Displaying similar documents to “A limit theorem for one-parameter alteration of two knots of B-spline curves.”

B-spline bases and osculating flats: One result of H.-P. Seidel revisited

Marie-Laurence Mazure (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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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.