Results 1 to 10 of about 168,150,866 (290)
SURFACES WITH PLANAR LINES OF CURVATURE [PDF]
Honam Mathematical Journal, 2010 Let \(X\) be a plane curve in Euclidean 3-space. If a curve is fixed in the normal plane and moved along \(X\), then it generates a surface \(H\) which the authors call generalized slant cylinder. In this process the normal plane rolls on a cylinder whose base curve is the evolute of \(X\). Such a surface \(H\) is called molding surface by \textit{L. P.
Kim, Dong-Soo, Kim, Young Ho
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Uniform Convergence of Discrete Curvatures from Nets of Curvature Lines [PDF]
Discrete & Computational Geometry, 2010 We study discrete curvatures computed from nets of curvature lines on a given smooth surface, and prove their uniform convergence to smooth principal curvatures. We provide explicit error bounds, with constants depending only on properties of the smooth limit surface and the shape regularity of the discrete net.
Ulrich Bauer +2 more
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Advances in Mechanical Engineering, 2017 The main objective of this article is to propose a practical methodology to compute the induced curvature parameters for a line-conjugated tooth surface couple based on the normal vector of its instantaneous contact line.
Yaping Zhao, Yimin Zhang
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A unified method for constructing developable surface pencils interpolating characteristic curves
Frontiers in Physics, 2022 Developable surface is a simple and common surface in surface modeling. Geodesic, line of curvature, asymptotic curve, and D-type curve are important characteristic curves on the surfaces.
Jun Wang, Miaochao Chen, Dongyin Wang
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Lines of Curvature on the Double Torus
Lobachevskii Journal of Mathematics, 2022 21 pages, 4 ...
Monera, M. G. +2 more
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Construction of Developable Surface with Geodesic or Line of Curvature Coordinates
Journal of New Theory, 2021 In this paper, a developable surface with geodesic or line of curvature coordinates is constructed in the Euclidean 3-space. A developable surface is coordinated by two families of parametric curves, base curves (directrices) and lines (rulings).
Nabil Althibany
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Buildings, 2023 There is no analytical solution to the deflection influence line of catenary hingeless arches nor an explicit solution to the deflection influence line difference curvature of variable section hingeless arches.
Yu Zhou +5 more
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The methodology of design of satellite working mechanism of positive displacement machine
Scientific Reports, 2022 In this paper is described a methodology of design of satellite mechanism consisting of two non-circular gears (externally toothed rotor and internally toothed curvature) and circular gears (satellites).
Pawel Sliwinski
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Zero crossings on lines of curvature [PDF]
Computer Vision, Graphics, and Image Processing, 1989 Abstract We investigate how much information can be found about the geometry of an object from an image when the general form of the reflection function is known but its specific form is not. We prove theorems showing that the zero crossings of the second directional derivatives occur near the extrema of the curvature along the principal directions ...
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Interpolation of Surfaces with Line of Curvature
International Electronic Journal of Geometry, 2021 We introduce a method to construct parametric surfaces interpolating given finite points and a curve as a line of curvature in 3-dimensional Euclidean space. We present an existence theorem of a $C^{0}$-Hermite interpolation of surfaces possessing the given data.
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