Synopses & Reviews
This is one book that can genuinely be said to be straight from the horse's mouth. Written by the originator of the technique, it examines parallel coordinates 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. It covers, among many others, the visualization of multidimensional lines, minimum distances, planes, hyperplanes, and clusters of "near" planes. The last chapter explains in a non-technical way the methodology's application to visual and automatic data mining. The principles of the latter, along with guidelines, strategies and algorithms are illustrated in detail on real high-dimensional datasets.
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...
Synopsis
Parallel coordinates have emerged as the leading methodology for multidimensional visualization. Starting from the geometrical foundations, here is the first systematic and rigorous exposition of the methodology's mathematical and algorithmic components. Exercises range from the basics to advanced project topics and open research questions. Included on the CD are visualization of key topics and examples, cross-referenced with the text, designed for interactive use.
Synopsis
The breakthrough idea of parallel coordinates has enchanted many people with its cleverness and power. Al Inselberg, the source of that cleverness and power, ?nally shares the depth and breadth of his invention in this historically important book. I ve been waiting impatiently for this exposition since I was captivated by Inselberg slectureattheUniversityofMarylandin1979.Hehadalreadyunderstood the potential parallel coordinates has for generating insights into high-dimensional analysis and information visualization. In the following decades he polished the arguments, built effective software, and demonstrated value in important appli- tions. Nowabroadcommunityofreaderscanbene?tfromhisinsightsandeffective presentation. I believe that Inselberg s parallel coordinates is a transformational ideal that matches the importance of Rene Descartes (1596 1650) invention of Cartesian coordinates. Just as Cartesian coordinates help us understand 2D and 3D geometry, parallel coordinates offer fresh ways of thinking about and proving theorems in higher-dimensional geometries. At the same time they will lead to more powerful tools for solving practical problems in a wide variety of applications. It is rare to encounter such a mind-shattering idea with such historic importance. While Inselberg s insight and exposition opens the door to many discoveries, there is much work to be done for generations of mathematicians, computer sci- tists, programmers, and domain experts who will need to build on these innovative ideas."
Synopsis
This book is about visualization, systematically incorporating the fantastic human
Synopsis
This book is about visualization, and systematically incorporating the fantastic human pattern recognition into the problem-solving process. Focusing on parallel coordinates, it contains numerous exercises with solutions, course projects and research directions.
Synopsis
This book is about visualization, systematically incorporating the fantastic human
Table of Contents
Foreword.- Preface.- Introduction.- Geometry Background.- The Plane with Parallel Coordinates.- Multidimensional Lines.- Hyperplanes and p-Flats RN.- Envelopes.- Curves.- Proximity of Lines, Planes, and Flats.- Hypersurfaces in RN.- Data Mining and Other Applications.- Recent Results.- Solutions to Selected Exercises.- Notation and List of Symbols.- Bibliography.- Index.