Monotonicity-preserving interpolation of nongridded data

被引：7

作者：

Costantini, P ^{[1
]}

Manni, C ^{[1
]}

机构：

[1] DIPARTIMENTO ENERGET,I-50134 FLORENCE,ITALY

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 1996年 / 13卷 / 05期

关键词：

blending functions; parametric surfaces; shape-preserving interpolation; Bernstein-Bezier polynomials;

D O I：

10.1016/0167-8396(95)00041-0

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper describes a local method for the construction of differentiable functions interpolating a set of data connected in a general tenser-product topology, These functions are shape-preserving in the sense that they locally maintain the monotonicity of the data along curves ''parallel'' to the related coordinates lines. Error estimates and graphical examples are provided.

引用

页码：467 / 495

页数：29

共 15 条

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[7] SHAPE-PRESERVING BIVARIATE INTERPOLATION
COSTANTINI, P
FONTANELLA, F
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1990, 27 (02) : 488 - 506
[8] CO-MONOTONE INTERPOLATING SPLINES OF ARBITRARY DEGREE - A LOCAL APPROACH
COSTANTINI, P
[J]. SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1987, 8 (06): : 1026 - 1034
[9] AN ALGORITHM FOR COMPUTING SHAPE-PRESERVING INTERPOLATING SPLINES OF ARBITRARY DEGREE
COSTANTINI, P
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1988, 22 (01) : 89 - 136
[10] COSTANTINI P, 1986, MATH COMPUT, V46, P203, DOI 10.1090/S0025-5718-1986-0815841-7

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