Displaying similar documents to “A method for construction of spline curves.”

Multivariate smooth interpolation that employs polyharmonic functions

Segeth, Karel

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We study the problem of construction of the smooth interpolation formula presented as the minimizer of suitable functionals subject to interpolation constraints. We present a procedure for determining the interpolation formula that in a natural way leads to a linear combination of polyharmonic splines complemented with lower order polynomial terms. In general, such formulae can be very useful e.g. in geographic information systems or computer aided geometric design. A simple computational...

Constructions of interpolation curves from given supporting elements. I

Josef Matušů, Josef Novák (1985)

Aplikace matematiky

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This paper deals with the constructions of interpolation curves which pass through given supporting points (nodes) and touch supporting tangent vectors given at only some fo these points or, as the case may be, at all these points. The mathematical kernel of these constructions is based on Lienhard's interpolation method.