Rotation Transforms for Computer Graphics [recurso electrónico] / by John Vince.

Por: Vince, John [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: TextoTextoEditor: London : Springer London, 2011Descripción: XVI, 258p. 106 illus. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9780857291547Tema(s): Computer science | Computer graphics | Mathematics | Computer Science | Computer Graphics | Mathematics, generalFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 006.6 Clasificación LoC:T385Recursos en línea: Libro electrónicoTexto
Contenidos:
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 -- Appendix A: Composite Point Rotation Sequences -- Appendix B: Composite Frame Rotation Sequences -- Appendix C: The Four n-Square Algebras -- Index.
En: Springer eBooksResumen: 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.
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Tipo de ítem Biblioteca actual Colección Signatura Copia número Estado Fecha de vencimiento Código de barras
Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos T385 (Browse shelf(Abre debajo)) 1 No para préstamo 370500-2001

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 -- Appendix A: Composite Point Rotation Sequences -- Appendix B: Composite Frame Rotation Sequences -- Appendix C: The Four n-Square Algebras -- Index.

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.

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