Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration (Paperback, Softcover reprint of hardcover 1st ed. 2009)

The goal of visualization is the accurate, interactive, and intuitive presentation of data. Complex numerical simulations, high-resolution imaging devices and incre- ingly common environment-embedded sensors are the primary generators of m- sive data sets. Being able to derive scienti?c insight from data increasingly depends on having mathematical and perceptual models to provide the necessary foundation for effective data analysis and comprehension. The peer-reviewed state-of-the-art research papers included in this book focus on continuous data models, such as is common in medical imaging or computational modeling. From the viewpoint of a visualization scientist, we typically collaborate with an application scientist or engineer who needs to visually explore or study an object which is given by a set of sample points, which originally may or may not have been connected by a mesh. At some point, one generally employs low-order piecewise polynomial approximationsof an object, using one or several dependent functions. In order to have an understanding of a higher-dimensional geometrical "object" or function, ef?cient algorithms supporting real-time analysis and manipulation (- tation, zooming) are needed. Often, the data represents 3D or even time-varying 3D phenomena (such as medical data), and the access to different layers (slices) and structures (the underlying topology) comprising such data is needed.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Mathematics and Visualization
Release date:	October 2010
First published:	2009
Editors:	Torsten Moeller • Bernd Hamann • Robert D. Russell
Dimensions:	235 x 155 x 19mm (L x W x T)
Format:	Paperback
Pages:	350
Edition:	Softcover reprint of hardcover 1st ed. 2009
ISBN-13:	978-3-642-06414-2
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Computing & IT > Computer programming > General Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Computing & IT > Applications of computing > Image processing > General
LSN:	3-642-06414-0
Barcode:	9783642064142

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