书目名称 | Foundations of Geometric Algebra Computing |
编辑 | Dietmar Hildenbrand |
视频video | |
概述 | Defines geometric algebra computing as the geometrically intuitive development of algorithms with a focus on their efficient implementation.Author anticipates the forthcoming widespread adoption of pa |
丛书名称 | Geometry and Computing |
图书封面 |  |
描述 | .The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometric algebra to applications in computer vision, computer graphics, and robotics..This book is organized into three parts: in Part I the author focuses on the mathematical foundations; in Part II he explains the interactive handling of geometric algebra; and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book is written in a tutorial style and readers should gain exp |
出版日期 | Textbook 2013 |
关键词 | CLUCalc; GPGPU; animation; conformal geometric algebra (CGA); gaalop; geometric algebra; maple; molecular d |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-31794-1 |
isbn_softcover | 978-3-642-44572-9 |
isbn_ebook | 978-3-642-31794-1Series ISSN 1866-6795 Series E-ISSN 1866-6809 |
issn_series | 1866-6795 |
copyright | Springer-Verlag Berlin Heidelberg 2013 |