Calculus For Computer Graphics
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Calculus For Computer Graphics
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Author : John Vince
language : en
Publisher: Springer Nature
Release Date : 2023-04-18
Calculus For Computer Graphics written by John Vince and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-18 with Computers categories.
Students studying different branches of computer graphics need to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces. And as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems. In this 3rd edition, the author extends the scope of the original book to include vector differential operators and differential equations and draws upon his experience in teaching mathematics to undergraduates to make calculus appear no more challenging than any other branch of mathematics. He introduces the subject by examining how functions depend upon their independent variables, and then derives the appropriate mathematical underpinning and definitions. This gives rise to a function’s derivative and its antiderivative, or integral. Using the idea of limits, the reader is introduced to derivatives and integrals of many common functions. Other chapters address higher-order derivatives, partial derivatives, Jacobians, vector-based functions, single, double and triple integrals, with numerous worked examples and almost two hundred colour illustrations. This book complements the author’s other books on mathematics for computer graphics and assumes that the reader is familiar with everyday algebra, trigonometry, vectors and determinants. After studying this book, the reader should understand calculus and its application within the world of computer graphics, games and animation.
Mathematics For Computer Graphics
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Author : John Vince
language : en
Publisher: Springer Nature
Release Date : 2022-04-26
Mathematics For Computer Graphics written by John Vince and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-26 with Computers categories.
John Vince explains a comprehensive range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, special effects, virtual reality, CAD and other areas of computer graphics in this completely revised and expanded sixth edition. The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on determinants, vectors, matrix algebra, complex numbers, geometric transforms, quaternion algebra, quaternions in space, interpolation, curves and patches, analytical geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new subject of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there is a chapter on worked examples. Mathematics for Computer Graphics covers all of the key areas of the subject, including: • Number sets • Algebra • Trigonometry • Complex numbers • Coordinate systems • Determinants • Vectors • Quaternions • Matrix algebra • Geometric transforms • Interpolation • Curves and surfaces • Analytic geometry • Barycentric coordinates • Geometric algebra • Differential calculus • Integral calculus This sixth edition contains approximately 150 worked examples and over 330 colour illustrations, which are central to the author’s descriptive writing style. Mathematics for Computer Graphics provides a sound understanding of the mathematics required for computer graphics software and setting the scene for further reading of more advanced books and technical research papers
Foundation Mathematics For Computer Science
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Author : John Vince
language : en
Publisher: Springer Nature
Release Date : 2020-03-17
Foundation Mathematics For Computer Science written by John Vince and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-17 with Computers categories.
In this second edition of Foundation Mathematics for Computer Science, John Vince has reviewed and edited the original book and written new chapters on combinatorics, probability, modular arithmetic and complex numbers. These subjects complement the existing chapters on number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus. During this journey, the author touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barrycentric coordinates, transfinite sets and prime numbers. John Vince describes a range of mathematical topics to provide a solid foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author’s visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. This second edition includes new, full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will help consolidate the understanding of abstract mathematical concepts. Whether you intend to pursue a career in programming, scientific visualisation, artificial intelligence, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.
Mathematics For Computer Graphics
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Author : John A. Vince
language : en
Publisher: Springer
Release Date : 2010
Mathematics For Computer Graphics written by John A. Vince and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computer graphics categories.
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. With plenty of worked examples, the book provides a sound understanding of the mathematics required for computer graphics, giving a fascinating insight into the design of computer graphics software, and setting the scene for further reading of more advanced books and technical research papers.
Introduction To The Mathematics Of Computer Graphics
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Author : Nathan Carter
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-12-31
Introduction To The Mathematics Of Computer Graphics written by Nathan Carter and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-31 with Mathematics categories.
This text, by an award-winning [Author];, was designed to accompany his first-year seminar in the mathematics of computer graphics. Readers learn the mathematics behind the computational aspects of space, shape, transformation, color, rendering, animation, and modeling. The software required is freely available on the Internet for Mac, Windows, and Linux. The text answers questions such as these: How do artists build up realistic shapes from geometric primitives? What computations is my computer doing when it generates a realistic image of my 3D scene? What mathematical tools can I use to animate an object through space? Why do movies always look more realistic than video games? Containing the mathematics and computing needed for making their own 3D computer-generated images and animations, the text, and the course it supports, culminates in a project in which students create a short animated movie using free software. Algebra and trigonometry are prerequisites; calculus is not, though it helps. Programming is not required. Includes optional advanced exercises for students with strong backgrounds in math or computer science. Instructors interested in exposing their liberal arts students to the beautiful mathematics behind computer graphics will find a rich resource in this text.
Computer Graphics
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Author :
language : en
Publisher: Academic Press
Release Date : 2014-05-19
Computer Graphics written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-19 with Computers categories.
The decades of the 1970s and 1980s were a very exciting period of discovery in the field of computer graphics. It was a time when new rendering algorithms, different modeling strategies, clever animation techniques,and significant advances in photorealism were being made. Complementing these software developments, hardware systems were dominated by raster technology and programmers had access to excellent workstations on which to develop their graphics systems.In the 1990s, incredible advances in computer graphics are far surpassing developments made during the last twenty years. Yesterdays computer graphics have given way to todays virtual reality. This volume brings together contributions from internationalexperts on the diverse, yet important, range of topics that impact the design and application of virtual environments. Topics covered include 3-D modeling; new approaches to rendering virtual environments; recent research into the problems of animating and visualizing virtual environments; applications for virtual reality systems; and simulation of complex behaviors.Computer Graphics: Developments in Virtual Environments provides a unique opportunity to examine current practice and expert thinking. It is essential reading for students, practitioners, researchers, or anyone else who wishes to find out more about this exciting area.Provides comprehensive coverage of the latest topics in computer graphics, virtual reality, and humancomputer interactionContributors are international experts in the fieldExamines many real-world applications in a wide variety of fields
Computer Graphics Using Java 2d And 3d
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Author : Hong Zhang
language : en
Publisher: Prentice Hall
Release Date : 2007
Computer Graphics Using Java 2d And 3d written by Hong Zhang and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Computer graphics categories.
This Java based graphics text introduces advanced graphic features to a student audience mostly trained in the Java language. Its accessible approach and in-depth coverage features the high-level Java 2D and Java 3D APIs, offering a presentation of 2D and 3D graphics without compromising the fundamentals of the subject.
Geometric Analysis And Computer Graphics
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Author : Paul Concus
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Geometric Analysis And Computer Graphics written by Paul Concus and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Instructional Application Of Computer Graphics For Use In Undergraduate Calculus
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Author : Steven Eugene Martin
language : en
Publisher:
Release Date : 1986
Instructional Application Of Computer Graphics For Use In Undergraduate Calculus written by Steven Eugene Martin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Essentials Of Discrete Mathematics
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Author : David J. Hunter
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2021-03-01
Essentials Of Discrete Mathematics written by David J. Hunter and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-01 with Mathematics categories.
Written for the one-term course, Essentials of Discrete Mathematics, Fourth Edition is designed to serve computer science and mathematics majors, as well as students from a wide range of other disciplines. The mathematical material is organized around five types of thinking: logical, relational, recursive, quantitative, and analytical. The final chapter, “Thinking Through Applications” looks at different ways that discrete math thinking can be applied. Applications are included throughout the text and are sourced from a variety of disciplines, including biology, economics, music, and more.