| 书目名称 | Multiresolution Methods in Scattered Data Modelling | | 编辑 | Armin Iske | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Lecture Notes in Computational Science and Engineering | | 图书封面 |  | | 描述 | 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 fo | | 出版日期 | Book 2004 | | 关键词 | Approximation; Interpolation; data modelling; digital image compression; meshfree methods for fluid flow | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-18754-4 | | isbn_softcover | 978-3-540-20479-4 | | isbn_ebook | 978-3-642-18754-4Series ISSN 1439-7358 Series E-ISSN 2197-7100 | | issn_series | 1439-7358 | | copyright | Springer-Verlag Berlin Heidelberg 2004 |
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发表于 2025-3-21 16:48:43
