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.
%0 Journal Article
%1 fritsch1980monotone
%A Fritsch, Frederick N
%A Carlson, Ralph E
%D 1980
%I SIAM
%J SIAM Journal on Numerical Analysis
%K 1980 algorithm cubic interpolation mathematics
%N 2
%P 238--246
%R 10.1137/0717021
%T Monotone piecewise cubic interpolation
%U http://dx.doi.org/10.1137/0717021
%V 17
%X 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.
@article{fritsch1980monotone,
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.},
added-at = {2013-10-27T11:54:40.000+0100},
author = {Fritsch, Frederick N and Carlson, Ralph E},
biburl = {https://www.bibsonomy.org/bibtex/2b424ae096d17480aeebaca4b52aa6f68/thorade},
doi = {10.1137/0717021},
interhash = {9c94969cdf6b0453354f616f3ae743b0},
intrahash = {b424ae096d17480aeebaca4b52aa6f68},
journal = {SIAM Journal on Numerical Analysis},
keywords = {1980 algorithm cubic interpolation mathematics},
number = 2,
pages = {238--246},
publisher = {SIAM},
timestamp = {2013-10-27T11:54:40.000+0100},
title = {Monotone piecewise cubic interpolation},
url = {http://dx.doi.org/10.1137/0717021},
volume = 17,
year = 1980
}