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 more flexible version of a proven technique by using a set of end conditions suggested by Nutbourne is presented, of greatest interest to users of inexpensive, computer graphics equipment who are interested in improving passive graphical output.
Abstract: Several approximate methods for cubic spline curve fitting have been developed and successfully used. This paper presents a more flexible version of a proven technique by using a set of end conditions suggested by Nutbourne. The advantages and disadvantages of several techniques are clarified and sample graphical output is given. The results should be of greatest interest to users of inexpensive, computer graphics equipment who are interested in improving passive graphical output.
18 citations
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TL;DR: A Newton-type approach is used to deal with bivariate polynomial Hermite interpolation problems when the data are distributed in the intersections of two families of straight lines, as a generalization of regular grids.
Abstract: A Newton-type approach is used to deal with bivariate polynomial Hermite interpolation problems when the data are distributed in the intersections of two families of straight lines, as a generalization of regular grids. The interpolation operator is degree-reducing and the interpolation space is a minimal degree space. Integral remainder formulas are given for the Lagrange case, then extended to the Hermite case, and finally used to obtain error estimates.
18 citations
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TL;DR: A G^2 Hermite-type interpolation method is now proposed which reproduces a circular arc when the input data come from it.
Abstract: Recently some G^1 Hermite-type interpolation methods using a rational parametric cubic were proposed; the methods reproduce a circular arc when the input data come from it. A G^2 Hermite-type interpolation method is now proposed which reproduces a circular arc when the input data come from it.
18 citations
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TL;DR: In this article, a star identity for the rational Hermite interpolation table is derived, which gives rise to a natural generalization of the?-algorithm, which is used in this paper.
Abstract: We derive a star identity, generalizing the Wynn identity, for the rational Hermite interpolation table` This identity gives rise to a natural generalization of the ?-algorithm.
18 citations