High-Order Parametric Polynomial Approximation of Conic Sections

被引：0

作者：

Gašper Jaklič

Jernej Kozak

Marjeta Krajnc

Vito Vitrih

Emil Žagar

机构：

[1] University of Ljubljana,FMF and IMFM

[2] University of Primorska,FAMNIT and IAM

[3] University of Primorska,undefined

来源：

Constructive Approximation | 2013年 / 38卷

关键词：

Conic section; Parametric curve; Implicit curve; Approximation; 41A10; 41A25; 65D10; 65D17;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, a particular shape preserving parametric polynomial approximation of conic sections is studied. The approach is based upon the parametric approximation of implicitly defined planar curves. Polynomial approximants derived are given in a closed form and provide the highest possible approximation order.

引用

页码：1 / 18

页数：17

共 50 条

[1] High-Order Parametric Polynomial Approximation of Conic Sections
Jaklic, Gasper
Kozak, Jernej
Krajnc, Marjeta
Vitrih, Vito
Zagar, Emil
CONSTRUCTIVE APPROXIMATION, 2013, 38 (01) : 1 - 18
[2] HIGH-ORDER APPROXIMATION OF CONIC SECTIONS BY QUADRATIC SPLINES
FLOATER, M
COMPUTER AIDED GEOMETRIC DESIGN, 1995, 12 (06) : 617 - 637
[3] High order parametric polynomial approximation of quadrics in Rd
Jaklic, Gasper
Kozak, Jernej
Krajnc, Marjeta
Vitrih, Vito
Zagar, Emil
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 388 (01) : 318 - 332
[4] OPTIMAL APPROXIMATION OF HIGH-ORDER SYSTEMS SUBJECT TO POLYNOMIAL INPUTS
SIRET, JM
MICHAILESCO, G
BERTRAND, P
INTERNATIONAL JOURNAL OF CONTROL, 1977, 26 (06) : 963 - 971
[5] Global parametric image alignment via high-order approximation
Keller, Y.
Averbuch, A.
COMPUTER VISION AND IMAGE UNDERSTANDING, 2008, 109 (03) : 244 - 259
[6] G3 approximation of conic sections by quintic polynomial curves
Fang, L
COMPUTER AIDED GEOMETRIC DESIGN, 1999, 16 (08) : 755 - 766
[7] On the Approximation of the Hardy Z-Function via High-Order Sections
Jerby, Yochay
AXIOMS, 2024, 13 (09)
[8] Chebyshev Polynomial Approximation for High-Order Partial Differential Equations with Complicated Conditions
Akyuez-Dascioglu, Ayseguel
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (03) : 610 - 621
[9] HIGH-ORDER SCHEMES FOR NEUTRON KINETICS CALCULATIONS, BASED ON A LOCAL POLYNOMIAL APPROXIMATION
LANGENBUCH, S
MAURER, W
WERNER, W
NUCLEAR SCIENCE AND ENGINEERING, 1977, 64 (02) : 508 - 516
[10] High-order parametric amplifiers
Meyer, S
Chichkov, BN
Wellegehausen, B
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1999, 16 (09) : 1587 - 1591

← 1 2 3 4 5 →