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Parallel Coordinates : Visual Multidimensional Geometry and Its Applications

Realizing that this approach is intrinsically limited leads to a deeper geometrical insight, the recognition of M-dimensional objects recursively from their M-1 -dimensional subsets. In turn, this yields powerful geometrical algorithms e. A smooth surface is the envelope of its tangent planes.


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This is equivalent to representing the surface by its normal vectors, rather than projections as in standard surface descriptions. Convex surfaces in any dimension are recognized by the hyperbola-like i. Nonorientable surfaces i. Non-convexities like folds, bumps, concavities and more are no longer hidden and are detected from just one orientation.

Presented on 7 Oct at IC3K 2012

Evidently this representation is preferable for some applications even in 3-D. We stand on the threshold of cracking the gridlock of multidimensional visualization. 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. 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.

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From the reviews: "Well done! They are particularly useful for displaying multivariate data and supporting multivariate analysis!


  • Parallel Coordinates: Visual Multidimensional Geometry and Its Applications / Edition 1.
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This book is written as a textbook designed for use in a one semester course in applied mathematics or computer science There are several applications discussed in the book. These include an extended example in air traffic control and collision avoidance, where Inselberg's methods are used to display multiple flight trajectories , geometric modeling, computer vision, process control, statistics, automatic classification, and decision support.

Inselberg is a very enthusiastic advocate of his methods and he has written a big book, bursting with ideas!

Parallel Coordinates

Prerequisites for the book include some familiarity with linear algebra, a bit of basic multivariable calculus, and willingness to work through extended geometrical arguments. Parallel Coordinates is the first in-depth, comprehensive book describing a geometrically beautiful and practically powerful approach to multidimensional data analysis. I can highly recommend this book to everyone concerned with data analysis and visualization problems.

The book is delightful. Now this book, from the very same parallel coordinates inventor, has changed everything.

Now I see how the method's solid geometric foundation makes it both an ideal tool to understand high dimensional datasets and a source of novel ideas even for fields far from data analysis Country of Publication: US Dimensions cm : Help Centre. Track My Order. My Wishlist Sign In Join.

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