Parallel Coordinates: Visual Multidimensional Geometry and Its Applications - Rilegato

Inselberg, Alfred

Rilegato

ISBN 10: 0387215077 ISBN 13: 9780387215075

Casa editrice: Springer-Verlag GmbH, 2009

Riassunto

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.

Su questo libro

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: Springer-Verlag GmbH
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 0387215077
• ISBN 13: 9780387215075
• Rilegatura: Copertina rigida
• Numero di pagine: 580
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania