Multiresolution Methods in Scattered Data Modelling (Paperback, Softcover reprint of the original 1st ed. 2004)

This application-oriented work concerns the design of efficient, robust and reliable algorithms for the numerical simulation of multiscale phenomena. To this end, various modern techniques from scattered data modelling, such as splines over triangulations and radial basis functions, are combined with customized adaptive strategies, which are developed individually in this work. The resulting multiresolution methods include thinning algorithms, multi levelapproximation schemes, and meshfree discretizations for transport equa tions. The utility of the proposed computational methods is supported by their wide range of applications, such as image compression, hierarchical sur face visualization, and multiscale flow simulation. Special emphasis is placed on comparisons between the various numerical algorithms developed in this work and comparable state-of-the-art methods. To this end, extensive numerical examples, mainly arising from real-world applications, are provided. This research monograph is arranged in six chapters: 1. Introduction; 2. Algorithms and Data Structures; 3. Radial Basis Functions; 4. Thinning Algorithms; 5. Multilevel Approximation Schemes; 6. Meshfree Methods for Transport Equations. Chapter 1 provides a preliminary discussion on basic concepts, tools and principles of multiresolution methods, scattered data modelling, multilevel methods and adaptive irregular sampling. Relevant algorithms and data structures, such as triangulation methods, heaps, and quadtrees, are then introduced in Chapter 2.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Computational Science and Engineering, 37
Release date:	April 2004
First published:	2004
Authors:	Armin Iske
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Paperback
Pages:	188
Edition:	Softcover reprint of the original 1st ed. 2004
ISBN-13:	978-3-540-20479-4
Categories:	Books > Computing & IT > Applications of computing > Databases > General
LSN:	3-540-20479-2
Barcode:	9783540204794

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!