Results 11 to 20 of about 641 (254)
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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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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G3 Shape Adjustable GHT-Bézier Developable Surfaces and Their Applications
Mathematics, 2021 In this article, we proposed a novel method for the construction of generalized hybrid trigonometric (GHT-Bézier) developable surfaces to tackle the issue of modeling and shape designing in engineering.
Samia BiBi +4 more
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Advances in Difference Equations, 2021 Developable surfaces have a vital part in geometric modeling, architectural design, and material manufacturing. Developable Bézier surfaces are the important tools in the construction of developable surfaces, but due to polynomial depiction and having no
Sidra Maqsood +5 more
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Timelike-Ruled and Developable Surfaces in Minkowski 3-Space E13
Frontiers in Physics, 2022 In this study, the timelike-ruled and developable surfaces are constructed in Minkowski 3-space E13. Using the E. Study map, we demonstrate that dual forms of timelike-ruled and developable surfaces can be obtained from the coordinates and first ...
Fatemah Mofarreh
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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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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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Flexible Developable Surfaces [PDF]
Computer Graphics Forum, 2012 AbstractWe introduce a discrete paradigm for developable surface modeling. Unlike previous attempts at interactive developable surface modeling, our system is able to enforce exact developability at every step, ensuring that users do not inadvertently suggest configurations that leave the manifold of admissible folds of a flat two‐dimensional sheet ...
Solomon, Justin +3 more
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Tangential developable surfaces and their application in real structures
Structural Mechanics of Engineering Constructions and Buildings, 2022 A class of developable surfaces contains cylindrical, conical, and tangential developable surfaces. Tangential developable surfaces are ruled surfaces of zero Gaussian curvature with cuspidal edges.
Sergey N. Krivoshapko +1 more
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Developable Surfaces Foliated by General Ellipses in Euclidean Space R3
Mathematics, 2023 In this article, we classify the developable surfaces in three-dimensional Euclidean space R3 that are foliated by general ellipses. We show that the surface has constant Gaussian curvature (CGC) and is foliated by general ellipses if and only if the ...
Ahmad T. Ali
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