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Geometric and Solid Modeling

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

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
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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.

Geometric Modeling

Geometric Modeling
Author: Hans Hagen
Publisher: Springer Science & Business Media
Total Pages: 291
Release: 2012-12-06
Genre: Computers
ISBN: 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.

Geometric Modeling

Geometric Modeling
Author: Michael E. Mortenson
Publisher:
Total Pages: 552
Release: 1997-02-05
Genre: Computers
ISBN:
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A comprehensive, up-to-date presentation of the indispensable core concepts of geometric modeling Now completely updated to include the most recent developments in the field, Geometric Modeling, Second Edition presents a comprehensive discussion of the core concepts of this subject. It describes and compares all the important mathematical methods for modeling curves, surfaces, and solids, and shows how to transform and assemble these elements into complex models. Written in a style free of the jargon of special applications, this unique book focuses on the essence of geometric modeling and treats it as a discipline in its own right. It integrates the three important functions of geometric modeling: to represent elementary forms (i.e., curves, surfaces, and solids), to shape and assemble these into more complex forms, and to determine concomitant derivative geometric elements (i.e., intersections, offsets, and fillets). With more than 300 illustrations, Geometric Modeling, Second Edition appeals to the reader's visual and intuitive skills in a way that makes it easier to understand its more abstract concepts. An extensive bibliography lists many supporting works, directing the reader to more specialized treatments of this subject. Geometric Modeling, Second Edition serves as an invaluable guide to computer graphics and CAD/CAM specialists, applications designers, scientific programmers, teachers, and students.

Geometric Modeling

Geometric Modeling
Author: Nikolay Golovanov
Publisher: Createspace Independent Publishing Platform
Total Pages: 0
Release: 2014-12-24
Genre: Computer-aided design
ISBN: 9781497473195
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"The book outlines methods used to construct curves, surfaces, and solids. It describes composition, principles of manipulation, and applications of geometric models. It has been written for university students and specialists in computer-aided design."--Abstract, p. 3.

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
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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.

Geometric Modeling for Scientific Visualization

Geometric Modeling for Scientific Visualization
Author: Guido Brunnett
Publisher: Springer Science & Business Media
Total Pages: 473
Release: 2013-04-17
Genre: Mathematics
ISBN: 3662074435
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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: 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
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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.

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
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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 Modelling

Geometric Modelling
Author: Fumihiko Kimura
Publisher: Springer
Total Pages: 374
Release: 2013-06-29
Genre: Computers
ISBN: 0387354905
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Geometric modelling has been an important and interesting subject for many years from the purely mathematical and computer science viewpoint, and also from the standpoint of engineering and various other applications, such as CAD/CAM, entertainment, animation, and multimedia. This book focuses on the interaction between the theoretical foundation of geometric modelling and practical applications in CAD and related areas. Geometric Modelling: Theoretical and Computational Basis towards Advanced CAD Applications starts with two position papers, discussing basic computational theory and practical system solutions. The well-organized seven review papers give a systematic overview of the current situation and deep insight for future research and development directions towards the reality of shape representation and processing. They discuss various aspects of important issues, such as geometric computation for space search and shape generation, parametric modelling, feature modelling, user interface for geometric modelling, geometric modelling for the Next Generation CAD, and geometric/shape standard. Other papers discuss features and new research directions in geometric modelling, solid modeling, free-form surface modeling, intersection calculation, mesh modeling and reverse engineering. They cover a wide range of geometric modelling issues to show the problem scope and the technological importance. Researchers interested in the current status of geometric modelling research and developments will find this volume to be an essential reference.