Representation of spectra by continuous functions
- 1 May 1993
- journal article
- research article
- Published by Wiley in Journal of Chemometrics
- Vol. 7 (3) , 177-193
- https://doi.org/10.1002/cem.1180070305
Abstract
A general framework for manipulating spectra as functions in traditional multivariate methods such as PCA and PLS is described. The functional representation is very convenient for compression, ensuring smoothness and continuity. There are two fundamentally different types of representations: (a) by functions and (b) by function coefficients. The use of coefficients is the most practical way of analysis.Keywords
This publication has 7 references indexed in Scilit:
- Multivariate analysis of 2D surfaces: Folding and interpretationJournal of Chemometrics, 1992
- Some Tools for Functional Data AnalysisJournal of the Royal Statistical Society Series B: Statistical Methodology, 1991
- A theoretical foundation for the PLS algorithmJournal of Chemometrics, 1987
- Principal Components Analysis of Sampled FunctionsPsychometrika, 1986
- The Collinearity Problem in Linear Regression. The Partial Least Squares (PLS) Approach to Generalized InversesSIAM Journal on Scientific and Statistical Computing, 1984
- When the Data are FunctionsPsychometrika, 1982
- Theory of reproducing kernelsTransactions of the American Mathematical Society, 1950