De Casteljau algorithm on Lie groups and spheres

被引：0

作者：

Crouch, P. ^{[1
]}

Kun, G. ^{[2
]}

Silva Leite, F. ^{[3
]}

机构：

[1] Ctr. for Syst. Sci. and Engineering, Arizona State University, Tempe, AZ 85287, United States

[2] Lehrstuhl C für Mathematik, RWTH Aachen, D-52056 Aachen, Germany

[3] Departamento de Matemática, Universidade de Coimbra, 3000 Coimbra, Portugal

来源：

Journal of Dynamical and Control Systems | 1999年 / 5卷 / 03期

关键词：

Key words and phrases. De Casteljau algorithm; symmetric spaces; Lie groups; spheres; polynomial curves; cubic splines; covariantderivatives. The first author was supported in part by NATO; Grant 4/C/94/PO. The second author was supported by Acgao Integrada Luso-Alema; No. 314-AI-p-dr. The third author was supported in part by ISR; research network contract ERB FMRXCT-970137 and Gulbenkian Foundation grant while the author was visiting the Systems Science and Engineering Research Center at the Arizona StateUniversity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

引用

页码：397 / 429

共 50 条

[31] An Algorithm to Compute Averages on Matrix Lie Groups
Fiori, Simone
Tanaka, Toshihisa
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2009, 57 (12) : 4734 - 4743
[32] REAL ANALYTIC ACTIONS OF COMPLEX SYMPLECTIC GROUPS AND OTHER CLASSICAL LIE-GROUPS ON SPHERES
UCHIDA, F
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1986, 38 (04) : 661 - 677
[33] MOSFET GIDL currentby designing a new BTBT model using De-Casteljau’s algorithm
Sen, Arnesh
Das, Jayoti
arXiv, 2019,
[34] The cubic de Casteljau construction and Riemannian cubics
Zhang, Erchuan
Noakes, Lyle
COMPUTER AIDED GEOMETRIC DESIGN, 2019, 75
[35] A tour d'horizon of de Casteljau's work
Mueller, Andreas
COMPUTER AIDED GEOMETRIC DESIGN, 2024, 113
[36] Special issue dedicated to Paul de Faget de Casteljau - Preface
Bieri, HP
Prautzsch, H
COMPUTER AIDED GEOMETRIC DESIGN, 1999, 16 (07) : 579 - 581
[37] Compact connected Lie transformation groups on spheres with low cohomogeneity .1.
Straume, E
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 119 (569) : 1 - &
[38] SOME PROPERTIES OF HARMONIC-MAPPINGS IN THE CASE OF SPHERES AND LIE-GROUPS
PLUZHNIKOV, AI
DOKLADY AKADEMII NAUK SSSR, 1983, 268 (06): : 1300 - 1302
[39] Compact connected Lie transformation groups on spheres with low cohomogeneity .2.
Straume, E
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (595) : R8 - &
[40] HARMONIC SPHERES IN COMPACT LIE-GROUPS AND EXTREMALS OF A MULTIVALUED NOVIKOV FUNCTIONAL
TYRIN, AV
RUSSIAN MATHEMATICAL SURVEYS, 1991, 46 (03) : 233 - 234

← 1 2 3 4 5 →