Title :
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
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;
Conference_Titel :
Control Applications, 1998. Proceedings of the 1998 IEEE International Conference on
Conference_Location :
Trieste
Print_ISBN :
0-7803-4104-X
DOI :
10.1109/CCA.1998.721552
