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020 a| 9781447143208 (pbk : acid-free paper);

020 a| 1447143205 (pbk : acid-free paper);

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050 00 a| T385b| .V5627 2012;

082 04 a| 006.62| 23;

100 1 a| Vince, Johnq| (John A.)=| ^A353014;

245 10 a| Matrix transforms for computer games and animationh| [electronic resource] /c| John Vince.;

260 a| London ;a| New York :b| Springer,c| [2012];

300 a| xi, 166 pages :b| illustrations ;c| 23 cm;

500 a| Includes index.;

505 0 a| Introduction to Matrix Notation -- Determinants -- Matrices -- D Matrix Transforms -- 3D Transforms -- Quaternions -- Conclusion.;

506 a| Available only to authorized users.;

520 a| Matrix transforms are ubiquitous within the world of computer graphics, where they have become an invaluable tool in a programmer's toolkit for solving everything from 2D image scaling to 3D rotation about an arbitrary axis. Virtually every software system and hardware graphics processor uses matrices to undertake operations such as scaling, translation, reflection and rotation. Nevertheless, for some newcomers to the world of computer games and animation, matrix notation can appear obscure and challenging. Matrices and determinants were originally used to solve groups of simultaneous linear equations, and were subsequently embrace by the compter graphics community to describe the geometric operations for manipulating two- and three-dimensional structures. Consequently, to place matrix notation within an historical context, the author provides reders with some useful background to their development, alongside determinants. Although it is assumed that the reader is familiar with everyday algebra and the solution of simultaneous linear equations, this book does not expect any prior knowledge of matrix notation. It includes chapters on matrix notation, determinants, matrices, 2D transforms, 3D transforms and quaternions, and includes many worked example to illustrate their practical use.--Publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Computer graphicsx| Mathematics.=| ^A991037;

650 0 a| Video gamesx| Programming.=| ^A535044;

650 0 a| Linear programming.=| ^A4102;

650 7 a| Computer gamesx| Programming.;

650 7 a| Computer graphicsx| Mathematics.;

650 7 a| Linear programming.;

655 0 a| Electronic books.=| ^A491897;

856 40 z| Full text available from Springer Booksu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-1-4471-4321-5;

856 40 z| Full text available from Springer Nature - Springer Computer Science eBooks 2012 English Internationalu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-1-4471-4321-5;

947 a| (OCoLC)ocn811554864;

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Matrix transforms for computer games and animation / John Vince.

Author/creator	Vince, John
Format	Electronic
Publication Info	London ; New York : Springer, [2012]
Description	xi, 166 pages : illustrations ; 23 cm
Supplemental Content	Full text available from Springer Books
Supplemental Content	Full text available from Springer Nature - Springer Computer Science eBooks 2012 English International
Subjects	Computer graphics--Mathematics. Video games--Programming. Linear programming.

Contents	Introduction to Matrix Notation -- Determinants -- Matrices -- D Matrix Transforms -- 3D Transforms -- Quaternions -- Conclusion.
Abstract	Matrix transforms are ubiquitous within the world of computer graphics, where they have become an invaluable tool in a programmer's toolkit for solving everything from 2D image scaling to 3D rotation about an arbitrary axis. Virtually every software system and hardware graphics processor uses matrices to undertake operations such as scaling, translation, reflection and rotation. Nevertheless, for some newcomers to the world of computer games and animation, matrix notation can appear obscure and challenging. Matrices and determinants were originally used to solve groups of simultaneous linear equations, and were subsequently embrace by the compter graphics community to describe the geometric operations for manipulating two- and three-dimensional structures. Consequently, to place matrix notation within an historical context, the author provides reders with some useful background to their development, alongside determinants. Although it is assumed that the reader is familiar with everyday algebra and the solution of simultaneous linear equations, this book does not expect any prior knowledge of matrix notation. It includes chapters on matrix notation, determinants, matrices, 2D transforms, 3D transforms and quaternions, and includes many worked example to illustrate their practical use.--Publisher.
General note	Includes index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2012942604
ISBN	9781447143208 (pbk : acid-free paper)
ISBN	1447143205 (pbk : acid-free paper)

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Library	Location	Call Number	Status	Item Actions
	Electronic Resources	Online Content Full text available from Springer Books Full text available from Springer Books	✔ Available

Matrix transforms for computer games and animation / John Vince.

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