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Englisch
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Beschreibung
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 embraced by the computer 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 readers 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, Matrix Transforms for Computer Games and Animation 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 examples to illustrate their practical use.
Matrices and determinants were originally used to solve groups of simultaneous linear equations, and were subsequently embraced by the computer 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 readers 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, Matrix Transforms for Computer Games and Animation 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 examples to illustrate their practical use.
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 embraced by the computer 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 readers 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, Matrix Transforms for Computer Games and Animation 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 examples to illustrate their practical use.
Matrices and determinants were originally used to solve groups of simultaneous linear equations, and were subsequently embraced by the computer 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 readers 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, Matrix Transforms for Computer Games and Animation 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 examples to illustrate their practical use.
Über den Autor
Professor John Vince began working in computer graphics at Middlesex Polytechnic in 1968. His research activities centred on computer animation software and resulted in the PICASO and PRISM animation systems. Whilst at Middlesex, he designed the UK's first MSc course in Computer Graphics and developed a popular programme of short courses in computer animation for television designers. In 1986 he joined Rediffusion Simulation as Research Consultant and worked on the development of real-time computer systems for commercial flight simulators. In 1992 he was appointed Chief Scientist of Thomson Training Simulation Ltd. In 1995 he was appointed Professor of Digital Media at the National Centre for Computer Animation at Bournemouth University, and in 1999 he was made Head of Academic Group for Computer Animation. He was awarded a [...]. by Brunel University in recognition of his work in computer graphics. He has written and edited over 50 books on computer graphics, computer animation and virtual reality, including the following Springer titles:
Mathematics for Computer Graphics (2022)
Vector Analysis for Computer Graphics (2021)
Imaginary Mathematics for Computer Science (2018)
Calculus for Computer Graphics (2013)
Expanding the Frontiers of Visual Analytics and Visualization (2012)
Matrix Transforms for Computer Games and Animation (2012)
Quaternions for Computer Graphics (2011)
Rotation Transforms for Computer Graphics (2011)
Mathematics for Computer Graphics (2022)
Vector Analysis for Computer Graphics (2021)
Imaginary Mathematics for Computer Science (2018)
Calculus for Computer Graphics (2013)
Expanding the Frontiers of Visual Analytics and Visualization (2012)
Matrix Transforms for Computer Games and Animation (2012)
Quaternions for Computer Graphics (2011)
Rotation Transforms for Computer Graphics (2011)
Zusammenfassung
Assumes no prior knowledge of matrix notation
Chapters contain practical worked examples
Easy to read descriptions on how to apply matrix notation within the world of computer games and animation
Includes supplementary material: [...]
Includes supplementary material: [...]
Inhaltsverzeichnis
Preface.- Introduction.- Introduction to Matrix Notation.- Determinants.- Matrices.- Matrix Transforms.- Transforms.- Quaternions.- Conclusion.- Composite Point Rotation Sequences.- Index.
Details
| Erscheinungsjahr: | 2012 |
|---|---|
| Fachbereich: | Anwendungs-Software |
| Genre: | Importe, Informatik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xi
166 S. 45 s/w Illustr. 166 p. 45 illus. |
| ISBN-13: | 9781447143208 |
| ISBN-10: | 1447143205 |
| Sprache: | Englisch |
| Herstellernummer: | 86091309 |
| Einband: | Kartoniert / Broschiert |
| Autor: | Vince, John |
| Hersteller: |
Springer
Springer-Verlag London Ltd. |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 11 mm |
| Von/Mit: | John Vince |
| Erscheinungsdatum: | 28.06.2012 |
| Gewicht: | 0,283 kg |