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001 978-3-642-31794-1
003 DE-He213
005 20140220082851.0
007 cr nn 008mamaa
008 121230s2013 gw | s |||| 0|eng d
020 _a9783642317941
_9978-3-642-31794-1
024 7 _a10.1007/978-3-642-31794-1
_2doi
050 4 _aT385
050 4 _aTA1637-1638
050 4 _aTK7882.P3
072 7 _aUYQV
_2bicssc
072 7 _aCOM016000
_2bisacsh
082 0 4 _a006.6
_223
100 1 _aHildenbrand, Dietmar.
_eauthor.
245 1 0 _aFoundations of Geometric Algebra Computing
_h[electronic resource] /
_cby Dietmar Hildenbrand.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXXVII, 196 p. 99 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aGeometry and Computing,
_x1866-6795 ;
_v8
505 0 _aChap. 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 -- Chap. 13 Molecular Dynamics Using Gaalop GPC for OpenCL -- Chap. 14 Geometric Algebra Computers.
520 _aThe 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.
650 0 _aComputer science.
650 0 _aComputer vision.
650 0 _aGeometry.
650 0 _aEngineering mathematics.
650 1 4 _aComputer Science.
650 2 4 _aComputer Imaging, Vision, Pattern Recognition and Graphics.
650 2 4 _aGeometry.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642317934
830 0 _aGeometry and Computing,
_x1866-6795 ;
_v8
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-31794-1
912 _aZDB-2-SMA
999 _c97159
_d97159