MONOTONE PIECEWISE CUBIC INTERPOLATION
MONOTONE PIECEWISE CUBIC INTERPOLATION
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DOI：
10.1137/0717021
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发表时间：
1980-01-01
影响因子：
2.9
通讯作者：
CARLSON, RE
中科院分区：
文献类型：
--
作者：
FRITSCH, FN;CARLSON, RE
给出了三次曲线在区间上单调的充要条件。这些条件被用来开发一种算法，该算法对单调数据构造视觉上令人满意的单调分段三次插值法。给出了几个算例，并将该算法与其他插补方法进行了比较。
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.