Curves with rational Frenet-Serret motion
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Publication:1389409
DOI10.1016/S0167-8396(97)81786-4zbMath0894.68150MaRDI QIDQ1389409
Michael G. Wagner, Bahram Ravani
Publication date: 30 June 1998
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
rational surfacepipe surfaceblending surfaceFrenet-Serret motionPH space curverational motionsweeping surfacetransition surface
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Cites Work
- Cyclides in computer aided geometric design. II
- Rational curves and surfaces with rational offsets
- Two moving coordinate frames for sweeping along a 3D trajectory
- Design of developable surfaces using duality between plane and point geometries
- A survey of blending methods that use parametric surfaces
- Axial deformations: An intuitive deformation technique
- Computing rational parametrizations of canal surfaces
- Curvature continuous connections of cones and cylinders
- Pythagorean-hodograph space curves
- Curve design with rational Pythagorean-hodograph curves
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