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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.
Gasca, M.. "Spline functions and total positivity.." Revista Matemática de la Universidad Complutense de Madrid 9.Extr. (1996): 125-139. <http://eudml.org/doc/44220>.
@article{Gasca1996, abstract = {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.}, author = {Gasca, M.}, journal = {Revista Matemática de la Universidad Complutense de Madrid}, keywords = {Funciones spline; Teoría de la aproximación; Diseño por ordenador; Teoría de matrices; Algoritmos de ordenador; Kernel; total positivity; computer aided geometric design}, language = {eng}, number = {Extr.}, pages = {125-139}, title = {Spline functions and total positivity.}, url = {http://eudml.org/doc/44220}, volume = {9}, year = {1996}, }
TY - JOUR AU - Gasca, M. TI - Spline functions and total positivity. JO - Revista Matemática de la Universidad Complutense de Madrid PY - 1996 VL - 9 IS - Extr. SP - 125 EP - 139 AB - 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. LA - eng KW - Funciones spline; Teoría de la aproximación; Diseño por ordenador; Teoría de matrices; Algoritmos de ordenador; Kernel; total positivity; computer aided geometric design UR - http://eudml.org/doc/44220 ER -