Compression of nth‐order data arrays by B‐splines. Part 1: Theory

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1993 English Publisher:WileyJournal:Journal of Chemometrics, volume 7, pages 61-73 (issn: 0886-9383, eissn: 1099-128X,

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Authors: Bjørn K. Alsberg; Olav M. Kvalheim;

doi: 10.1002/cem.1180070105

Compression of nth‐order data arrays by B‐splines. Part 1: Theory

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Abstract

AbstractFor efficient handling of very large data arrays, pretreatment by compression is mandatory. In the present paper B‐spline methods are described as good candidates for such data array compression. The mathematical relation between the maximum entropy method for compression of data tables and the B‐spline of zeroth degree is described together with the generalization of B‐spline compression to nth‐order data array tables in matrix and tensor algebra.

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