Compression of nth‐order data arrays by B‐splines. Part 1: Theory
Authors:
- 1 January 1993
- journal article
- research article
- Published by Wiley in Journal of Chemometrics
- Vol. 7 (1) , 61-73
Abstract
For 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.Keywords
This publication has 14 references indexed in Scilit:
- Multivariate analysis of 2D surfaces: Folding and interpretationJournal of Chemometrics, 1992
- Multidimensional NMR and data processingChemical Reviews, 1991
- Infrared spectrometryAnalytical Chemistry, 1990
- Two-Dimensional Infrared (2D IR) Spectroscopy: Theory and ApplicationsApplied Spectroscopy, 1990
- Analysis of multi-way (multi-mode) dataChemometrics and Intelligent Laboratory Systems, 1989
- Multivariate calibration of an x-ray diffractometer by partial least squares regressionChemometrics and Intelligent Laboratory Systems, 1987
- Principal component analysisChemometrics and Intelligent Laboratory Systems, 1987
- Multivariate calibration of diffuse reflectance infrared spectra of coals as an alternative to rank determination by vitrinite reflectanceChemometrics and Intelligent Laboratory Systems, 1987
- A theoretical foundation for the PLS algorithmJournal of Chemometrics, 1987
- The Use of Principal Components in the Analysis of Near-Infrared SpectraApplied Spectroscopy, 1985