Geometric and Solid Modeling

Geometric and Solid Modeling
Author: Christoph Martin Hoffmann
Publisher: Morgan Kaufmann Publishers
Total Pages: 374
Release: 1989
Genre: Computers
ISBN:

It is the view of the author that the streams of geometric and solid modeling are converging, and that as the importance of this convergence is anticipated and recognized, the need for the development of techniques to bridge the gap between the two becomes critical. This book is devoted to filling that need. "Geometric and Solid Modeling" deals with the concepts and tools needed to design and implement solid-modeling systems and their infrastructure and substrata, making this information remarkably accessible--to the novice as well as to the experienced designer. The essential algorithms and the underlying theory needed to design these systems are given primary emphasis. Techniques for the study and implementation of geometric algorithms are taken from computer science, numerical analysis, and symbolic computation, among other areas. Special attention is given to geometric investigations of implicit and parametric surfaces, with the focal point being the possible integration of geometric and solid modeling.

Solid Modeling and Applications

Solid Modeling and Applications
Author: Dugan Um
Publisher: Springer
Total Pages: 339
Release: 2018-03-20
Genre: Technology & Engineering
ISBN: 3319745948

This updated, second edition provides readers with an expanded treatment of the FEM as well as new information on recent trends in rapid prototyping technology. The new edition features more descriptions, exercises, and questions within each chapter. In addition, more in-depth surface theory has been introduced in section four, with particular emphasis in surface theory. Promising cutting edge technologies in the area of rapid prototyping are introduced in section seven, MATLAB-based FEM analysis has been added in section eight, and development of the plan stress and plane strain stiffness equations are introduced as a new chapter. Revised and updated based on student feedback, Solid Modeling and Applications: Rapid Prototyping, CAD and CAE Theory is ideal for university students in various engineering disciplines as well as design engineers involved in product design, analysis, and validation. It equips them with an understanding of the theory and essentials and also with practical skills needed to apply this understanding in real world design and manufacturing settings.

Geometric Modeling: Techniques, Applications, Systems and Tools

Geometric Modeling: Techniques, Applications, Systems and Tools
Author: Muhammad Sarfraz
Publisher: Springer Science & Business Media
Total Pages: 449
Release: 2013-03-09
Genre: Computers
ISBN: 9401716897

Computer Aided techniques, Applications, Systems and tools for Geometric Modeling are extremely useful in a number of academic and industrial settings. Specifically, Computer Aided Geometric Modeling (CAGM) plays a significant role in the construction of - signing and manufacturing of various objects. In addition to its cri- cal importance in the traditional fields of automobile and aircraft manufacturing, shipbuilding, and general product design, more - cently, the CAGM methods have also proven to be indispensable in a variety of modern industries, including computer vision, robotics, medical imaging, visualization, and even media. This book aims to provide a valuable source, which focuses on - terdisciplinary methods and affiliate research in the area. It aims to provide the user community with a variety of Geometric Modeling techniques, Applications, systems and tools necessary for various real life problems in the areas such as: Font Design Medical Visualization Scientific Data Visualization Archaeology Toon Rendering Virtual Reality Body Simulation It also aims to collect and disseminate information in various dis- plines including: Curve and Surface Fitting Geometric Algorithms Scientific Visualization Shape Abstraction and Modeling Intelligent CAD Systems Computational Geometry Solid Modeling v Shape Analysis and Description Industrial Applications The major goal of this book is to stimulate views and provide a source where researchers and practitioners can find the latest dev- opments in the field of Geometric Modeling.

Geometric Modeling for Scientific Visualization

Geometric Modeling for Scientific Visualization
Author: Guido Brunnett
Publisher: Springer Science & Business Media
Total Pages: 512
Release: 2003-11-17
Genre: Mathematics
ISBN: 9783540401162

Geometric Modeling and Scientific Visualization are both established disciplines, each with their own series of workshops, conferences and journals. But clearly both disciplines overlap; this observation led to the idea of composing a book on Geometric Modeling for Scientific Visualization.

Geometric Modeling and Mesh Generation from Scanned Images

Geometric Modeling and Mesh Generation from Scanned Images
Author: Yongjie Jessica Zhang
Publisher: CRC Press
Total Pages: 352
Release: 2016-04-06
Genre: Computers
ISBN: 1482227770

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.

Theory and Practice of Geometric Modeling

Theory and Practice of Geometric Modeling
Author: Wolfgang Straßer
Publisher: Springer Science & Business Media
Total Pages: 534
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 3642615422

This book is a result of the lectures and discussions during the conference "Theory and Practice of Geometric Modeling". The event has been organized by the Wilhelm-Schickard-Institut fiir Informatik, Universitat Tiibingen and took place at the Heinrich-Fabri-Institut in Blaubeuren from October 3 to 7, 1988. The conference brought together leading experts from academic and industrial research institutions, CAD system developers and experien ced users to exchange their ideas and to discuss new concepts and future directions in geometric modeling. The main intention has been to bridge the gap between theoretical results, performance of existing CAD systems and the real problems of users. The contents is structured in five parts: A Algorithmic Aspects B Surface Intersection, Blending, Ray Tracing C Geometric Tools D Different Representation Schemes in Solid Modeling E Product Modeling in High Level Specifications The material presented in this book reflects the current state of the art in geometric modeling and should therefore be of interest not only to university and industry researchers, but also to system developers and practitioners who wish to keep up to date on recent advances and new concepts in this rapidly expanding field. The editors express their sincere appreciation to the contributing authors, and to the members of the program committee, W. Boehm, J. Hoschek, A. Massabo, H. Nowacki, M. Pratt, J. Rossignac, T. Sederberg and W. Tiller, for their close cooperation and their time and effort that made the conference and this book a success.

Computer Graphics and Geometric Modeling

Computer Graphics and Geometric Modeling
Author: David Salomon
Publisher: Springer Science & Business Media
Total Pages: 862
Release: 2012-12-06
Genre: Computers
ISBN: 1461215048

A book for those interested in how modern graphics programs work and how they can generate realistic-looking objects. It emphasises the mathematics behind computer graphics, most of which is included in an appendix. The main topics covered are: scan conversion methods; selecting the best pixels for generating lines, circles and other objects; geometric transformations and projections; translations, rotations, moving in 3D, perspective projections, curves and surfaces; construction, wire-frames, rendering, normals; CRTs, antialiasing, animation, colour, perception, polygons, compression. With its numerous illustrative examples and exercises, the book is ideal for a two-semester course for advanced undergraduates or graduates, while also making a fine reference for professionals in the field.

An Integrated Introduction to Computer Graphics and Geometric Modeling

An Integrated Introduction to Computer Graphics and Geometric Modeling
Author: Ronald Goldman
Publisher: CRC Press
Total Pages: 592
Release: 2009-07-14
Genre: Computers
ISBN: 1439803358

Taking a novel, more appealing approach than current texts, An Integrated Introduction to Computer Graphics and Geometric Modeling focuses on graphics, modeling, and mathematical methods, including ray tracing, polygon shading, radiosity, fractals, freeform curves and surfaces, vector methods, and transformation techniques. The author begins with f

Handbook of Computer Aided Geometric Design

Handbook of Computer Aided Geometric Design
Author: G. Farin
Publisher: Elsevier
Total Pages: 849
Release: 2002-08-13
Genre: Computers
ISBN: 0444511040

This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering. This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposure to this subject.

Shape Interrogation for Computer Aided Design and Manufacturing

Shape Interrogation for Computer Aided Design and Manufacturing
Author: Nicholas M. Patrikalakis
Publisher: Springer Science & Business Media
Total Pages: 428
Release: 2002-02-14
Genre: Computers
ISBN: 9783540424543

Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. The authors focus on shape interrogation of geometric models bounded by free-form surfaces. Free-form surfaces, also called sculptured surfaces, are widely used in the bodies of ships, automobiles and aircraft, which have both functionality and attractive shape requirements. Many electronic devices as well as consumer products are designed with aesthetic shapes, which involve free-form surfaces. This book provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, geodesics, and offset curves and surfaces. This book will be of interest both to graduate students and professionals.