COMPRESSION OF NTH-ORDER DATA ARRAYS BY B-SPLINES .1. THEORY

被引:33
作者
ALSBERG, BK
KVALHEIM, OM
机构
关键词
COMPRESSION; MULTIVARIATE ANALYSIS; B-SPLINES; MAXIMUM ENTROPY;
D O I
10.1002/cem.1180070105
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
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.
引用
收藏
页码:61 / 73
页数:13
相关论文
共 19 条
[1]   MULTIVARIATE-ANALYSIS OF 2D SURFACES - FOLDING AND INTERPRETATION [J].
ALSBERG, BK ;
REMSETH, BG .
JOURNAL OF CHEMOMETRICS, 1992, 6 (03) :135-150
[2]  
Boor CD., 1978, PRACTICAL GUIDE SPLI
[3]  
CHENEY W, 1980, NUMERICAL MATH COMPU
[4]   MULTIVARIATE CALIBRATION OF DIFFUSE REFLECTANCE INFRARED-SPECTRA OF COALS AS AN ALTERNATIVE TO RANK DETERMINATION BY VITRINITE REFLECTANCE [J].
CHRISTY, AA ;
VELAPOLDI, RA ;
KARSTANG, TV ;
KVALHEIM, OM ;
SLETTEN, E ;
TELNAES, N .
CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1987, 2 (1-3) :199-207
[5]  
Chui C. K, 1988, CBMS NSF REGIONAL C
[6]   THE USE OF PRINCIPAL COMPONENTS IN THE ANALYSIS OF NEAR-INFRARED SPECTRA [J].
COWE, IA ;
MCNICOL, JW .
APPLIED SPECTROSCOPY, 1985, 39 (02) :257-266
[7]  
DEBOOR C, MATLAB SPLINE TOOLBO
[8]  
ESBENSEN KH, 1983, P NORD S APPL STAT S, P11
[9]  
Farin G., 2002, MORGAN KAUFMANN SERI, Vfifth
[10]   ANALYSIS OF MULTI-WAY (MULTI-MODE) DATA [J].
GELADI, P .
CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1989, 7 (1-2) :11-30