On the one-parameter dual spherical motions

DOI10.1016/J.CAGD.2010.09.007zbMath1218.65020OpenAlexW2090762961MaRDI QIDQ631059

Rashad A. Abdel-Baky, Reem A. Al-Ghefari

Publication date: 22 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2010.09.007

zbMATH Keywords

Lie algebraline geometryEuler-Savary formulaspatial kinematicsAxodeDisteli's formulaeE. Study's mapistantaneous screw axis

Mathematics Subject Classification ID

Kinematics of a rigid body (70B10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Descriptive geometry (51N05)

Related Items (10)

Ruled surfaces with constant Disteli-axis ⋮ One Parameter Elliptic Motions in Three-Dimensional Space ⋮ Unnamed Item ⋮ Time-like ruled surface in one-parameter hyperbolic dual spherical motions ⋮ Kinematic-geometry of a line trajectory and the invariants of the axodes ⋮ On the Bertrand offsets for ruled and developable surfaces ⋮ Evolutes of dual spherical curves for ruled surfaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Geometric continuity of ruled surfaces
• Contributions to the theory of the axes of curvature
• A new geometrical approach to one-parameter spatial motion
• Introducing Radius of Torsure and Cylindroid of Torsure
• Computational line geometry
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