Displaying similar documents to “A Direct Algorithm for Optimal Quadratic Splines.”

Quadratic splines smoothing the first derivatives

Jiří Kobza (1992)

Applications of Mathematics

Similarity:

The extremal property of quadratic splines interpolating the first derivatives is proved. Quadratic spline smoothing the given values of the first derivative, depending on the knot weights w i and smoothing parameter α , is then studied. The algorithm for computing appropriate parameters of such splines is given and the dependence on the smoothing parameter α is mentioned.

Interpolating and smoothing biquadratic spline

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...