Lecture Notes in Computational Science and Engineering

Multiresolution Methods in Scattered Data Modelling

Authors: Iske, Armin

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-642-18754-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-540-20479-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Table of contents (6 chapters)

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-642-18754-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-540-20479-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Multiresolution Methods in Scattered Data Modelling
Authors
Series Title
Lecture Notes in Computational Science and Engineering
Series Volume
37
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-18754-4
DOI
10.1007/978-3-642-18754-4
Softcover ISBN
978-3-540-20479-4
Series ISSN
1439-7358
Edition Number
1
Number of Pages
XII, 188
Number of Illustrations and Tables
19 b/w illustrations, 2 illustrations in colour
Topics