Сплайны высокого порядка на римановых многообразиях-Reference-Cited by-同舟云学术

Сплайны высокого порядка на римановых многообразиях

Published:2023-06 Issue: Volume:321 Page:172-193
ISSN:0371-9685
Container-title:Trudy Matematicheskogo Instituta imeni V.A. Steklova
language:ru
Short-container-title:Trudy Mat. Inst. Steklova

Author:

Camarinha Margarida¹,Silva Leite Fátima²³,Crouch Peter Edward⁴

Affiliation:

1. CMUC, University of Coimbra, Department of Mathematics, 3000-143 Coimbra, Portugal

2. Department of Mathematics, University of Coimbra, 3000-143 Coimbra, Portugal

3. Institute of Systems and Robotics, UC, 3030-290 Coimbra, Portugal

4. College of Engineering, University of Texas at Arlington, Arlington, TX 76019-0019, USA

Abstract

Статья представляет собой обзор работ авторов по обобщенным полиномиальным кривым и сплайнам на римановых многообразиях. Особое внимание уделяется вариационному подходу, приводящему к таким кривым, и гамильтоновой формулировке в кубическом случае.

Funder

Fundacão para a Ciência e a Tecnologia

Publisher

Steklov Mathematical Institute

Subject

General Materials Science

Reference69 articles.

1. Cubic polynomials on Lie groups: reduction of the Hamiltonian system

2. Encycl. Math. Sci.;Agrachev A.A., Sachkov Yu.L.,2004

3. Reduction by group symmetry of second order variational problems on a semidirect product of Lie groups with positive definite Riemannian metric

4. Unit speed stationary points of the acceleration

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Shape-preserving interpolation on surfaces via variable-degree splines;Computer Aided Geometric Design;2024-03