On the invariants of Bertrand trajectory surface offsets

DOI10.1016/S0096-3003(03)00534-4zbMath1048.65022OpenAlexW2020404331MaRDI QIDQ1827021

Osman Gürsoy, Ahmet Küçük

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00534-4

zbMATH Keywords

integral invariantsdevelopable surfacesspherical imagesdual characterizationsBertrand offset-surfacestrajectory ruled surfaces

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (7)

Dual Darboux frame of a timelike ruled surface and Darboux approach to Mannheim offsets of timelike ruled surfaces ⋮ A new method for designing involute trajectory timelike ruled surfaces in Minkowski 3-space ⋮ The new characterization of ruled surfaces corresponding dual Bézier curves ⋮ On the Bertrand offsets for ruled and developable surfaces ⋮ Some Results and Characterizations for Mannheim Offsets of the Ruled Surfaces ⋮ On the invariants of Mannheim offsets of timelike ruled surfaces with spacelike rulings ⋮ On the Bertrand pairs of open non-uniform rational B-spline curves

Cites Work

• Unnamed Item
• On the integral invariants of a closed ruled surface
• Bertrand offsets of ruled and developable surfaces
• The approximation of non-degenerate offset surfaces
• On the invariants of trajectory surfaces
• Integralinvarianten von Regelflächen

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