000			02987cam a22002897i 4500
001			17514531
005			20170923100833.0
008			121101t20122012gw a b 001 0 eng d
020			_a9783642317934 (alk. paper)
020			_a3642317936 (alk. paper)
040			_aBTCTA _beng _cBTCTA _dUKMGB _dYDXCP _dBWX _dMUU _dOCLCQ _dHEBIS _dDLC
042			_alccopycat
050	0	0	_aQA199 _b.H55 2013
082	0	4	_a004.0151257 _223
100			_92259 _aHildenbrand, Dietmar
245	1	0	_aFoundations of geometric algebra computing / _cDietmar Hildenbrand.
260	3		_aLondon _bSpringer _cc2013
300			_axxvii, 196 pages : _billustrations (some color) ; _c24 cm.
490	1		_aGeometry and computing, _x1866-6795 ; _vv. 8
504			_aIncludes bibliographical references (pages 189-194) and index.
505	2		_aIntroduction -- Mathematical introduction -- Conformal geometric algebra -- Maple and the identification of quaternions and other algebras -- Fitting of planes or spheres to sets of points -- A tutorial on geometric algebra using CLUCalc -- Inverse kinematics of a simple robot -- Robot grasping an object -- Efficient computer animation application in CGA -- Using gaalop for high-performance geometric algebra computing -- Collision detection using the gaalop precompiler -- The gaalop precompiler for GPUs -- Molecular dynamics using gaalop GPC for OpenCL -- Geometric algebra computers.
520	3		_a"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."--
650		0	_aClifford algebras _xData processing.
650		7	_aGeometrische Algebra _2gnd
650		7	_aComputeralgebra _2gnd
942			_2ddc _cLIBRO
999			_c41