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A Note on Local Refinement for Direction Splitting Methods Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Wavelet Compression of Spline Coefficients

Authors : Jostein Bratlie, Rune Dalmo, Børre Bang

Published in: Numerical Methods and Applications

Publisher: Springer International Publishing

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Abstract

Based on a concept for thresholding of wavelet coefficients, which was addressed in [8] and further explored in [6, 7], a method for balancing between non-threshold- and threshold shrinking of wavelet coefficients has emerged. Generalized expo-rational B-splines (GERBS) is a blending type spline construction where local functions at each knot are blended together by \(C^k\)-smooth basis functions. Global data fitting can be achieved with GERBS by fitting local functions to the data. One property of the GERBS construction is an intrinsic partitioning of the global data. Compression of the global data set can be achieved by applying the shrinking strategy to the GERBS local functions. In this initial study we investigate how this affects the resulting GERBS geometry.

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previous chapter Numerical Simulation of Drop Coalescence in the Presence of Inter-Phase Mass Transfer
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Metadata
Title
Wavelet Compression of Spline Coefficients
Authors
Jostein Bratlie
Rune Dalmo
Børre Bang
Copyright Year
2015
Book
Numerical Methods and Applications

Print ISBN: 978-3-319-15584-5

Electronic ISBN: 978-3-319-15585-2

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-15585-2_27

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