Multiresolution Methods in Scattered Data Modelling is popular PDF and ePub book, written by Armin Iske in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Multiresolution Methods in Scattered Data Modelling can be Read Online from any device for your convenience.

Multiresolution Methods in Scattered Data Modelling Book PDF Summary

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.

Detail Book of Multiresolution Methods in Scattered Data Modelling PDF

Multiresolution Methods in Scattered Data Modelling
  • Author : Armin Iske
  • Release : 06 December 2012
  • Publisher : Springer Science & Business Media
  • ISBN : 9783642187544
  • Genre : Mathematics
  • Total Page : 195 pages
  • Language : English
  • PDF File Size : 20,7 Mb

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