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Call number:SPRINGER-2013-9783642317941:ONLINE Show nearby items on shelf
Title:Foundations of Geometric Algebra Computing [electronic resource]
Author(s): Dietmar Hildenbrand
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note: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 thefoundations 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 geometricalgebra as a 5D extension of the 4D projective geometric alg ebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometricalgebra 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 ofgeometric 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 iswritten 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, computationalengineering, and mathematics
Note:Springer eBooks
Contents:Chap. 1 Introduction
Chap. 2 Mathematical Introduction
Chap. 3 The Conformal Geometric Algebra
Chap. 4 Maple and the Identification of Quaternions and Other Algebras
Chap. 5 Fitting of Planes or Spheres into Point Sets
Chap. 6 Geometric Algebra Tutorial Using CLUCalc
Chap. 7 Inverse Kinematics of a Simple Robot
Chap. 8 Robot Grasping an Object
Chap. 9 Efficient Computer Animation Application in CGA
Chap. 10 Using Gaalop for Performant Geometric Algebra Computing
Chap. 11 Collision Detection Using the Gaalop Precompiler
Chap. 12 Gaalop Precompiler for GPGPUs
Series:SpringerLink (Online service)
Series:Geometry and Computing, 1866-6795 : v8
Series:Mathematics and Statistics (Springer-11649)
Keywords: Computer science , Computer vision , Geometry , Engineering mathematics
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Location: ONLINE

Call number:QA76.7.K577::2018 Show nearby items on shelf
Title:Reconciling abstraction with high performance : a metaocaml approach
Author(s): Oleg Kiselyov
Publisher:Now Publishers
Size:107 p
Contents:Introduction -- First steps -- Filtering -- Linear algebra DSL: complex vector arithmetic and data layout -- Linear algebra DSL: matrix-vector opertions and modular optimizations -- From an interpreter to a compiter: SDL for image manipulation -- fu rther challenges -- Challenges.
Keywords: Program transformation , Generative programming , Domain-specific programming languages
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Location: NEW

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