Invertible piecewise linear approximations for color reproduction

Author

Groff, R.E. ; Koditschek, D.E. ; Khargonekar, P.P.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA

Volume

2

fYear

1998

Firstpage

716

Abstract

We consider the use of linear splines with variable knots for the approximation of unknown functions from data, motivated by control and estimation problems arising in color systems management. Unlike most popular nonlinear-in-parameters representations, piecewise linear (PL) functions can be simply inverted in a closed form. For the one-dimensional case, we present a study comparing PL and neural network (NN) approximations for several function families. Preliminary results suggest that PL, in addition to their analytical benefits, are at least competitive with NN in terms of sum square error, computational effort and training time

Keywords

function approximation; piecewise linear techniques; printers; splines (mathematics); color reproduction; colour printers; function approximation; linear splines; piecewise linear approximations; piecewise linear functions; sum square error; Calibration; Computer errors; Control systems; Function approximation; Interpolation; Neural networks; Piecewise linear approximation; Piecewise linear techniques; Printers; Psychology;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, 1998. Proceedings of the 1998 IEEE International Conference on

Conference_Location

Trieste

Print_ISBN

0-7803-4104-X

Type

conf

DOI

10.1109/CCA.1998.721552

Filename

721552