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Kinematic Generation of Ruled Surfaces
Advances in Computational Mathematics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kenneth Sprott, Bahram Ravani
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Implicitizing ruled translational surfaces
Computer Aided Geometric Design, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haohao Wang, Ron Goldman 0002
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The intersection of two ruled surfaces
Computer-Aided Design, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hee-Seok Heo +2 more
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Piecewise Ruled Approximation for Freeform Mesh Surfaces [PDF]
ACM Transactions on GraphicsA ruled surface is a shape swept out by moving a line in 3D space. Due to their simple geometric forms, ruled surfaces have applications in various domains such as architecture and engineering.
Bailin Deng
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Acta Mathematica Sinica, English Series, 2005
Bonnet surfaces are those immersions into Euclidean 3-space whose congruence class is not uniquely determined by their metric and mean curvature. As already proven by Bonnet, all Bonnet surfaces belong to one of the following classes: constant mean curvature surfaces, Bonnet families and Bonnet pairs.
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Bonnet surfaces are those immersions into Euclidean 3-space whose congruence class is not uniquely determined by their metric and mean curvature. As already proven by Bonnet, all Bonnet surfaces belong to one of the following classes: constant mean curvature surfaces, Bonnet families and Bonnet pairs.
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On the Curvature Functions of Ruled Surface
International Journal of Computational Geometry & ApplicationsWe considered differential geometries of helical curves for ruled and developable surfaces in Euclidean 3-space E 3. We clarify the conditions for ruled surface to become stationary-axis ruled surface. Then, we concentrate on ruled surface generated by a line undergoing a one-parameter screw movement. Finally, we provide some modules to illustrate the
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Rational Ruled Surfaces and Their Offsets
Graphical Models and Image Processing, 1996Abstract In this paper, geometric design problems for rational ruled surfaces are studied. We investigate a line geometric control structure and its connection to the standard tensor product B-spline representation, the use of the Klein model of line space, and algorithms for geometry processing.
Helmut Pottmann, Wei Lü, Bahram Ravani
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On Finite Morphisms of Ruled Surfaces
Geometriae Dedicata, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Characterizations of Parallel q-Equidistant Ruled Surfaces
Symmetry, 2022Yanlin Li +2 more
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Geometric Algebra of Singular Ruled Surfaces
Advances in Applied Clifford Algebras, 2021Yanlin Li +2 more
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