%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 }