Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration - Couverture souple

Livre 17 sur 40: Mathematics and Visualization
 
9783642064142: Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration

Synopsis

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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Présentation de l'éditeur

Here is a summary of cutting-edge research ideas on visualization presented at a key workshop in Banff, Canada, where new algorithms were discussed based on sophisticated modeling techniques that permit the extraction of high-level topological structures.

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Autres éditions populaires du même titre

9783540250760: Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration

Edition présentée

ISBN 10 :  354025076X ISBN 13 :  9783540250760
Editeur : Springer-Verlag Berlin and Heide..., 2009
Couverture rigide