Displaying similar documents to “Biquadratic splines interpolating mean values”

Data compression with Σ Π -approximations based on splines

Olga E. Baklanova, Vladimir A Vasilenko (1993)

Applications of Mathematics

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The paper contains short description of Σ Π -algorithm for the approximation of the function with two independent variables by the sum of products of one-dimensional functions. Some realizations of this algorithm based on the continuous and discrete splines are presented here. Few examples concerning with compression in the solving of approximation problems and colour image processing are described and discussed.

Quadratic splines smoothing the first derivatives

Jiří Kobza (1992)

Applications of Mathematics

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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.