A New Geometric Algorithm to Generate Smooth Interpolating Curves on Riemannian Manifolds

DOI10.1112/S146115700000098XzbMath1125.41010WikidataQ115255815 ScholiaQ115255815MaRDI QIDQ3430813

Janusz Jakubiak, Rui C. Rodrigues, Fátima Silva Leite

Publication date: 4 April 2007

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.lms.ac.uk/jcm/8/lms2005-021/

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17) Approximation by other special function classes (41A30)

Related Items (4)

A constructive approximation of interpolating Bézier curves on Riemannian symmetric spaces ⋮ Construction of spline curves on smooth manifolds by action of Lie groups ⋮ A two-step algorithm of smooth spline generation on Riemannian manifolds ⋮ A modified Casteljau algorithm to solve interpolation problems on Stiefel manifolds

Cites Work

• Unnamed Item
• The De Casteljau algorithm on Lie groups and spheres
• Generating curves and swept surfaces by blended circles

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