Mathematics For Computer Graphics Applications
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Mathematics For Computer Graphics Applications
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Author : Michael E. Mortenson
language : en
Publisher: Industrial Press Inc.
Release Date : 1999
Mathematics For Computer Graphics Applications written by Michael E. Mortenson and has been published by Industrial Press Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.
"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.
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
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.
Vectors In Mathematics Of Computer Graphics Applications
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Author : Libby Ryan
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-01-25
Vectors In Mathematics Of Computer Graphics Applications written by Libby Ryan and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-25 with categories.
Perhaps the single most important mathematical device used in computer graphics and many engineering and physics applications is the vector. A vector is a geometric object of a sort, because, as we will soon see, it fits our notion of a displacement or motion. (We can think of displacement as a change in position. If we move a book from a shelf to a table, we have displaced it a specific distance and direction.) Vector methods offer a distinct advantage over traditional analytic geometry by minimizing our computational dependence on a specific coordinate system until the later stages of solving a problem. Vectors are direct descendants of complex numbers and are generalizations of hypercomplex numbers. Interpreting these numbers as directed line segments makes it easier for us to understand their properties and to apply them to practical problems.
Calculus For Computer Graphics
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Author : John Vince
language : en
Publisher: Springer
Release Date : 2019-03-12
Calculus For Computer Graphics written by John Vince and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-12 with Computers categories.
Students studying different branches of computer graphics have 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 2nd edition, the author extends the scope of the original book to include applications of calculus in the areas of arc-length parameterisation of curves, geometric continuity, tangent and normal vectors, and curvature. The author 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 over a hundred and seventy 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.
Essential Mathematics For Computer Graphics Fast
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Author : John Vince
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Essential Mathematics For Computer Graphics Fast written by John Vince 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 2013-06-29 with Computers categories.
Baffled by maths? Then don't give up hope. John Vince will show you how to understand many of the mathematical ideas used in computer animation, virtual reality, CAD, and other areas of computer graphics. In ten chapters you will rediscover - and hopefully discover for the first time a new way of understanding - the mathematical techniques required to solve problems and design computer programs for computer graphic applications. Each chapter explores a specific mathematical topic and takes you forward into more advanced areas until you are able to understand 3D curves and surface patches, and solve problems using vectors. After reading the book, you should be able to refer to more challenging books with confidence and develop a greater insight into the design of computer graphics software. Get to grips with mathematics fast ... - Numbers - Algebra - Trigonometry - Coordinate geometry - Transforms - Vectors - Curves and surfaces - Analytic geometry Essential Mathematics for Computer Graphics fast The book you will read once, and refer to over and over again!
Symmetry And Groups
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Author : Ethan Fraser
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-02-03
Symmetry And Groups written by Ethan Fraser and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-03 with categories.
Symmetry brings to mind decorative patterns, filings, and repetitive mirror-images. As a subject of study, it was once thought to be unrelated to serious mathematics and scientific thinking. Not until the 19th century did mathematicians discover a close relationship between analytical geometry and symmetry. Then they invented group theory to study the symmetry of mathematical objects.
Mathematical Optimization In Computer Graphics And Vision
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Author : Luiz Velho
language : en
Publisher: Morgan Kaufmann
Release Date : 2011-08-09
Mathematical Optimization In Computer Graphics And Vision written by Luiz Velho and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-09 with Computers categories.
Mathematical optimization is used in nearly all computer graphics applications, from computer vision to animation. This book teaches readers the core set of techniques that every computer graphics professional should understand in order to envision and expand the boundaries of what is possible in their work. Study of this authoritative reference will help readers develop a very powerful tool- the ability to create and decipher mathematical models that can better realize solutions to even the toughest problems confronting computer graphics community today. - Distills down a vast and complex world of information on optimization into one short, self-contained volume especially for computer graphics - Helps CG professionals identify the best technique for solving particular problems quickly, by categorizing the most effective algorithms by application - Keeps readers current by supplementing the focus on key, classic methods with special end-of-chapter sections on cutting-edge developments
Foundation Mathematics For Computer Science
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Author : John Vince
language : en
Publisher: Springer Nature
Release Date : 2023-01-24
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 2023-01-24 with Computers categories.
In this third edition of Foundation Mathematics for Computer Science, John Vince has reviewed and edited the second edition, and added chapters on systems of counting, area and volume. These subjects complement the existing chapters on visual mathematics, numbers, algebra, logic, combinatorics, probability, modular arithmetic, trigonometry, coordinate systems, determinants, vectors, complex numbers, 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 that 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 calculating area and volume using calculus. Readers will find that the author’s visual approach should greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. This third 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.
Mathematical Methods In Computer Graphics And Design
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Author : Institute of Mathematics and Its Applications
language : en
Publisher:
Release Date : 1980
Mathematical Methods In Computer Graphics And Design written by Institute of Mathematics and Its Applications and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Computers categories.