PARALLEL COORDINATES: VISUAL MULTIDIMENSIONAL GEOMETRY AND ITS APPLICATIONS
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PARALLEL COORDINATES: VISUAL MULTIDIMENSIONAL GEOMETRY AND ITS APPLICATIONS
PARALLEL COORDINATES: VISUAL MULTIDIMENSIONAL GEOMETRY AND ITS APPLICATIONS
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. * Interactive Learning Module (ILM) CD: designed for
classroom demonstration and fun experimentation for mastering key topics and
examples cross-referenced in the text * 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.
PARALLEL COORDINATES: VISUAL MULTIDIMENSIONAL GEOMETRY AND ITS APPLICATIONS
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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. * Interactive Learning Module (ILM) CD: designed for classroom demonstration and fun experimentation for mastering key topics and examples cross-referenced in the text * Extensive b.. animal science project topics
PARALLEL COORDINATES: VISUAL MULTIDIMENSIONAL GEOMETRY AND ITS APPLICATIONS