-Spline Surfaces. Solids. Complex Model Construction. Geometric Properties. Answers to Selected Exercises. Index.

Advanced CAD/CAM Systems
Advanced CAD/CAM Systems

Author: René Soenen

Publisher: Springer

Published: 2016-01-09

Total Pages: 273

ISBN-13: 0387348344

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This book provides up-to-date information about the promising use of feature technology for integrating computer-aided-design with subsequent applications. The book consists of 20 articles based upon the international IFIP conference on this topic held in Valenciennes, France in May 1994.

Geometric Modeling and Mesh Generation from Scanned Images
Geometric Modeling and Mesh Generation from Scanned Images

Author: Yongjie Jessica Zhang

Publisher: CRC Press

Published: 2016-04-06

Total Pages: 352

ISBN-13: 1482227770

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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.

Geometric Methods and Applications
Geometric Methods and Applications

Author: Jean Gallier

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 584

ISBN-13: 1461301378

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As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book fills the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics that do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine, projective, computational, and Euclidean geometry, basics of differential geometry and Lie groups, and explores many of the practical applications of geometry. Some of these include computer vision, efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

Encyclopedia of Library and Information Science
Encyclopedia of Library and Information Science

Author: Allen Kent

Publisher: CRC Press

Published: 2000-12-21

Total Pages: 440

ISBN-13: 9780824720698

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This encyclopaedia of library and information science explores business information visualization. It offers guidance for research and practice to Virtual Reality Modelling Language (VRML).