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Parallel Coordinates

Visual Multidimensional Geometry and Its Applications

  • Alfred Inselberg

Table of contents

  1. Front Matter
    Pages i-xxvi
  2. Alfred Inselberg
    Pages 1-5
  3. Alfred Inselberg
    Pages 7-48
  4. Alfred Inselberg
    Pages 49-61
  5. Alfred Inselberg
    Pages 63-113
  6. Alfred Inselberg
    Pages 115-183
  7. Alfred Inselberg
    Pages 185-194
  8. Alfred Inselberg
    Pages 195-241
  9. Alfred Inselberg
    Pages 243-295
  10. Alfred Inselberg
    Pages 297-377
  11. Alfred Inselberg
    Pages 379-427
  12. Alfred Inselberg
    Pages 429-488
  13. Alfred Inselberg
    Pages 489-529
  14. Back Matter
    Pages 531-554

About this book

Introduction

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.
* 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. 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.

Keywords

Algebra Computer Vision Information Visualization cognition data mining linear algebra visualization

Authors and affiliations

  • Alfred Inselberg
    • 1
  1. 1.School of Mathematical Sciences, Dept. MathematicsTel Aviv UniversityTel AvivIsrael

Bibliographic information