GEOMETRIC HERMITE INTERPOLATION

被引：42

作者：

HOLLIG, K

KOCH, J

机构：

[1] Universität Stuttgart, Mathematisches Institut A, 70511 Stuttgart

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 1995年 / 12卷 / 06期

关键词：

SPINES; CURVES; INTERPOLATION; GEOMETRIC SMOOTHNESS; ACCURACY;

D O I：

10.1016/0167-8396(94)00034-P

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We show that for space curves the performance of standard cubic Hermite interpolation can be improved by interpolating a third point within the parameter interval. The resulting method is easy to implement and achieves the optimal approximation order 5.

引用

页码：567 / 580

页数：14

共 50 条

[31] On the Hermite interpolation polynomial
Pop, Ovidiu T.
Barbosu, Dan
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2010, 37 (01): : 104 - 109
[32] A note on the Hermite interpolation
Mircea Ivan
Numerical Algorithms, 2015, 69 : 517 - 522
[33] BARYCENTRIC HERMITE INTERPOLATION
Sadiq, Burhan
Viswanath, Divakar
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2013, 35 (03): : A1254 - A1270
[34] Hermite interpolation on sphere
Habib, Z
Sakai, M
Computer Graphics, Imaging and Vision: New Trends, 2005, : 416 - 421
[35] ON THE HERMITE INTERPOLATION POLYNOMIAL
VALIAHO, H
JOURNAL OF APPROXIMATION THEORY, 1984, 40 (04) : 391 - 392
[36] Manoeuvring speed estimation of a lane-change system using geometric hermite interpolation
Othman, N. A.
Reif, U.
Ramli, A.
Misro, M. Y.
AIN SHAMS ENGINEERING JOURNAL, 2021, 12 (04) : 4015 - 4021
[37] A note on the Hermite interpolation
Ivan, Mircea
NUMERICAL ALGORITHMS, 2015, 69 (03) : 517 - 522
[38] Hermite and Hermite-Fejer interpolation for Stieltjes polynomials
Jung, HS
MATHEMATICS OF COMPUTATION, 2006, 75 (254) : 743 - 766
[39] Hermite and piecewise cubic Hermite interpolation of fuzzy data
Zeinali, Masoumeh
Shahmorad, Sedaghat
Mirnia, Kamal
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (06) : 2889 - 2898
[40] On geometric Hermite arcs
Juhasz, Imre
ANNALES MATHEMATICAE ET INFORMATICAE, 2015, 45 : 61 - 68

← 1 2 3 4 5 →