Spline prewavelets for non-uniform knots.
Martin D. Buhmann, Ch.A. Micchelli (1992)
Numerische Mathematik
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Displaying similar documents to “Algorithms 52-53. Determination of an interpolating quintic spline function with equally spaced and double knots”
Spline prewavelets for non-uniform knots.
Optimal interpolatory splines using -spline representation
Jitka Machalová (2002)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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New algorithms and techniques for computing with geometrically continuous spline curves of arbitrary degree
H.-P. Seidel (1992)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Some algorithms for quartic smoothing splines
Jiří Kobza, Pavel Ženčák (1997)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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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.
Some properties of the interpolating spline-functions space
R. Zejnullahu (1989)
Matematički Vesnik
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Unconditionality of orthogonal spline systems in H¹
Gegham Gevorkyan, Anna Kamont, Karen Keryan, Markus Passenbrunner (2015)
Studia Mathematica
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We give a simple geometric characterization of knot sequences for which the corresponding orthonormal spline system of arbitrary order k is an unconditional basis in the atomic Hardy space H¹[0,1].