B-spline bases and osculating flats: One result of H.-P. Seidel revisited
Laboratoire de Modélisation et Calcul (LMC-IMAG), Université Joseph Fourier, BP 53, 38041 Grenoble Cedex, France. firstname.lastname@example.org.
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.
Mathematics Subject Classification: 65D17
Key words: Geometric design / B-spline basis / blossoming / osculating flats.
© EDP Sciences, SMAI, 2002