Monotonic cubic spline interpolation
Wolberg, Alfy�- 1999 Proceedings Computer Graphics�…, 1999 - ieeexplore.ieee.org
… the use of cubic splines for interpolating monotonic data sets. Interpolating cubic splines are
… form the basis of the monotonic cubic spline interpolation algorithm presented in this paper. …
… form the basis of the monotonic cubic spline interpolation algorithm presented in this paper. …
[HTML][HTML] An energy-minimization framework for monotonic cubic spline interpolation
G Wolberg, I Alfy�- Journal of Computational and Applied Mathematics, 2002 - Elsevier
… the basis of the monotonic cubic spline interpolation algorithm presented in this … monotonic
C 2 cubic spline interpolation results are presented. Extensions to shape preserving splines …
C 2 cubic spline interpolation results are presented. Extensions to shape preserving splines …
[HTML][HTML] Monotone cubic spline interpolation for functions with a strong gradient
F Ar�ndiga, A Baeza, DF Y��ez�- Applied Numerical Mathematics, 2022 - Elsevier
… Spline interpolation has been used in several applications … The final interpolator is not
actually a spline as C 2 regularity … to obtain monotone cubic splines based on Hermite cubic …
actually a spline as C 2 regularity … to obtain monotone cubic splines based on Hermite cubic …
A rational cubic spline for the visualization of monotonic data: an alternate approach
M Sarfraz�- Computers & Graphics, 2003 - Elsevier
… In this section an alternate technique is proposed which generates a smoother C 2 spline
that also preserves the monotone shape of the data. Here the author proposes an alternative …
that also preserves the monotone shape of the data. Here the author proposes an alternative …
Monotonicity-preserving C2 rational cubic spline for monotone data
… cubic function (cubic/quadratic) to maintain the monotone curve through given monotone data.
… preserving C 2 rational cubic function for monotone data. For this purpose we use rational …
… preserving C 2 rational cubic function for monotone data. For this purpose we use rational …
On monotone and convex spline interpolation
P Costantini�- Mathematics of Computation, 1986 - ams.org
… of existence of monotone and/or convex splines, having degree n and order of continuity k,
which interpolate to a set of data at the knots. The interpolating splines are obtained by using …
which interpolate to a set of data at the knots. The interpolating splines are obtained by using …
Spline interpolation techniques
K Erdogan�- Journal of Technical Science and Technologies, 2013 - jtst.ibsu.edu.ge
… Monotone Piecewise Cubic Interpolation” necessary and sufficient conditions are derived for
a cubic spline to be monotone … pleasing monotone piecewise cubic interpolant to monotone …
a cubic spline to be monotone … pleasing monotone piecewise cubic interpolant to monotone …
Monotone piecewise bicubic interpolation
RE Carlson, FN Fritsch�- SIAM journal on numerical analysis, 1985 - SIAM
… the need forthis interpolation algorithm, we define a bivariate function f to be monotone on
D [a, b]x[c, d] if all univariate "slices" of f taken parallel to the coordinate axes are monotone. …
D [a, b]x[c, d] if all univariate "slices" of f taken parallel to the coordinate axes are monotone. …
[PDF][PDF] Monotonic interpolating curves by using rational cubic ball interpolation
SAA Karim�- Applied Mathematical Sciences, 2014 - m-hikari.com
… monotonicity preserving of monotone data by using rational cubic Ball interpolant with …
cubic Ball interpolation the computation may be lower than the rational cubic spline interpolation…
cubic Ball interpolation the computation may be lower than the rational cubic spline interpolation…
Cubic spline interpolation: A review
G Wolberg - 1988 - academiccommons.columbia.edu
… the fundamentals of interpolating cubic splines. We begin by defining a cubic spline in Section
1. … The function assumes that X 2 is monotonically increasing and lies wi thing the range of …
1. … The function assumes that X 2 is monotonically increasing and lies wi thing the range of …
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