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Rotation Transforms for Computer Graphics / John Vince.

By: Vince, John (John A.) [author.].
Material type: TextTextPublisher: London : Springer, [2011]Description: xvi, 232 pages : illustrations ; 25 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9780857291530 (alk. paper).Subject(s): Computer graphics. -- School of Pure and Applied SciencesDDC classification: T 385 .V56 2011
Contents:
Introduction -- Complex numbers -- Vectors -- Matrices -- Quaternions -- Multivectors -- Rotation transforms in the plane -- Frames of reference in the plane -- Rotation transforms in space -- Frames of reference in space -- Quaternion transforms in space -- Bivector rotors -- Conclusion.
Summary: "Rotation transforms are used everywhere in computer graphics from rotating pictures in editing software, to providing an arbitrary view of a 3D virtual environment. Although the former is a trivial operation, the latter can be a challenging task. Rotation Transforms for Computer Graphics covers a wide range of mathematical techniques used for rotating points and frames of reference in the plane and 3D space. It includes many worked examples and over 100 illustrations that make it essential reading for students, academics, researchers and professional practitioners. The book includes introductory chapters on complex numbers, matrices, quaternions and geometric algebra, and further chapters on how these techniques are employed in 2D and 3D computer graphics. In particular, matrix and bivector transforms are developed and evaluated to rotate points in a fixed frame of reference, and vice versa"--P. [4] of cover.
List(s) this item appears in: ICT | BBIT ICT
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Item type Current location Collection Call number Copy number Status Date due Barcode Item holds
Long Loan Book Long Loan Book Kirinyaga University Library
General Stacks
Non-fiction T 385 .V56 2011 (Browse shelf) Available KYU/2017/5635
Long Loan Book Long Loan Book Kirinyaga University Library
General Stacks
Non-fiction T 385 .V56 2011 (Browse shelf) Available KYU/2017/5636
Long Loan Book Long Loan Book Kirinyaga University Library
General Stacks
T 385 .V56 2011 (Browse shelf) 1 Available KYU/2021/8590
Total holds: 0

Includes bibliographical references (page 229) and index.

Introduction -- Complex numbers -- Vectors -- Matrices -- Quaternions -- Multivectors -- Rotation transforms in the plane -- Frames of reference in the plane -- Rotation transforms in space -- Frames of reference in space -- Quaternion transforms in space -- Bivector rotors -- Conclusion.

"Rotation transforms are used everywhere in computer graphics from rotating pictures in editing software, to providing an arbitrary view of a 3D virtual environment. Although the former is a trivial operation, the latter can be a challenging task. Rotation Transforms for Computer Graphics covers a wide range of mathematical techniques used for rotating points and frames of reference in the plane and 3D space. It includes many worked examples and over 100 illustrations that make it essential reading for students, academics, researchers and professional practitioners. The book includes introductory chapters on complex numbers, matrices, quaternions and geometric algebra, and further chapters on how these techniques are employed in 2D and 3D computer graphics. In particular, matrix and bivector transforms are developed and evaluated to rotate points in a fixed frame of reference, and vice versa"--P. [4] of cover.

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