李群作用下光滑流形上样条曲线的构造

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2015-01-01 DOI:10.1112/S1461157014000473

A. P. Pobegailo

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引用次数: 1

摘要

定义了李群中参数曲线混合的多项式。证明了这些多项式的性质。考虑了李群参数曲线与这些多项式的混合。然后将该方法应用于光滑流形上样条曲线的构造。作为一个例子，描述了使用该方法构造球面样条曲线。

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Construction of spline curves on smooth manifolds by action of Lie groups

Polynomials for blending parametric curves in Lie groups are defined. Properties of these polynomials are proved. Blending parametric curves in Lie groups with these polynomials is considered. Then application of the proposed technique to construction of spline curves on smooth manifolds is presented. As an example, construction of spherical spline curves using the proposed approach is depicted.

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来源期刊

Lms Journal of Computation and Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.