A fundamental property of -splines.
Branga, Adrian (1996)
General Mathematics
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Displaying similar documents to “Basis of quartic splines over triangulation.”
A fundamental property of -splines.
A variational approach to spline functions theory.
Micula, G. (2003)
Rendiconti del Seminario Matematico
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Fundamental quadratic splines and applications
Jiří Kobza, Radek Kučera (1993)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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On Spline Systems: Lm-Splines.
F.-J. Delvos, Walter Schempp (1972)
Mathematische Zeitschrift
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Smooth, Easy to Compute Interpolating Splines.
J.D. Hobby (1986)
Discrete & computational geometry
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A note on tension spline
Segeth, Karel
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Spline theory is mainly grounded on two approaches: the algebraic one (where splines are understood as piecewise smooth functions) and the variational one (where splines are obtained via minimization of quadratic functionals with constraints). We show that the general variational approach called smooth interpolation introduced by Talmi and Gilat covers not only the cubic spline but also the well known tension spline (called also spline in tension or spline with tension). We present the...
Some properties of the interpolating spline-functions space
R. Zejnullahu (1989)
Matematički Vesnik
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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.