Foundations of Geometric Algebra Computing

Nonfiction, Computers, Advanced Computing, Engineering, Computer Vision, Science & Nature, Mathematics, Geometry, General Computing
Cover of the book Foundations of Geometric Algebra Computing by Dietmar Hildenbrand, Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Dietmar Hildenbrand ISBN: 9783642317941
Publisher: Springer Berlin Heidelberg Publication: December 31, 2012
Imprint: Springer Language: English
Author: Dietmar Hildenbrand
ISBN: 9783642317941
Publisher: Springer Berlin Heidelberg
Publication: December 31, 2012
Imprint: Springer
Language: English

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 experience with the associated freely available software packages and applications.

The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 experience with the associated freely available software packages and applications.

The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics.

More books from Springer Berlin Heidelberg

Cover of the book Aspects of Culture in Second Language Acquisition and Foreign Language Learning by Dietmar Hildenbrand
Cover of the book Supply Chain Management Under Fuzziness by Dietmar Hildenbrand
Cover of the book Kinder- und Jugendgynäkologie für die pädiatrische Praxis by Dietmar Hildenbrand
Cover of the book Stone in Architecture by Dietmar Hildenbrand
Cover of the book Neuropsychological Rehabilitation by Dietmar Hildenbrand
Cover of the book Decreasing Fuel Consumption and Exhaust Gas Emissions in Transportation by Dietmar Hildenbrand
Cover of the book Cell Cycle Control by Dietmar Hildenbrand
Cover of the book On the Limits of Constitutional Adjudication by Dietmar Hildenbrand
Cover of the book The Bech, Hamilton and Zung Scales for Mood Disorders: Screening and Listening by Dietmar Hildenbrand
Cover of the book Bio-inspiring Cyber Security and Cloud Services: Trends and Innovations by Dietmar Hildenbrand
Cover of the book The Tree Habit in Land Plants by Dietmar Hildenbrand
Cover of the book Immune Consequences of Trauma, Shock, and Sepsis by Dietmar Hildenbrand
Cover of the book Neural Fields by Dietmar Hildenbrand
Cover of the book Chinesische psychosomatische Medizin by Dietmar Hildenbrand
Cover of the book Mikroökonomik für Bachelorstudenten by Dietmar Hildenbrand
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy