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Previous article Next article A Method for Constructing Local Monotone Piecewise Cubic InterpolantsF. N. Fritsch and J. ButlandF. N. Fritsch and J. Butlandhttps://doi.org/10.1137/0905021PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractA method is described for producing monotone piecewise cubic interpolants to monotone data which is completely local and which is extremely simple to implement.1 K. W. Brodlie, K. W. Brodlie, A review of methods for curve and function drawingMathematical Methods in Computer Graphics and Design, Academic Press, London, 1980, 1–37 Google Scholar2 J. Butland, A method of interpolating reasonable-shaped curves through any data, Proc. of Computer Graphics 80, Online Publications Ltd., Northwood Hills, Middlesex, UK, 1980, 409–422 Google Scholar3 F. N. Fritsch and , J. Butland, An improved monotone piecewise cubic interpolation algorithm, Rep., UCRL-85104, Lawrence Livermore Laboratory, Livermore, CA, 1980, October Google Scholar4 F. N. Fritsch and , R. E. Carlson, Monotone piecewise cubic interpolation, SIAM J. Numer. Anal., 17 (1980), 238–246 10.1137/0717021 81g:65012 0423.65011 LinkISIGoogle ScholarKeywordsmonotone interpolationcubic Hermite interpolation Previous article Next article FiguresRelatedReferencesCited ByDetails The PUMAS libraryComputer Physics Communications, Vol. 279 | 1 Oct 2022 Cross Ref Microstructure-Sensitive Uncertainty Quantification for Crystal Plasticity Finite Element Constitutive Models Using Stochastic Collocation MethodsFrontiers in Materials, Vol. 9 | 27 September 2022 Cross Ref Determination of the Effects of Transcutaneous Auricular Vagus Nerve Stimulation on the Heart Rate Variability Using a Machine Learning PipelineBioelectricity, Vol. 4, No. 3 | 1 Sep 2022 Cross Ref Mach and Froude Numbers on MarsThe Planetary Science Journal, Vol. 3, No. 7 | 19 July 2022 Cross Ref Implementation of free-space Fourier Ptychography with near maximum system numerical apertureOptics Express, Vol. 30, No. 12 | 23 May 2022 Cross Ref Eye Tracking-Based Stress Classification of Athletes 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Chemical and and Part A: Vol. 46, No. 4 | 1 Jan Cross Ref Shape Preserving of Curves and | 1 Jan Cross Ref A of for for | 1 Jan Cross Ref of in of in Science and Engineering, Vol. No. 4 | 1 Dec Cross Ref of piecewise cubic as numerical of and Vol. No. 6 | 1 Dec Cross Ref to and Flame, Vol. No. 1 | 1 Oct Cross Ref An for Monotone Piecewise Bicubic Journal on Numerical Analysis, Vol. No. 1 | 14 July of Thermal in Vol. 161, No. | 1 Jan Cross Ref in on Vol. 22, No. 1 | 1 Jan Cross Ref and from the of Flow and | 1 Jan Cross Ref cubic and Hermite of Computation, Vol. 52, No. | 1 January Cross Ref in and Flame, Vol. No. 1 | 1 Oct Cross Ref scattering of by of Physics and Physics, Vol. 21, No. 13 | 1 January 1999 Cross Ref A shape preserving interpolant with Aided Geometric Design, Vol. 5, No. 2 | 1 Jul Cross Ref scattering of and by Review Vol. 37, No. 9 | 1 May Cross Ref An algorithm for interpolating splines of degreeJournal of Computational and Applied Mathematics, Vol. 22, No. 1 | 1 Cross Ref Numerical methods for problems in three-dimensional Numerical Mathematics, Vol. 4, No. 1 | 1 Mar Cross Ref and of in and on Vol. 21, No. 1 | 1 Jan Cross Ref in monotone and convex and their Applications | 28 September 2006 Cross Ref in and the of the of Systems Part Part Combustion and Applications | 23 August Cross Ref of Local Journal on and Statistical Vol. No. 6 | 14 July with of Journal on and Statistical Vol. No. 3 | 14 July for and of Computational and Applied Mathematics, Vol. No. 1-2 | 1 Feb Cross Ref in | 1 Jan Cross Ref Numerical from the of Combustion | 1 Jan Cross Ref Shape preserving spline Design, Vol. No. 1 | 1 Jan Cross Ref Stimulation and of in the of | 1 Jan Cross Ref Shape Preserving Piecewise Rational Journal on and Statistical Vol. 6, No. 4 | 14 July preserving bicubic interpolation: A Aided Geometric Design, Vol. No. | 1 Sep Cross Ref Monotone Piecewise Bicubic Journal on Numerical Analysis, Vol. 22, No. 2 | 14 July rational spline for monotone IEEE International Conference on Visualization No. Cross Ref A rational spline for positive IEEE Conference on An International Conference on Computer Visualization and Graphics Cross Ref Rational spline interpolation preserving the shape of the monotonic Computer Graphics International Cross Ref Numerical of Combustion Cross Ref 5, Journal on and Statistical February July 2006 for and Applied interpolationcubic Hermite & for and Applied Mathematics
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