Mathematics for Computer Graphics / Undergraduate Topics in Computer Science (PDF)
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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.
- Calculus for Computer Graphics (2013)
- Matrix Transforms for Computer Games and Animation (2012)
- Expanding the Frontiers of Visual Analytics and Visualization (2012)
- Quaternions for Computer Graphics (2011)
- Rotation Transforms for Computer Graphics (2011)
- Autor: John Vince
- 2013, 4th ed. 2014, 391 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 1447162900
- ISBN-13: 9781447162902
- Erscheinungsdatum: 11.12.2013
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
- Dateiformat: PDF
- Größe: 6.51 MB
- Mit Kopierschutz
- Vorlesefunktion
“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)
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