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|Title:||Construction of spline curves on smooth manifolds by action of Lie groups|
|Authors:||Pobegailo, A. P.|
|Keywords:||ЭБ БГУ::ОБЩЕСТВЕННЫЕ НАУКИ::Информатика|
|Publisher:||LMS Journal of Computation and Mathematics|
|Abstract:||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.|
|Appears in Collections:||Статьи факультета прикладной математики и информатики|
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