Optimal interpolatory splines using -spline representation
Jitka Machalová (2002)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Similarity:
Jitka Machalová (2002)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Similarity:
J. Domsta (1976)
Studia Mathematica
Similarity:
Hakop Hakopian (1984)
Studia Mathematica
Similarity:
Radek Kučera (1995)
Applications of Mathematics
Similarity:
The paper deals with the biquadratic splines and their use for the interpolation in two variables on the rectangular mesh. The possibilities are shown how to interpolate function values, values of the partial derivative or values of the mixed derivative. Further, the so-called smoothing biquadratic splines are defined and the algorithms for their computation are described. All of these biquadratic splines are derived by means of the tensor product of the linear spaces of the quadratic...
Marie-Laurence Mazure (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
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.