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Title: Foundations of Geometric Algebra Computing | Springer Nature Link

Open Graph Title: Foundations of Geometric Algebra Computing

Description: 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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Geometric Algebra of Computer Vision https://link.springer.com/10.1007/978-3-319-74830-6_12?fromPaywallRec=true
Geometric Algebra Computing for Heterogeneous Systems https://link.springer.com/10.1007/s00006-016-0694-6?fromPaywallRec=true
Geometric Algebra for Modeling in Robotic Physics https://link.springer.com/10.1007/978-3-030-34978-3_1?fromPaywallRec=true
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Mathematical Introductionhttps://link.springer.com/chapter/10.1007/978-3-642-31794-1_2
Conformal Geometric Algebrahttps://link.springer.com/chapter/10.1007/978-3-642-31794-1_3
Maple and the Identification of Quaternions and Other Algebrashttps://link.springer.com/chapter/10.1007/978-3-642-31794-1_4
Fitting of Planes or Spheres to Sets of Pointshttps://link.springer.com/chapter/10.1007/978-3-642-31794-1_5
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A Tutorial on Geometric Algebra Using CLUCalchttps://link.springer.com/chapter/10.1007/978-3-642-31794-1_6
Inverse Kinematics of a Simple Robothttps://link.springer.com/chapter/10.1007/978-3-642-31794-1_7
Robot Grasping an Objecthttps://link.springer.com/chapter/10.1007/978-3-642-31794-1_8
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Efficient Computer Animation Application in CGAhttps://link.springer.com/chapter/10.1007/978-3-642-31794-1_9
Using Gaalop for High-Performance Geometric Algebra Computinghttps://link.springer.com/chapter/10.1007/978-3-642-31794-1_10
Collision Detection Using the Gaalop Precompilerhttps://link.springer.com/chapter/10.1007/978-3-642-31794-1_11
The Gaalop Precompiler for GPUshttps://link.springer.com/chapter/10.1007/978-3-642-31794-1_12
Molecular Dynamics Using Gaalop GPC for OpenCLhttps://link.springer.com/chapter/10.1007/978-3-642-31794-1_13
Geometric Algebra Computershttps://link.springer.com/chapter/10.1007/978-3-642-31794-1_14
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