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.