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Mathematics for Computer Graphics / by John Vince.

SpringerLink Books Computer Science (2011-2024) Available online

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Format:
Book
Author/Creator:
Vince, John (John A.), author.
Contributor:
SpringerLink (Online service)
Series:
Computer Science (Springer-11645)
Undergraduate topics in computer science 1863-7310
Undergraduate Topics in Computer Science, 1863-7310
Language:
English
Subjects (All):
Computer graphics.
Computer science--Mathematics.
Computer science.
Computer Graphics.
Mathematical Applications in Computer Science.
Local Subjects:
Computer Graphics.
Mathematical Applications in Computer Science.
Physical Description:
1 online resource (XVII, 391 pages) : 282 illustrations.
Edition:
Fourth edition 2014.
Contained In:
Springer eBooks
Place of Publication:
London : Springer London : Imprint: Springer, 2014.
System Details:
text file PDF
Summary:
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.
Contents:
Preface
Mathematics
Numbers
Algebra
Trigonometry
Coordinate Systems
Vector
Transforms
Interpolation
Curves and Patches
Analytic Geometry
Barycentric Coordinates
Geometric Algebra
Calculus: Derivatives
Calculus: Integration
Worked Examples
Conclusion
Index.
Other Format:
Printed edition:
ISBN:
978-1-4471-6290-2
9781447162902
Access Restriction:
Restricted for use by site license.

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