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＜電子ブック＞
Parallel Coordinates : Visual Multidimensional Geometry and Its Applications / by Alfred Inselberg

版	1st ed. 2009.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	XXVI, 554 p : online resource
著者標目	*Inselberg, Alfred author SpringerLink (Online service)
件　名	LCSH:Information visualization LCSH:Science -- Philosophy  全ての件名で検索 LCSH:Algebra LCSH:Computer vision LCSH:Geometry LCSH:Data mining FREE:Data and Information Visualization FREE:Philosophy of Science FREE:Algebra FREE:Computer Vision FREE:Geometry FREE:Data Mining and Knowledge Discovery
一般注記	Geometry Background -- ? FT-1 The Plane with Parallel Coordinates -- Multidimensional Lines -- Planes, p-Flats, and Hyperplanes -- ** Envelopes -- Curves -- Proximity of Lines, Planes, and Flats -- Hypersurfaces in ?N -- ? FT Data Mining and Other Applications -- Recent Results -- Solutions to Selected Exercises This book is about visualization, systematically incorporating the fantastic human pattern recognition into the problem-solving process, and focusing on parallel coordinates. The barrier, imposed by our three-dimensional habitation and perceptual experience, has been breached by this innovative and versatile methodology. The accurate visualization of multidimensional problems and multivariate data unlocks insights into the role of dimensionality. Beginning with an introductory chapter on geometry, the mathematical foundations are intuitively developed, interlaced with applications to data mining, information visualization, computer vision, geometric modeling, collision avoidance for air traffic and process-control. Many results appear for the first time. Multidimensional lines, planes, proximities, surfaces and their properties are unambiguously recognized (i.e. convexity viewed in any dimension) enabling powerful construction algorithms (for intersections, interior-points, linear-programming). Key features of Parallel Coordinates: * An easy-to-read self-contained chapter on data mining and information visualization * Numerous exercises with solutions, from basic to advanced topics, course projects and research directions * "Fast Track" markers throughout provide a quick grasp of essential material. * Extensive bibliography, index, and a chapter containing a collection of recent results (i.e. visualizing large networks, complex-valued functions and more) Parallel Coordinates requires only an elementary knowledge of linear algebra. It is well-suited for self-study and as a textbook (or companion) for courses on information visualization, data mining, mathematics, statistics, computer science, engineering, finance, management, manufacturing, in scientific disciplines and even the arts HTTP:URL=https://doi.org/10.1007/978-0-387-68628-8

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