Geometric Analysis And Computer Graphics

Author : Paul Concus,Robert Finn,David A. Hoffman
Publisher : Springer Science & Business Media
Page : 213 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461397113

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Geometric Analysis and Computer Graphics by Paul Concus,Robert Finn,David A. Hoffman Pdf

This volume derives from a workshop on differential geometry, calculus of vari ations, and computer graphics at the Mathematical Sciences Research Institute in Berkeley, May 23-25, 1988. The meeting was structured around principal lectures given by F. Almgren, M. Callahan, J. Ericksen, G. Francis, R. Gulliver, P. Hanra han, J. Kajiya, K. Polthier, J. Sethian, I. Sterling, E. L. Thomas, and T. Vogel. The divergent backgrounds of these and the many other participants, as reflected in their lectures at the meeting and in their papers presented here, testify to the unifying element of the workshop's central theme. Any such meeting is ultimately dependent for its success on the interest and motivation of its participants. In this respect the present gathering was especially fortunate. The depth and range of the new developments presented in the lectures and also in informal discussion point to scientific and technological frontiers be ing crossed with impressive speed. The present volume is offered as a permanent record for those who were present, and also with a view toward making the material available to a wider audience than were able to attend.

Author : Paul Concus,Robert Finn,David A. Hoffman,Mathematical Sciences Research Institute (Berkeley, Calif.)
Publisher : Unknown
Page : 203 pages
File Size : 55,5 Mb
Release : 1991
Category : Calculus of variations
ISBN : 3540974024

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Geometric Analysis and Computer Graphics by Paul Concus,Robert Finn,David A. Hoffman,Mathematical Sciences Research Institute (Berkeley, Calif.) Pdf

Author : Max K. Agoston
Publisher : Springer Science & Business Media
Page : 960 pages
File Size : 43,7 Mb
Release : 2005-01-04
Category : Computers
ISBN : 1852338180

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Computer Graphics and Geometric Modelling by Max K. Agoston Pdf

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.

Author : John Vince
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 51,8 Mb
Release : 2008-04-21
Category : Computers
ISBN : 9781846289965

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Geometric Algebra for Computer Graphics by John Vince Pdf

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.

Author : Philip Schneider,David H. Eberly
Publisher : Elsevier
Page : 1053 pages
File Size : 50,9 Mb
Release : 2002-10-10
Category : Computers
ISBN : 9780080478029

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Geometric Tools for Computer Graphics by Philip Schneider,David H. Eberly Pdf

Do you spend too much time creating the building blocks of your graphics applications or finding and correcting errors? Geometric Tools for Computer Graphics is an extensive, conveniently organized collection of proven solutions to fundamental problems that you'd rather not solve over and over again, including building primitives, distance calculation, approximation, containment, decomposition, intersection determination, separation, and more. If you have a mathematics degree, this book will save you time and trouble. If you don't, it will help you achieve things you may feel are out of your reach. Inside, each problem is clearly stated and diagrammed, and the fully detailed solutions are presented in easy-to-understand pseudocode. You also get the mathematics and geometry background needed to make optimal use of the solutions, as well as an abundance of reference material contained in a series of appendices. Features Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors. Covers problems relevant for both 2D and 3D graphics programming. Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you. Provides the math and geometry background you need to understand the solutions and put them to work. Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode. Resources associated with the book are available at the companion Web site www.mkp.com/gtcg. * Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors.* Covers problems relevant for both 2D and 3D graphics programming.* Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you.* Provides the math and geometry background you need to understand the solutions and put them to work.* Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode.* Resources associated with the book are available at the companion Web site www.mkp.com/gtcg.

Author : Reinhard Klette,Azriel Rosenfeld
Publisher : Elsevier
Page : 675 pages
File Size : 53,5 Mb
Release : 2004-09-04
Category : Computers
ISBN : 9780080477268

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Digital Geometry by Reinhard Klette,Azriel Rosenfeld Pdf

Digital geometry is about deriving geometric information from digital pictures. The field emerged from its mathematical roots some forty-years ago through work in computer-based imaging, and it is used today in many fields, such as digital image processing and analysis (with applications in medical imaging, pattern recognition, and robotics) and of course computer graphics. Digital Geometry is the first book to detail the concepts, algorithms, and practices of the discipline. This comphrehensive text and reference provides an introduction to the mathematical foundations of digital geometry, some of which date back to ancient times, and also discusses the key processes involved, such as geometric algorithms as well as operations on pictures. *A comprehensive text and reference written by pioneers in digital geometry, image processing and analysis, and computer vision*Provides a collection of state-of-the-art algorithms for a wide variety of geometrical picture analysis tasks, including extracting data from digital images and making geometric measurements on the data*Includes exercises, examples, and references to related or more advanced work

Author : John A. Vince
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 42,8 Mb
Release : 2010-01-26
Category : Computers
ISBN : 9781849960236

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Mathematics for Computer Graphics by John A. Vince Pdf

John Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD, and other areas of computer graphics. Covering all the mathematical techniques required to resolve geometric problems and design computer programs for computer graphic applications, each chapter explores a specific mathematical topic prior to moving forward into the more advanced areas of matrix transforms, 3D curves and surface patches. Problem-solving techniques using vector analysis and geometric algebra are also discussed. All the key areas are covered including: Numbers, Algebra, Trigonometry, Coordinate geometry, Transforms, Vectors, Curves and surfaces, Barycentric coordinates, Analytic geometry. Plus – and unusually in a student textbook – a chapter on geometric algebra is included.

Author : John Vince
Publisher : Springer Science & Business Media
Page : 260 pages
File Size : 54,6 Mb
Release : 2007-05-15
Category : Computers
ISBN : 9781846288043

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Vector Analysis for Computer Graphics by John Vince Pdf

This book is a complete introduction to vector analysis, especially within the context of computer graphics. The author shows why vectors are useful and how it is possible to develop analytical skills in manipulating vector algebra. Even though vector analysis is a relatively recent development in the history of mathematics, it has become a powerful and central tool in describing and solving a wide range of geometric problems. The book is divided into eleven chapters covering the mathematical foundations of vector algebra and its application to, among others, lines, planes, intersections, rotating vectors, and vector differentiation.

Author : Ronald Goldman
Publisher : CRC Press
Page : 592 pages
File Size : 43,8 Mb
Release : 2009-07-14
Category : Computers
ISBN : 9781439803356

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An Integrated Introduction to Computer Graphics and Geometric Modeling by Ronald Goldman Pdf

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

Author : Daniel Cohen-Or,Chen Greif,Tao Ju,Niloy J. Mitra,Ariel Shamir,Olga Sorkine-Hornung,Hao (Richard) Zhang
Publisher : CRC Press
Page : 238 pages
File Size : 48,9 Mb
Release : 2015-05-21
Category : Computers
ISBN : 9781498706308

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A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing by Daniel Cohen-Or,Chen Greif,Tao Ju,Niloy J. Mitra,Ariel Shamir,Olga Sorkine-Hornung,Hao (Richard) Zhang Pdf

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

Author : David Salomon
Publisher : Springer Science & Business Media
Page : 862 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461215042

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Computer Graphics and Geometric Modeling by David Salomon Pdf

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.

Author : Duncan Marsh
Publisher : Springer
Page : 350 pages
File Size : 54,6 Mb
Release : 2006-03-30
Category : Computers
ISBN : 9781846281099

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Applied Geometry for Computer Graphics and CAD by Duncan Marsh Pdf

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.

Author : John Vince
Publisher : Springer
Page : 342 pages
File Size : 41,7 Mb
Release : 2006-01-16
Category : Computers
ISBN : 9781846281167

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Geometry for Computer Graphics by John Vince Pdf

A complete overview of the geometry associated with computer graphics that provides everything a reader needs to understand the topic. Includes a summary hundreds of formulae used to solve 2D and 3D geometric problems; worked examples; proofs; mathematical strategies for solving geometric problems; a glossary of terms used in geometry.

Author : Max K. Agoston
Publisher : Springer Science & Business Media
Page : 908 pages
File Size : 54,8 Mb
Release : 2005-12-06
Category : Computers
ISBN : 9781846281082

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Computer Graphics and Geometric Modelling by Max K. Agoston Pdf

Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion. Computer Graphics and Geometric Modelling: Implementation and Algorithms, covers the computer graphics part of the field of geometric modelling and includes all the standard computer graphics topics. The first part deals with basic concepts and algorithms and the main steps involved in displaying photorealistic images on a computer. The second part covers curves and surfaces and a number of more advanced geometric modelling topics including intersection algorithms, distance algorithms, polygonizing curves and surfaces, trimmed surfaces, implicit curves and surfaces, offset curves and surfaces, curvature, geodesics, blending etc. The third part touches on some aspects of computational geometry and a few special topics such as interval analysis and finite element methods. The volume includes two companion programs.

Author : Brian A. Barsky
Publisher : Springer
Page : 154 pages
File Size : 44,5 Mb
Release : 2013-12-20
Category : Computers
ISBN : 9783642722929

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Computer Graphics and Geometric Modeling Using Beta-splines by Brian A. Barsky Pdf