Comonotone shape-preserving spline histopolation

被引：7

作者：

Fischer, Malle ^{[1
]}

Oja, Peeter ^{[1
]}

Trossmann, Helle ^{[1
]}

机构：

[1] Univ Tartu, Inst Appl Math, EE-50409 Tartu, Estonia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 200卷 / 01期

关键词：

histopolation; rational spline; comonotone shape-preserving; weak alternation of data;

D O I：

10.1016/j.cam.2005.12.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Algorithms are presented for the construction of histopolating splines consisting of linear/linear rational or quadratic polynomial pieces. A unique comonotone histospline of such kind exists for any histogram with weak alternation of data. In general case, without weak alternation of data, a modified comonotone spline histopolation strategy should be used. The method is implemented via the representation with histogram heights and knot values of first derivatives of the spline. Numerical examples are given. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：127 / 139

页数：13

共 50 条

[11] Empirical mode decomposition with shape-preserving spline interpolation
van der Walt, Maria D.
[J]. RESULTS IN APPLIED MATHEMATICS, 2020, 5
[12] AN ANALYSIS OF 2 ALGORITHMS FOR SHAPE-PRESERVING CUBIC SPLINE INTERPOLATION
DAUNER, H
REINSCH, CH
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 1989, 9 (03) : 299 - 314
[13] SHAPE-PRESERVING C-2 CUBIC SPLINE INTERPOLATION
PRUESS, S
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 1993, 13 (04) : 493 - 507
[14] Two-dimensional EMD with shape-preserving spline interpolation
Brown, Wesley G.
van der Walt, Maria D.
[J]. JOURNAL OF APPLIED ANALYSIS, 2023, 29 (02) : 287 - 296
[15] SHAPE-PRESERVING SPLINE INTERPOLATION FOR SPECIFYING BIVARIATE FUNCTIONS ON GRIDS
DODD, SL
MCALLISTER, DF
ROULIER, JA
[J]. IEEE COMPUTER GRAPHICS AND APPLICATIONS, 1983, 3 (06) : 70 - 79
[16] Dynamic programming with shape-preserving rational spline Hermite interpolation
Cai, Yongyang
Judd, Kenneth L.
[J]. ECONOMICS LETTERS, 2012, 117 (01) : 161 - 164
[17] A shape-preserving spline interpolation for sampling designs from inverse distributions
El Hilali, Abdeljabbar
Monir, Abdelilah
Mraoui, Hamid
[J]. RESULTS IN APPLIED MATHEMATICS, 2023, 19
[18] On shape-preserving capability of cubic L1 spline fits
Wang, Ziteng
Fang, Shu-Cherng
Lavery, John E.
[J]. COMPUTER AIDED GEOMETRIC DESIGN, 2015, 40 : 59 - 75
[19] Construction of a C prime -montone shape-preserving cubic spline interpolation
Wang, Xingbo
[J]. Guofang Keji Daxue Xuebao/Journal of National University of Defense Technology, 1993, 15 (02):
[20] SHAPE-PRESERVING QUASI-INTERPOLATION AND INTERPOLATION BY BOX SPLINE SURFACES
CHUI, CK
DIAMOND, H
RAPHAEL, L
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1989, 25 (02) : 169 - 198

← 1 2 3 4 5 →