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: The extensions of interpolating α-B-spline based on the new B-splines and the singular blending technique are presented and their applications in data interpolation and polygonal shape deformation are investigated.
29 citations
01 Jan 2009
TL;DR: In this paper, the authors extended the classical Hermite interpolation by means of a class of fractal interpolants, which prescribes at each support abscissa not only the value of a function but also its derivatives up to any finite order.
Abstract: The classical methods of real data interpolation can be generalized with fractal interpolation. This paper extends the classical Hermite interpolation by means of a class of fractal interpolants. This problem prescribes at each support abscissa not only the value of a function but also its derivatives up to any finite order. Some error bounds of Hermite fractal interpolation function with respect to the data gen
29 citations
Book•
17 Oct 2007
TL;DR: Computer-Aided Reverse Engineering Using Evolutionary Heuristics on NURBS and Multiresolution Framework for B-Splines for Rational Cubic Splines is presented.
Abstract: Weighted Nu Splines.- Rational Cubic Spline with Shape Control.- Rational Sigma (? )Splines.- Linear, Conic and Rational Cubic Splines.- Shape-Preserving Rational Interpolation for Planar Curves.- Visualization of Shaped Data by a Rational Cubic Spline.- Visualization of Shaped Data by Cubic Spline Interpolation.- ApproximationwithB-SplinesCurves.- Spirals.- Corner Detection for Curve Segmentation.- Linear Capture of Digital Curves.- Digital Outline Capture with Cubic Curves.- Computer-Aided Reverse Engineering Using Evolutionary Heuristics on NURBS.- Multiresolution Framework for B-Splines.
29 citations
TL;DR: The proposed method when applied to a linear hyperbolic equation is shown to be unconditionally stable andumerical results are provided to justify the usefulness of the proposed method.
29 citations
29 citations