SHAPE PRESERVING HISTOPOLATION USING RATIONAL QUADRATIC SPLINES

被引：13
|
作者：
SCHMIDT, JW
HESS, W
NORDHEIM, T
机构：
[1] Department of Mathematics, Technical University of Dresden, Dresden, DDR-8027, Mommsenstrasse, 13, Germany (Democratic Republic
来源：
COMPUTING | 1990年 / 44卷 / 03期
关键词：
AMS (MOS) Subject Classifications: 65D07; 41A15; construction of splines with minimal mean curvature; Convex or monotone area true splines; sufficient and necessary existence conditions;
D O I：
10.1007/BF02262220
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper the area true approximation of histograms by rational quadratic C1-splines is considered under constraints like convexity or monotonicity. For the existence of convex or monotone histosplines sufficient and necessary conditions are derived, which always can be satisfied by choosing the rationality parameters appropriately. Since the mentioned problems are in general not uniquely solvable histo-splines with minimal mean curvature areconstructed. © 1990 Springer-Verlag.
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页码：245 / 258
页数：14
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