Geometric Modeling

The Mathematics of Shapes

Author: Nikolay Golovanov

Publisher: CreateSpace

ISBN: 9781497473195

Category: Computer-aided design

Page: 348

View: 797

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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.
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Advances in geometric modeling

Author: Muhammad Sarfraz

Publisher: John Wiley & Sons Inc

ISBN: 9780470859377

Category: Mathematics

Page: 320

View: 9011

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"Advances in Geometric Modeling" illustrates the significance of Geometric Modeling in construction, design and manufacture, in not only the traditional industries such as automobile and aircraft manufacturing, but also in modern industry. This includes CAD/CAM, Computer Art, Entertainment, Education and Training, Visualization, robotics, medical imaging, visualisation, painting and media, and others. This volume willProvide a valuable source focusing on interdisciplinary methods and affiliate research in the area of geometric modeling.Provide the user community with a variety of advanced geometric modeling techniques and their applications.Collate and disseminate information from various disciplines such as; Curve and Surface Fitting, Geometric Algorithms, Visualization, Computational Geometry, Solid Modeling, Computer Graphics, Computer Aided Geometric Design, Splines, Deformation of Objects, Virtual Reality, Mesh Simplification, Multi-resolution, Texture Mapping, Reverse Engineering, etc.Provide a source for researchers and practitioners who are looking for the latest developments in the field of geometric modeling. This in-depth and well-illustrated book is an excellent reference for researchers, computer scientists, practicing engineers and those who seek state-of-the-art techniques and applications in geometric modeling.
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Geometric Modeling

Author: Michael E. Mortenson

Publisher: N.A

ISBN: N.A

Category: Computers

Page: 505

View: 9742

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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. Describes and compares all the important mathematical methods for modeling curves, surfaces, and solids. Prepares the reader for more advanced topics, such as 3D modeling, CAD/CAM, animation, and scientific visualization. Incorporates references throughout the text to direct the reader to more specialized treatments of the subjects. Carefully designed illustrations and exercises support each mathematical concept presented. Offers hundreds of exercises to test the readers comprehension.
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Geometric Modeling

Algorithms and New Trends

Author: Gerald E. Farin

Publisher: Society for Industrial & Applied

ISBN: 9780898712063

Category: Mathematics

Page: 399

View: 7846

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Advances in Multiresolution for Geometric Modelling

Author: Neil Dodgson,Michael S. Floater,Malcolm Sabin

Publisher: Springer Science & Business Media

ISBN: 3540268081

Category: Mathematics

Page: 436

View: 9734

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Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail. Applications include fast visualization and rendering as well as coding, compression, and digital transmission of 3D geometric objects. This book marks the culmination of the four-year EU-funded research project, Multiresolution in Geometric Modelling (MINGLE). The book contains seven survey papers, providing a detailed overview of recent advances in the various fields within multiresolution modelling, and sixteen additional research papers. Each of the seven parts of the book starts with a survey paper, followed by the associated research papers in that area. All papers were originally presented at the MINGLE 2003 workshop held at Emmanuel College, Cambridge, UK, 9-11 September 2003.
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Geometric Modeling and Algebraic Geometry

Author: Bert Jüttler,Ragni Piene

Publisher: Springer Science & Business Media

ISBN: 9783540721857

Category: Mathematics

Page: 231

View: 4315

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Geometric Modeling and Algebraic Geometry, though closely related, are traditionally represented by two almost disjoint scientific communities. Both fields deal with objects defined by algebraic equations, but the objects are studied in different ways. In 12 chapters written by leading experts, this book presents recent results which rely on the interaction of both fields. Some of these results have been obtained from a major European project in geometric modeling.
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Algebraic Geometry and Geometric Modeling

Author: Mohamed Elkadi,Bernard Mourrain,Ragni Piene

Publisher: Springer Science & Business Media

ISBN: 3540332758

Category: Mathematics

Page: 252

View: 4436

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This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.
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Geometric Modeling With Splines

An Introduction

Author: ELAINE AUTOR COHEN,RICHARD F AUTOR RIESENFELD,GERSHON AUTOR ELBER

Publisher: A K Peters Ltd

ISBN: 9781568811376

Category: Computers

Page: 616

View: 5405

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Written by researchers who have helped found and shape the field, this book is a definitive introduction to geometric modeling. The authors present all of the necessary techniques for curve and surface representations in computer-aided modeling with a focus on how the techniques are used in design. They achieve a balance between mathematical rigor and broad applicability. Appropriate for readers with a moderate degree of mathematical maturity, this book is suitable as an undergraduate or graduate text, or particularly as a resource for self-study.
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From Geometric Modeling to Shape Modeling

IFIP TC5 WG5.2 Seventh Workshop on Geometric Modeling: Fundamentals and Applications October 2–4, 2000, Parma, Italy

Author: Umberto Cugini,Michael Wozny

Publisher: Springer

ISBN: 0387354956

Category: Computers

Page: 244

View: 504

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IFIP Working Group 5.2 has organized a series of workshops aimed at presenting and discussing current issues and future perspectives of Geometric Modeling in the CAD environment. From Geometric Modeling to Shape Modeling comprises the proceedings of the seventh GEO workshop, which was sponsored by the International Federation for Information Processing (IFIP) and held in Parma, Italy in October 2000. The workshop looked at new paradigms for CAD including the evolution of geometric-centric CAD systems, modeling of non-rigid materials, shape modeling, geometric modeling and virtual prototyping, and new methods of interaction with geometric models. The seventeen included papers provide an interesting overview of the evolution of geometric centric modeling into shape modeling. Also included is an invited speaker paper, which discusses the foundation of the next generation of CAD systems, where shape and function enhance geometric descriptions. The main topics discussed in the book are: Theoretical foundation for solids and surfaces; Computational basis for geometric modeling; Methods of interaction with geometric models; Industrial and other applications of geometric modeling; New paradigms of geometric modeling for CAD; Shape modeling. From Geometric Modeling to Shape Modeling is essential reading for researchers, graduate and postgraduate students, systems developers of advanced computer-aided design and manufacturing systems, and engineers involved in industrial applications.
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