De Casteljau's algorithm on manifolds

DOI10.1016/j.cagd.2013.06.002zbMath1286.65023OpenAlexW2078188038WikidataQ125576496 ScholiaQ125576496MaRDI QIDQ2443068

Yanyan Li

Publication date: 4 April 2014

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2013.06.002

zbMATH Keywords

symmetric spacesRiemannian manifoldruled surfaceLie grouprigid body motionpositive definite matrixBézier curvecurve designnonlinear subdivisioncanal surfaceEuclidean groupDe Casteljau's algorithm

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (7)

Differentiable Piecewise-Bézier Surfaces on Riemannian Manifolds ⋮ What do `convexities' imply on Hadamard manifolds? ⋮ Apollonian de Casteljau-type algorithms for complex rational Bézier curves ⋮ Sasaki metric for spline models of manifold-valued trajectories ⋮ Hermite Interpolation and Data Processing Errors on Riemannian Matrix Manifolds ⋮ A modified Casteljau algorithm to solve interpolation problems on Stiefel manifolds ⋮ 7 Manifold interpolation

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