Mathematics for Computer Graphics
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Beschreibung
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 in this updated and expanded fourth edition.
The first four chapters revise number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on vectors, transforms, interpolation, 3D curves and patches, analytic geometry, and barycentric coordinates. Following this, the reader is introduced to the relatively new topic of geometric algebra, and the last two chapters provide an introduction to differential and integral calculus, with an emphasis on geometry.
Mathematics for Computer Graphics covers all of the key areas of the subject, including:
- Number sets
- Algebra
- Trigonometry
- Coordinate systems
- Transforms
- Quaternions
- Interpolation
- Curves and surfaces
- Analytic geometry
- Barycentric coordinates
- Geometric algebra
- Differential calculus
- Integral calculus
This fourth edition contains over 120 worked examples and over 270 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, 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.
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 in this updated and expanded fourth edition.
The first four chapters revise number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on vectors, transforms, interpolation, 3D curves and patches, analytic geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new topic of geometric algebra, and the last two chapters provide an introduction to differential and integral calculus, with an emphasis on geometry.
Mathematics for Computer Graphics covers all of the key areas of the subject, including:
- Number sets
- Algebra
- Trigonometry
- Coordinate systems
- Transforms
- Quaternions
- Interpolation
- Curves and surfaces
- Analytic geometry
- Barycentric coordinates
- Geometric algebra
- Differential calculus
- Integral calculus
This fourth edition contains over 120 worked examples and over 270 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, 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.
One of the few student texts on introductory mathematics including a chapter on geometric algebra Written specifically for computer graphics students Covers a broad range of relevant mathematical topics Includes over 170 illustrations and many worked examples Takes the reader from humble introductory ideas through to some advanced concepts Includes supplementary material: sn.pub/extras
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John Vince
Themen in »Mathematics for Computer Graphics«
Computer Aided Design (CAD) Computer Animation Computer Games Computer Graphics Mathematic Applications in Computer Science
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From the book reviews:
“This book is undoubtedly a very well written book. The chapters are short, easy to follow and understand. … it is a neatly compiled book that many math enthusiasts may want to have on their bookshelves. … a really good book both technically as well as pedagogically.” (Leslie P. Piegl, zbMATH, Vol. 1295, 2014)
“The book’s 16 chapters cover a broad range of relevant mathematical topics. … The logics in the book are presented very clearly, and readers from all levels with an understanding of arithmetic, algebra, trigonometry, and geometry will find this book easy to follow. The worked examples are very helpful in practical projects as well. … this is a very useful book and I highly recommend it as a reference for those who are studying or working in computer graphics-related fields.” (Zhaoqiang Lai, Computing Reviews, August, 2014)()