Results 21 to 30 of about 23,042,479 (320)
Diségno, 2018 Geometric genesis of surfaces and knowledge of their properties are basis for solving many problems, both constructive and measurement. A developable surface can be manufactured starting from a flat “strip”, using a flexible and non-deformable material.
Mara Capone
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Quasi-Developable Mesh Surface Interpolation via Mesh Deformation
IEEE Transactions on Visualization and Computer Graphics, 2009 We present a new algorithm for finding a most "developable" smooth mesh surface to interpolate a given set of arbitrary points or space curves. Inspired by the recent progress in mesh editing that employs the concepts of preserving the Laplacian ...
Chen, Ming +3 more
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Caustics of developable surfaces [PDF]
Frontiers of Information Technology & Electronic Engineering, 2022 Abstract While considering a mirror and light rays coming either from a point source or from infinity, the reflected light rays may have an envelope, called a caustic curve. In this paper, we study developable surfaces as mirrors. These caustic surfaces, described in a closed form, are also developable surfaces of the same type as the
Miklós Hoffmann +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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Design of developable surfaces using the given data points
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2021 Many products such as ships, buildings, and clothes contain developable surfaces generated by sweeping a straight line along a three-dimensional curve.
Kotaro YOSHIDA +4 more
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Modeling Developable Surfaces using Quintic Bézier and Hermite Curves [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2023 The nature of the developable surfaces has similarities to the industrial materials that are not amenable to stretching. Regarding the benefit, the developable surfaces are widely used to model plat-metal-based industry products such as automobiles, ship
Kusno
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Developable surface patches bounded by NURBS curves [PDF]
Journal of Computational Mathematics, 2019 In this paper we construct developable surface patches which are bounded by two rational or NURBS curves, though the resulting patch is not a rational or NURBS surface in general. This is accomplished by reparameterizing one of the boundary curves.
L. Fernández-Jambrina +1 more
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Mechanics & Industry, 2023 The shape optimization design of the developable surface is an important research topic in CAD/CAM, and it is widely used in engineering manufacturing.
Lu Jing +3 more
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Interpolation of a spline developable surface between a curve and two rulings [PDF]
Frontiers of Information Technology & Electronic Engineering, 2015 In this paper we address the problem of interpolating a spline developable patch bounded by a given spline curve and the first and the last rulings of the developable surface.
A. Cantón, Leonardo Fernández-Jambrina
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Geometry of the normal ruled surfaces
Structural Mechanics of Engineering Constructions and Buildings, 2021 The wide circle of the surfaces formed by the motion of the right line in the normal plain of some base directrix curve is regarded. The generate right line may rotate at some low at the normal plane of the base curve.
Vyacheslav N. Ivanov
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