Geometric algebra : an algebraic system for computer games and animation

著者

    • Vince, John (John A.)

書誌事項

Geometric algebra : an algebraic system for computer games and animation

John Vince

Springer, c2009

大学図書館所蔵 件 / 全6件

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

Geometric algebra is still treated as an obscure branch of algebra and most books have been written by competent mathematicians in a very abstract style. This restricts the readership of such books especially by programmers working in computer graphics, who simply want guidance on algorithm design. Geometric algebra provides a unified algebraic system for solving a wide variety of geometric problems. John Vince reveals the beauty of this algebraic framework and communicates to the reader new and unusual mathematical concepts using colour illustrations, tabulations, and easy-to-follow algebraic proofs. The book includes many worked examples to show how the algebra works in practice and is essential reading for anyone involved in designing 3D geometric algorithms.

目次

Products.- VectorProducts.- The Geometric Product.- Geometric Algebra.- Products in 2D.- Products in 3D.- Reflections and Rotations.- Applied Geometric Algebra.- Conclusion.

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