Animated rotations using quaternions and splines on a 4D sphere

zbMath0875.68913MaRDI QIDQ1817179

Gregory M. Nielson, Randy Heiland

Publication date: 13 May 1997

Published in: Programming and Computer Software (Search for Journal in Brave)

zbMATH Keywords

splinesquaternion representationrotation matrixfour-dimensional sphereanimated rotationscurve interpolation scheme

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (8)

A constructive approximation of interpolating Bézier curves on Riemannian symmetric spaces ⋮ Spherical splines and orientation interpolation ⋮ The shape of spherical quartics ⋮ Smooth orientation interpolation using parametric quintic-polynomial-based quaternion spline curve ⋮ On parametric smoothness of generalised B-spline curves ⋮ A class of generalized B-spline quaternion curves ⋮ Bézier curves and \(C^{2}\) interpolation in Riemannian manifolds ⋮ \(C^{2}\) spherical Bézier splines

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