About the Book
Parallel coordinates has emerged as the leading methodology for Multidimensional Visualization. Starting from geometric foundations, this is the first systematic and rigorous exposition of the methodology's mathematical and algorithmic components on the visualization of multidimensional lines, minimum distances, planes, hyperplanes, clusters of "near" planes, proximities, multidimensional transformations, curves, surfaces, hypersurfaces, convexity, and interior-point construction algorithms. The last chapter explains in a non-technical way the methodology's application to visual and automatic data mining with principles, guidelines, strategies and algorithms illustrated in detail on real high-dimensional datasets.
Key features: * Systematic presentation of topics interlaced with applications to visual and automatic data mining, collision avoidance algorithms for air traffic control, geometric modeling and computer vision, decision support, information visualization * A large collection of exercises from the basics to advanced project topics and open research questions * Companion text for courses on informational visualization, multivariate statistics, linear algebra, and optimization * Included in a CD, which is designed for interactive classroom use, are visualizations of key topics and examples, coordinated with cross-references in the text * Extensive bibliography on multivariate/multidimensional visualization techniques and excellent index. "Parallel Coordinates" is well-suited for the classroom, as a reference text, or for reference, requiring only a sound foundation in Linear Algebra.
Table of Contents:
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.
Review :
From the reviews: "Well done!" --Stephen Hawking, Cambridge University Parallel coordinates provide a means of visualizing geometric objects in many dimensions. They are particularly useful for displaying multivariate data and supporting multivariate analysis! 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 ! . Prerequisites for the book include some familiarity with linear algebra, a bit of basic multivariable calculus, and willingness to work through extended geometrical arguments. --MAA Reviews The book is very attractive visually, with enjoyable prose, rare historical references and splendid organization like the "fast track" and Interactive Learning Module (ILM). 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. --Bernd Hamann, Professor of Computer Science, University of California, Davis For me the parallel coordinates method was only a visualization and presentation tool, with no impact on data understanding... 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...there are few visualization techniques with so solid geometrical and mathematical foundations like parallel coordinates and the book provides plenty of support to a broad spectrum of readers, from the results-inclined analyst to the more theory-captivated academician. --Ing. Mario Valle , Data Analysis and Visualization Group , Swiss National Supercomputing Centre (CSCS) "This text provides a detailed mathematical treatment of parallel-coordinate geometry for mathematics students and similar readers, and the ... chapters are a course in parallel-coordinate geometry, as developed by Inselberg and his collaborators." (John Wilson, Engineering & Technology, February, 2010)
