Overview
- Cutting-edge research in a fast-moving cross-disciplinary field touching visualization, computer graphics, and CSE
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathematics and Visualization (MATHVISUAL)
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About this book
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.
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Table of contents (18 chapters)
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Front Matter
Editors and Affiliations
Bibliographic Information
Book Title: Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration
Editors: Torsten Möller, Bernd Hamann, Robert D. Russell
Series Title: Mathematics and Visualization
DOI: https://doi.org/10.1007/b106657
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Hardcover ISBN: 978-3-540-25076-0Published: 22 June 2009
Softcover ISBN: 978-3-642-06414-2Published: 22 October 2010
eBook ISBN: 978-3-540-49926-8Published: 12 June 2009
Series ISSN: 1612-3786
Series E-ISSN: 2197-666X
Edition Number: 1
Number of Pages: X, 350
Number of Illustrations: 49 b/w illustrations, 134 illustrations in colour
Topics: Computer Applications, Theory of Computation, Computational Mathematics and Numerical Analysis, Computer Graphics, Mathematics of Computing, Computational Science and Engineering