Results 11 to 20 of about 915 (260)
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
doaj +1 more source
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
doaj +1 more source
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
openaire +2 more sources
Principle and Method for Machining Face Gear with Developable Ruled Surface
Xibei Gongye Daxue Xuebao, 2020 The tooth surface of a face gear is recognized as un-developable ruled surface in tradition, which result in the problem that face gear generation using simple cutter with high efficiency and accuracy puzzled people for a long time.
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Bézier developable surfaces [PDF]
Computer Aided Geometric Design, 2017 26 pages, 10 figures, Computer Aided Geometric Design special number in memoriam Professor Gerald ...
openaire +3 more sources
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
doaj +1 more source
Developable mechanisms on developable surfaces
Science Robotics, 2019 Developable mechanisms are proposed as next-generation mechanical systems that can conform to and emerge from developable surfaces.
Todd G. Nelson +4 more
openaire +3 more sources