Topic
Monotone cubic interpolation
About: Monotone cubic interpolation is a research topic. Over the lifetime, 1740 publications have been published within this topic receiving 38111 citations.
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TL;DR: A GC 1 -interpolant for 2D curve data is presented to assign certain circles or straight lines to a given data set of 2D points and to blend these frames.
19 citations
TL;DR: In this paper, the authors used S.L. Sobolev's method interpolation splines minimizing the semi-norm in a Hilbert space to obtain exact coefficients for polynomials of degree m−2 and e −x −x.
Abstract: In the present paper using S.L. Sobolev’s method interpolation splines minimizing the semi-norm in a Hilbert space are constructed. Explicit formulas for coefficients of interpolation splines are obtained. The obtained interpolation spline is exact for polynomials of degree m−2 and e
−x
. Also some numerical results are presented.
19 citations
01 Oct 1985
TL;DR: In this article, it was shown that cubic spline interpolation with the not-a-knot side condition converges to any C squared without any mesh-ratio restriction as the mesh size goes to zero.
Abstract: : It is shown that cubic spline interpolation with the not-a-knot side condition converges to any C squared without any mesh-ratio restriction as the mesh size goes to zero Keywords: Cubic spline; Interpolation; Not-a-knot; Convergence; Total positivity
19 citations
19 citations
TL;DR: The details and logic of a FORTRAN computer program which fits a cubic interpolatory spline to a set of data points digitized from an exact size photographic reproduction of a dental model, and measures the length of the arc, are presented.
19 citations