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100   $a20180620d2019      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aGeometric Algebra Applications Vol. I $eComputer Vision, Graphics and Neurocomputing /$fby Eduardo Bayro-Corrochano
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (XXXIII, 742 p. 262 illus., 151 illus. in color.) 
311 08$a3-319-74828-9 
327   $aFundamentals of Geometric Algebra -- Euclidean, Pseudo-Euclidean Geometric Algebra, Incidence Algebra and Conformal Geometric Algebras -- Geometric Computing for Image Processing, Computer Vision, and Neural Computing -- Machine Learning -- Applications of Geometric Algebra in Image Processing, Graphics and Computer Vision -- Applications of GA in Machine Learning -- Appendix.
330   $aThe goal of the Volume I Geometric Algebra for Computer Vision, Graphics and Neural Computing is to present a unified mathematical treatment of diverse problems in the general domain of artificial intelligence and associated fields using Clifford, or geometric, algebra. Geometric algebra provides a rich and general mathematical framework for Geometric Cybernetics in order to develop solutions, concepts and computer algorithms without losing geometric insight of the problem in question. Current mathematical subjects can be treated in an unified manner without abandoning the mathematical system of geometric algebra for instance: multilinear algebra, projective and affine geometry, calculus on manifolds, Riemann geometry, the representation of Lie algebras and Lie groups using bivector algebras and conformal geometry. By treating a wide spectrum of problems in a common language, this Volume I offers both new insights and new solutions that should be useful to scientists, and engineers working in different areas related with the development and building of intelligent machines. Each chapter is written in accessible terms accompanied by numerous examples, figures and a complementary appendix on Clifford algebras, all to clarify the theory and the crucial aspects of the application of geometric algebra to problems in graphics engineering, image processing, pattern recognition, computer vision, machine learning, neural computing and cognitive systems.
606   $aComputational intelligence
606   $aArtificial intelligence
606   $aImage processing$xDigital techniques
606   $aComputer vision
606   $aDynamics
606   $aNonlinear theories
606   $aComputational Intelligence
606   $aArtificial Intelligence
606   $aComputer Imaging, Vision, Pattern Recognition and Graphics
606   $aApplied Dynamical Systems
615  0$aComputational intelligence.
615  0$aArtificial intelligence.
615  0$aImage processing$xDigital techniques.
615  0$aComputer vision.
615  0$aDynamics.
615  0$aNonlinear theories.
615 14$aComputational Intelligence.
615 24$aArtificial Intelligence.
615 24$aComputer Imaging, Vision, Pattern Recognition and Graphics.
615 24$aApplied Dynamical Systems.
676   $a006.3
700   $aBayro-Corrochano$b Eduardo$4aut$4http://id.loc.gov/vocabulary/relators/aut$0863860
906   $aBOOK
912   $a9910484472803321
996   $aGeometric Algebra Applications Vol. I$92852727
997   $aUNINA