B-spline bases and osculating flats : one result of H.-P. Seidel revisited
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 36 (2002) no. 6, p. 1177-1186

Along with the classical requirements on B-splines bases (minimal support, positivity, normalization) we show that it is natural to introduce an additional “end point property”. When dealing with multiple knots, this additional property is exactly the appropriate requirement to obtain the poles of nondegenerate splines as intersections of osculating flats at consecutive knots.

DOI : https://doi.org/10.1051/m2an:2003010
Classification:  65D17
Keywords: geometric design, B-spline basis, blossoming, osculating flats
@article{M2AN_2002__36_6_1177_0,
author = {Mazure, Marie-Laurence},
title = {B-spline bases and osculating flats : one result of H.-P. Seidel revisited},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
publisher = {EDP-Sciences},
volume = {36},
number = {6},
year = {2002},
pages = {1177-1186},
doi = {10.1051/m2an:2003010},
zbl = {1027.65020},
mrnumber = {1958664},
language = {en},
url = {http://www.numdam.org/item/M2AN_2002__36_6_1177_0}
}

Mazure, Marie-Laurence. B-spline bases and osculating flats : one result of H.-P. Seidel revisited. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 36 (2002) no. 6, pp. 1177-1186. doi : 10.1051/m2an:2003010. http://www.numdam.org/item/M2AN_2002__36_6_1177_0/

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