In this survey we show the close connection between the theory of Spline Functions and that of Total Positivity. In the last section we mention some recent results on totally positive bases which are optimal for shape preserving properties in Computer Aided Geometric Design.
@article{urn:eudml:doc:44220,
title = {Spline functions and total positivity.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {9},
year = {1996},
pages = {125-139},
zbl = {0866.41005},
mrnumber = {MR1435780},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44220}
}
Gasca, M. Spline functions and total positivity.. Revista Matemática de la Universidad Complutense de Madrid, Tome 9 (1996) pp. 125-139. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44220/