Monotone Piecewise Cubic Interpolation

19802,386 citationsJournal Article

Authors

Abstract

Necessary and sufficient conditions are derived for a cubic to be monotone on an interval. These conditions are used to develop an algorithm which constructs a visually pleasing monotone piecewise cubic interpolant to monotone data. Several examples are given which compare this algorithm with other interpolation methods.

Topics & Keywords

Advanced Numerical Analysis Techniques Iterative Methods for Nonlinear Equations Numerical Methods and Algorithms

Publication Details

Published in: SIAM Journal on Numerical Analysis

Volume 17, Issue 2, pp. 238-246

DOI: 10.1137/0717021

Field-Weighted Citation Impact: 8.49

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Monotone Piecewise Cubic Interpolation

Authors

Abstract

Topics & Keywords

Publication Details