CONSTRAINED SMOOTHING OF HISTOGRAMS BY QUADRATIC SPLINES

被引：6
|
作者：
SCHMIDT, JW
机构：
[1] Institut für Numerische Mathematik, Technische Universität Dresden, Dresden, D-O-8027
来源：
COMPUTING | 1992年 / 48卷 / 01期
关键词：
FUNCTIONALS-K2 AND FUNCTIONALS-K-INFINITY; CONSTRAINTS LIKE CONVEXITY OR MONOTONICITY; LINEAR PROGRAMS; PARTIALLY SEPARABLE PROGRAMS AND DUALIZATION; FENCHEL CONJUGATES;
D O I：
10.1007/BF02241708
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
For smoothing histograms under constraints like convexity or monotonicity, in this paper the functionals K2 and K infinity are proposed which can be considered as extensions of the Schoenberg functional known from data smoothing. When using quadratic splines we are led to structured finite dimensional programming problems. Occuring partially separable convex programs can be solved effectively via dualization.
引用
收藏
页码：97 / 107
页数：11
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