Bézier motions with end-constraints on speed

DOI10.1016/j.cagd.2018.04.003zbMath1441.65020OpenAlexW2800372425MaRDI QIDQ1647792

Robert J. Cripps, Glen Mullineux, Benjamin Cross

Publication date: 27 June 2018

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

Full work available at URL: http://pure-oai.bham.ac.uk/ws/files/52680526/Mullineux_et_al_Bezier_motions_Computer_Aided_Geometric_Design_2018.pdf

zbMATH Keywords

geometric algebravelocity constraintBézier motionfree-form motion

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

\( C^1\) and \(G^1\) continuous rational motions using a conformal geometric algebra

Cites Work

• Hermite \(G^1\) rational spline motion of degree six
• Complex vector formalism of harmonic oscillator in geometric algebra: particle mass, spin and dynamics in complex vector space
• Geometric algebra with applications in engineering
• Interpolation schemes for rigid body motions
• Smooth orientation interpolation using parametric quintic-polynomial-based quaternion spline curve
• Hermite interpolation by rational \(G^K\) motions of low degree
• Geometric algebras for Euclidean geometry
• Bézier curves and \(C^{2}\) interpolation in Riemannian manifolds
• Tutorial: Structure-Preserving Representation of Euclidean Motions Through Conformal Geometric Algebra
• Determining conformal transformations in Rn from minimal correspondence data
• Modelling rigid origami with quaternions and dual quaternions
• On the Homogeneous Model of Euclidean Geometry
• Rigid-Body Transforms Using Symbolic Infinitesimals

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