Applied Geometry for Computer Graphics and CAD

Focusing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD).

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Author: Duncan Marsh

Publisher: Springer

ISBN: 9781846281099

Category: Computers

Page: 350

View: 163

Focusing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). Over 300 exercises are included, some new to this edition, and many of which encourage the reader to implement the techniques and algorithms discussed through the use of a computer package with graphing and computer algebra capabilities. A dedicated website also offers further resources and useful links.

A Sampler of Useful Computational Tools for Applied Geometry Computer Graphics and Image Processing

The book discusses fundamental tools in analytical geometry and linear algebra. It covers a wide range of topics

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Author: Daniel Cohen-Or

Publisher: CRC Press

ISBN: 9781498706308

Category: Computers

Page: 246

View: 196

A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing shows how to use a collection of mathematical techniques to solve important problems in applied mathematics and computer science areas. The book discusses fundamental tools in analytical geometry and linear algebra. It covers a wide range of topics

Computer Graphics and Geometric Modelling

Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modeling, this two-volume work covers implementation and theory in a thorough and systematic fashion.

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Author: Max K. Agoston

Publisher: Springer Science & Business Media

ISBN: 1852338180

Category: Computers

Page: 907

View: 625

Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modeling, this two-volume work covers implementation and theory in a thorough and systematic fashion. It covers the computer graphics part of the field of geometric modeling and includes all the standard computer graphics topics. The CD-ROM features two companion programs.

Handbook of Computer Aided Geometric Design

Applied Geometry for Computer Graphics and CAD. Springer-Verlag, 1999. M. Mortenson. Geometric Modeling. Wiley, 1985. L. Nachman. A note on control polygons ...

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Author: Gerald E. Farin

Publisher: Elsevier

ISBN: 9780444511041

Category: Computers

Page: 820

View: 321

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.

Advances in Computer Graphics IV

This fourth volume of Advances in Computer Graphics gathers together a selection of the tutorials presented at the EUROGRAPHICS annual conference in Nice, France, Septem ber 1988.

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Author: W.T. Hewitt

Publisher: Springer Science & Business Media

ISBN: 9783642840609

Category: Computers

Page: 248

View: 384

This fourth volume of Advances in Computer Graphics gathers together a selection of the tutorials presented at the EUROGRAPHICS annual conference in Nice, France, Septem ber 1988. The six contributions cover various disciplines in Computer Graphics, giving either an in-depth view of a specific topic or an updated overview of a large area. Chapter 1, Object-oriented Computer Graphics, introduces the concepts of object ori ented programming and shows how they can be applied in different fields of Computer Graphics, such as modelling, animation and user interface design. Finally, it provides an extensive bibliography for those who want to know more about this fast growing subject. Chapter 2, Projective Geometry and Computer Graphics, is a detailed presentation of the mathematics of projective geometry, which serves as the mathematical background for all graphic packages, including GKS, GKS-3D and PRIGS. This useful paper gives in a single document information formerly scattered throughout the literature and can be used as a reference for those who have to implement graphics and CAD systems. Chapter 3, GKS-3D and PHIGS: Theory and Practice, describes both standards for 3D graphics, and shows how each of them is better adapted in different typical applications. It provides answers to those who have to choose a basic 3D graphics library for their developments, or to people who have to define their future policy for graphics.

A Sampler of Useful Computational Tools for Applied Geometry Computer Graphics and Image Processing

The book discusses fundamental tools in analytical geometry and linear algebra. It covers a wide range of topics, from matrix decomposition to curvature analysis and principal component analysis to dimensionality reduction.

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Author: Daniel Cohen-Or

Publisher:

ISBN: 0429162758

Category: Electronic books

Page:

View: 636

A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing shows how to use a collection of mathematical techniques to solve important problems in applied mathematics and computer science areas. The book discusses fundamental tools in analytical geometry and linear algebra. It covers a wide range of topics, from matrix decomposition to curvature analysis and principal component analysis to dimensionality reduction. Written by a team of highly respected professors, the book can be used in a one-semester, intermediate-level course in computer science. It.

Hyperbolic Geometry

... J. Blackledge, P. Yardley Applied Geometry for Computer Graphics and CAD; Second Edition D. Marsh Basic Linear Algebra, Second Edition T.S. Blyth and ...

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Author: James W. Anderson

Publisher: Springer Science & Business Media

ISBN: 9781846282201

Category: Mathematics

Page: 276

View: 427

Thoroughly updated, featuring new material on important topics such as hyperbolic geometry in higher dimensions and generalizations of hyperbolicity Includes full solutions for all exercises Successful first edition sold over 800 copies in North America

Ship Hydrostatics and Stability

Applied Geometry for Computer Graphics and CAD. London: Springer. MCA (2010). Navigation safety: Guidance to the master for avoiding dangerous situations in ...

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Author: Adrian Biran

Publisher: Butterworth-Heinemann

ISBN: 9780080982908

Category: Technology & Engineering

Page: 414

View: 456

Ship Hydrostatics and Stability is a complete guide to understanding ship hydrostatics in ship design and ship performance, taking you from first principles through basic and applied theory to contemporary mathematical techniques for hydrostatic modeling and analysis. Real life examples of the practical application of hydrostatics are used to explain the theory and calculations using MATLAB and Excel. The new edition of this established resource takes in recent developments in naval architecture, such as parametric roll, the effects of non-linear motions on stability and the influence of ship lines, along with new international stability regulations. Extensive reference to computational techniques is made throughout and downloadable MATLAB files accompany the book to support your own hydrostatic and stability calculations. The book also includes definitions and indexes in French, German, Italian and Spanish to make the material as accessible as possible for international readers. Equips naval architects with the theory and context to understand and manage ship stability from the first stages of design through to construction and use. Covers the prerequisite foundational theory, including ship dimensions and geometry, numerical integration and the calculation of heeling and righting moments. Outlines a clear approach to stability modeling and analysis using computational methods, and covers the international standards and regulations that must be kept in mind throughout design work. Includes definitions and indexes in French, German, Italian and Spanish to make the material as accessible as possible for international readers.

Geometric Programming for Computer Aided Design

PLaSM blends the powerful algebraic approach to programming developed at IBM research, with a dimension-independent approach to geometric data structures and algorithms, This book shows that such geometric code can be surprisingly compact ...

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Author: Alberto Paoluzzi

Publisher: Wiley

ISBN: 0471899429

Category: Computers

Page: 800

View: 476

Geometric Programming is currently of interest in CAD (Computer Aided Design) and related areas such as computer graphics, modeling and animation, scientific simulation and robotics. A growing interest towards gemotric programming is forecast in the next few years with respect to market specific CAD applications (e.g. for architecture and mechanical CAD) and web-based collaborative design environments. PLaSM is a general purpose functional language to compute with geometry which the authors use throughout their text. The PLaSM language output produces VRML (Virtual Reality Modelling Language) files which are used to create virtual worlds. PLaSM blends the powerful algebraic approach to programming developed at IBM research, with a dimension-independent approach to geometric data structures and algorithms, This book shows that such geometric code can be surprisingly compact and easy to write. It begins by introducing the basic programming with PLaSM and algebraic and geometric foundations of shape modeling, the foundations of computer graphics, solid modeling and geometric modeling of manifolds follows and finally discusses the application of geometric programming. For each topic, the mathematics is given, together with the PLaSM implementation (usually with a few lines of readable code) and some worked examples. * Combines excellent coverage of the theory with well-developed examples * Numerous applications eg. scientific stimulation, robotics, CAD, Virtual Reality * Worked exercises for each topic * Uses PLaSM language (supplied) throughout to illustrate techniques * Supported with web presence Written for Industrial Practioners developing CAD software, mechanical engineers in Graphics, CAD and CAM, undergraduate and postgraduate courses in Computer Science and Mechanical Engineering,as well as programmers involved with developing visualization software.

Elementary Differential Geometry

... J. Blackledge, P. Yardley Applied Geometry for Computer Graphics and CAD, Second Edition D. Marsh Basic Linear Algebra, Second Edition T.S. Blyth and ...

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Author: Lecturer in Mathematics Andrew Pressley

Publisher: Springer Science & Business Media

ISBN: 1852331526

Category: Mathematics

Page: 332

View: 619

Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions, and with trying to answer them using calculus techniques. It is a subject that contains some of the most beautiful and profound results in mathematics, yet many of them are accessible to higher level undergraduates.Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces while keeping the prerequisites to an absolute minimum. Nothing more than first courses in linear algebra and multivariate calculus are required, and the most direct and straightforward approach is used at all times. Numerous diagrams illustrate both the ideas in the text and the examples of curves and surfaces discussed there.The second edition has extra exercises with solutions available to lecturers online. There is additional material on Map Colouring, Holonomy and geodesic curvature and various additions to existing sections.

Topics in Group Theory

... J. Blackledge, P. Yardley Applied Geometry for Computer Graphics and CAD D. Marsh Basic Linear Algebra T.S. Blyth and E.F. Robertson Basic Stochastic ...

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Author: Geoff Smith

Publisher: Springer Science & Business Media

ISBN: 9781447104612

Category: Mathematics

Page: 256

View: 201

The theory of groups is simultaneously a branch of abstract algebra and the study of symmetry. Designed for readers approaching the subject for the first time, this book reviews all the essentials. It recaps the basic definitions and results, including Lagranges Theorem, the isomorphism theorems and group actions. Later chapters include material on chain conditions and finiteness conditions, free groups and the theory of presentations. In addition, a novel chapter of "entertainments" demonstrates an assortment of results that can be achieved with the theoretical machinery.

Symmetries

... J. Blackledge, P. Yardley Applied Geometry for Computer Graphics and CAD D. Marsh Basic Linear Algebra T.S. Blyth and E.F. Robertson Basic Stochastic ...

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Author: D.L. Johnson

Publisher: Springer Science & Business Media

ISBN: 9781447102434

Category: Mathematics

Page: 198

View: 909

" ... many eminent scholars, endowed with great geometric talent, make a point of never disclosing the simple and direct ideas that guided them, subordinating their elegant results to abstract general theories which often have no application outside the particular case in question. Geometry was becoming a study of algebraic, differential or partial differential equations, thus losing all the charm that comes from its being an art." H. Lebesgue, Ler;ons sur les Constructions Geometriques, Gauthier Villars, Paris, 1949. This book is based on lecture courses given to final-year students at the Uni versity of Nottingham and to M.Sc. students at the University of the West Indies in an attempt to reverse the process of expurgation of the geometry component from the mathematics curricula of universities. This erosion is in sharp contrast to the situation in research mathematics, where the ideas and methods of geometry enjoy ever-increasing influence and importance. In the other direction, more modern ideas have made a forceful and beneficial impact on the geometry of the ancients in many areas. Thus trigonometry has vastly clarified our concept of angle, calculus has revolutionised the study of plane curves, and group theory has become the language of symmetry.

Sturm Liouville Theory and its Applications

... J. Blackledge, P. Yardley Applied Geometry for Computer Graphics and CAD, Second Edition D. Marsh Basic Linear Algebra, Second Edition T.S. Blyth and ...

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Author: Mohammed Al-Gwaiz

Publisher: Springer Science & Business Media

ISBN: 9781846289729

Category: Mathematics

Page: 264

View: 607

Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The text’s presentation follows a clear, rigorous mathematical style that is highly readable. The author first establishes the basic results of Sturm-Liouville theory and then provides examples and applications to illustrate the theory. The final two chapters, on Fourier and Laplace transformations, demonstrate the use of the Fourier series method for representing functions to integral representations.

Mathematics for Computer Graphics Applications

"Mathematics for Computer Graphics Applications is written for several audiences: for college students majoring in computer science, engineering, or applied mathematics and science, whose special interests are in computer graphics, CAD/CAM, ...

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Author: Michael E. Mortenson

Publisher: Industrial Press Inc.

ISBN: 083113111X

Category: Computers

Page: 354

View: 796

"Mathematics for Computer Graphics Applications is written for several audiences: for college students majoring in computer science, engineering, or applied mathematics and science, whose special interests are in computer graphics, CAD/CAM, geometric modeling, visualization, or related subjects; for industry and government on-the-job training of employees whose skills can be profitably expanded into these areas; and for the professional working in these fields in need of a comprehensive reference and skills refresher."--BOOK JACKET.

ICGG 2018 Proceedings of the 18th International Conference on Geometry and Graphics

This book gathers peer-reviewed papers presented at the 18th International Conference on Geometry and Graphics (ICGG), held in Milan, Italy, on August 3-7, 2018.

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Author: Luigi Cocchiarella

Publisher: Springer

ISBN: 9783319955889

Category: Mathematics

Page: 2300

View: 707

This book gathers peer-reviewed papers presented at the 18th International Conference on Geometry and Graphics (ICGG), held in Milan, Italy, on August 3-7, 2018. The spectrum of papers ranges from theoretical research to applications, including education, in several fields of science, technology and the arts. The ICGG 2018 mainly focused on the following topics and subtopics: Theoretical Graphics and Geometry (Geometry of Curves and Surfaces, Kinematic and Descriptive Geometry, Computer Aided Geometric Design), Applied Geometry and Graphics (Modeling of Objects, Phenomena and Processes, Applications of Geometry in Engineering, Art and Architecture, Computer Animation and Games, Graphic Simulation in Urban and Territorial Studies), Engineering Computer Graphics (Computer Aided Design and Drafting, Computational Geometry, Geometric and Solid Modeling, Image Synthesis, Pattern Recognition, Digital Image Processing) and Graphics Education (Education Technology Research, Multimedia Educational Software Development, E-learning, Virtual Reality, Educational Systems, Educational Software Development Tools, MOOCs). Given its breadth of coverage, the book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.

Computer aided Drawing and Design

This book is intended for engineers, computer scientists, managers and all those concerned with computer graphics, computer-aided design and computer-aided manufacture.

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Author: Davies

Publisher: Springer Science & Business Media

ISBN: 9789401130745

Category: Computers

Page: 328

View: 891

This book is intended for engineers, computer scientists, managers and all those concerned with computer graphics, computer-aided design and computer-aided manufacture. While it is primarily intended for students, lecturers and teachers, it will also appeal to those practising in industry. Its emphasis on applications will make it easier for those not currently concerned with computers to under stand the basic concepts of computer-aided graphics and design. In a previous text (Engineering Drawing and Computer Graphics), two of the authors introduced the basic principles of engineering drawing and showed how these were related to the fundamentals of computer graphics. In this new text, the authors attempt to give a basic understanding of the principles of computer graphics and to show how these affect the process of engineering drawing. This text therefore assumes that the reader already has a basic knowl edge of engineering drawing, and aims to help develop that understanding through the medium of computer graphics and by the use of a number of computer graphics exercises. The text starts by giving an overview of the basics of hardware and software for CAD and then shows how these principles are applied, in practice, in the use of a number of graphics packages of different levels of complexity. The use of a graphical database and the implications for computer-aided design and manufacture are also discussed. This book is unique in its applications approach to computer graphics.

Geometric Algebra for Computer Graphics

Filled with lots of clear examples and useful illustrations, this compact book provides an excellent introduction to geometric algebra for computer graphics.

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Author: John Vince

Publisher: Springer Science & Business Media

ISBN: 9781846289972

Category: Computers

Page: 256

View: 978

Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems. The author tackles this complex subject with inimitable style, and provides an accessible and very readable introduction. The book is filled with lots of clear examples and is very well illustrated. Introductory chapters look at algebraic axioms, vector algebra and geometric conventions and the book closes with a chapter on how the algebra is applied to computer graphics.

Advances in Computer Graphics IV

This fourth volume of Advances in Computer Graphics gathers together a selection of the tutorials presented at the EUROGRAPHICS annual conference in Nice, France, Septem ber 1988.

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Author: W T Hewitt

Publisher:

ISBN: 3642840612

Category: Computer graphics

Page: 268

View: 857

This volume is a selection of tutorials on active topics in computer graphics. The six contributions by leading researchers each give an in-depth view of a specific topic or an updated overview of a large area. The topics covered are: - object-oriented graphics - projective geometry - GKS-3D and PHIGS - special modellings - ray-tracing - rendering. A set of colour plates enhances the presentation.