Dietmar Hildenbrand's Books

The Power of Geometric Algebra Computing

For Engineering and Quantum Computing

By: Dietmar Hildenbrand

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The Power of Geometric Algebra Computing

For Engineering and Quantum Computing

By: Dietmar Hildenbrand

Geometric Algebra is a very powerful mathematical system for an easy and intuitive treatment of geometry, but the community working with it is still very small. The main goal of this book is to close this gap from a computing perspective in presenting the power of Geometric Algebra Computing for engineering applications and quantum computing. The Power of Geometric Algebra Computing is based on GAALOPWeb, a new user-friendly, web-based tool for the generation of optimized code for different programming languages as well as for the visualization of Geometric Algebra algorithms for a wide range of engineering applications. Key Features: Introduces a new web-based optimizer for Geometric Algebra algorithms Supports many programming languages as well as hardware Covers the advantages of high-dimensional algebras Includes geometrically intuitive support of quantum computing This book includes applications from the fields of computer graphics, robotics and quantum computing and will help students, engineers and researchers interested in really computing with Geometric Algebra.

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Page Count

189

Publisher

CRC Press

Published Date

ISBN 10

1000461238

ISBN 13

9781000461237

Introduction to Geometric Algebra Computing

By: Dietmar Hildenbrand

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Introduction to Geometric Algebra Computing

By: Dietmar Hildenbrand

From the Foreword: "Dietmar Hildenbrand's new book, Introduction to Geometric Algebra Computing, in my view, fills an important gap in Clifford's geometric algebra literature...I can only congratulate the author for the daring simplicity of his novel educational approach taken in this book, consequently combined with hands on computer based exploration. Without noticing, the active reader will thus educate himself in elementary geometric algebra algorithm development, geometrically intuitive, highly comprehensible, and fully optimized." --Eckhard Hitzer, International Christian University, Tokyo, Japan Geometric Algebra is a very powerful mathematical system for an easy and intuitive treatment of geometry, but the community working with it is still very small. The main goal of this book is to close this gap with an introduction to Geometric Algebra from an engineering/computing perspective. This book is intended to give a rapid introduction to computing with Geometric Algebra and its power for geometric modeling. From the geometric objects point of view, it focuses on the most basic ones, namely points, lines and circles. This algebra is called Compass Ruler Algebra, since it is comparable to working with a compass and ruler. The book explores how to compute with these geometric objects, and their geometric operations and transformations, in a very intuitive way. The book follows a top-down approach, and while it focuses on 2D, it is also easily expandable to 3D computations. Algebra in engineering applications such as computer graphics, computer vision and robotics are also covered.

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202

Publisher

CRC Press

Published Date

ISBN 10

1351648217

ISBN 13

9781351648219

Foundations of Geometric Algebra Computing

By: Dietmar Hildenbrand

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Foundations of Geometric Algebra Computing

By: Dietmar Hildenbrand

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.

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Page Count

217

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642317944

ISBN 13

9783642317941

Introduction to Geometric Algebra Computing

By: Dietmar Hildenbrand

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Introduction to Geometric Algebra Computing

By: Dietmar Hildenbrand

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Solve jigsaw puzzle

Age

Page Count

202

Publisher

CRC Press

Published Date

ISBN 10

1351648217

ISBN 13

9781351648219

Foundations of Geometric Algebra Computing

By: Dietmar Hildenbrand

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Foundations of Geometric Algebra Computing

By: Dietmar Hildenbrand

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N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

217

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642317944

ISBN 13

9783642317941

Book's by Dietmar Hildenbrand

The Power of Geometric Algebra Computing

The Power of Geometric Algebra Computing

Introduction to Geometric Algebra Computing

Introduction to Geometric Algebra Computing

Foundations of Geometric Algebra Computing

Foundations of Geometric Algebra Computing

Introduction to Geometric Algebra Computing

Introduction to Geometric Algebra Computing

Foundations of Geometric Algebra Computing

Foundations of Geometric Algebra Computing

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