Mathematics for Computer Graphics

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 completely revised and expanded fifth edition.

The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on vectors, matrix algebra, transforms, interpolation, curves and patches, analytic geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new topic 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:

·        Algebra

·        Trigonometry

·        Coordinate systems

·        Quaternions

·        Matrix algebra

·        Geometric transforms

·        Curves and surfaces

·        Analytic geometry

·        Barycentric coordinates

·        Geometric algebra

·        Integral calculus

This fifth edition contains over 120 worked examples and over 320 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, 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.

The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on vectors, matrix algebra, transforms, interpolation, curves and patches, analytic geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new topic 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:

·        Algebra

·        Trigonometry

·        Coordinate systems

·        Quaternions

·        Matrix algebra

·        Geometric transforms

·        Curves and surfaces

·        Analytic geometry

·        Barycentric coordinates

·        Geometric algebra

·        Integral calculus

This fifth edition contains over 120 worked examples and over 320 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, 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.

Covers a broad range of relevant mathematical topics, from algebra to calculus

Includes over 320 colour illustrations and scores of worked examples

Takes the reader from humble introductory ideas through to some advanced concepts

One of the few student texts on introductory mathematics including a chapter on geometric algebra

Includes supplementary material: sn.pub/extras

Autor*in

John Vince

Themen in »Mathematics for Computer Graphics«

Barycentric Coordinates Computer Graphics Software Mathematical Techniques Transcendental Numbers Geometric Algebra

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“A broad range of mathematical topics is covered in the 18 chapters of this book. … I think 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, April, 2018)

“The book’s target audience is computer graphics students and professionals in this area. … the information is presented in a minimalist fashion and is very easy to digest. Highly recommended for its crispness and the quality of the material.” (Naga Narayanaswamy, Computing Reviews, July, 2018)

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