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Parallel Coordinates
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.
Imaginary Coordinates
Text by Jessica Dubow, Rhoda Rosen, Ilana Segal.
Coordinates
Elucidates the mathematical foundation of coordinate systems and their practical application to different branches of mathematics and natural and engineering sciences. Contains a thorough discussion of theory, and details applications taken from the fields of physics and geodesy, illustrated with examples. Treats related problems including previously unpublished numerical integration methods. Includes an extensive formulary consisting of some 40 tables on different types of coordinates, offering directly applicable information on important features in a unified notational system. For practitioners and students of science and engineering. Annotation copyright by Book News, Inc., Portland, OR
Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics
In Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics, eminent computer graphics and computational mechanics researchers provide a state-of-the-art overview of generalized barycentric coordinates. Commonly used in cutting-edge applications such as mesh parametrization, image warping, mesh deformation, and finite as well as boundary element methods, the theory of barycentric coordinates is also fundamental for use in animation and in simulating the deformation of solid continua. Generalized Barycentric Coordinates is divided into three sections, with five chapters each, covering the theoretical background, as well as their use in computer graphics and computational mechanics. A vivid 16-page insert helps illustrating the stunning applications of this fascinating research area. Key Features: Provides an overview of the many different types of barycentric coordinates and their properties. Discusses diverse applications of barycentric coordinates in computer graphics and computational mechanics. The first book-length treatment on this topic
Flux Coordinates and Magnetic Field Structure
Flux Coordinates and Magnetic Field Structure gives a systematic and rigorous presentation of the mathematical framework and principles underlying the description of magnetically confined fusion plasmas. After a brief treatment of vector algebra in curvilinear coordinate systems the book introduces concepts such as flux surfaces, rotational transforms, and magnetic differential equations. The various specific types of coordinate system are dealt with in detail. Researchers and advanced students in plasma physics, electromagnetics, and mathematical physics will greatly benefit from this useful guide and reference book.
Basic GIS Coordinates
Coordinates are integral building tools for GIS, cartography, surveying and are vital to the many applications we use today such as smart phones, car navigation systems and driverless cars. Basic GIS Coordinates, Third Edition grants readers with a solid understanding of coordinates and coordinate systems and how they operate as well as valuable insight into what causes them to malfunction. This practical and comprehensive guide lays out the foundation of a coordinate system and the implications behind building it as it elaborates on heights, two coordinate systems, and the rectangular system.The previous editions described horizontal and vertical datums such as the North American Datum 1983...
The Method of Coordinates
Two-part treatment begins with discussions of coordinates of points on a line, coordinates of points in a plane, and coordinates of points in space. Part two examines geometry as an aid to calculation and peculiarities of four-dimensional space. Abundance of ingenious problems — includes solutions, answers, and hints. 1967 edition.
