On ℒ-spline interpolation and approximation on the whole real line
S. I. Novikov (1989)
Banach Center Publications
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S. I. Novikov (1989)
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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...
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