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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Bratlie, J., Dalmo, R., Bang, B. (2015). Wavelet Compression of Spline Coefficients. In: Dimov, I., Fidanova, S., Lirkov, I. (eds) Numerical Methods and Applications. NMA 2014. Lecture Notes in Computer Science(), vol 8962. Springer, Cham. https://doi.org/10.1007/978-3-319-15585-2_27
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DOI: https://doi.org/10.1007/978-3-319-15585-2_27
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