Results 41 to 50 of about 1,441 (285)
Freeform surfaces adaptation using developable strips and planar quadrilateral facets
Journal of Facade Design and Engineering, 2015 Almost all industrialized materials commonly employed at engineering and building construction are approximately unstretchable, metal sheets, plywood or glass.
Francisco Gonzalez-Quintial +2 more
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Generalized Developable Cubic Trigonometric Bézier Surfaces
Mathematics, 2021 This paper introduces a new approach for the fabrication of generalized developable cubic trigonometric Bézier (GDCT-Bézier) surfaces with shape parameters to address the fundamental issue of local surface shape adjustment.
Muhammad Ammad +3 more
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Designing Developable C-Bézier Surface with Shape Parameters
Mathematics, 2020 Developable surface plays an important role in geometric design, architectural design, and manufacturing of material. Bézier curve and surface are the main tools in the modeling of curve and surface.
Caiyun Li, Chungang Zhu
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Bertrand Offsets of Ruled Surfaces with Blaschke Frame in Euclidean 3-Space
Axioms, 2023 Dual representations of the Bertrand offset-surfaces are specified and several new results are gained in terms of their integral invariants. A new description of Bertrand offsets of developable surfaces is given.
Sahar H. Nazra, Rashad A. Abdel-Baky
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Developable Hermite Surfaces Constructed between Two Parallel and Oblique Planes
, 2022 The developable surfaces are useful in modeling plywood sheet installation and plat-metal-based industries. For this reason, this paper introduces the construction of cubic, quartic, and quintic developable Hermite surfaces with their boundary curves ...
Kusno
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Flattening developable bi-parametric surfaces
, 1996 This paper describes a computer method for transforming an arbitrary developable surface into a flattened pattern. Developable surfaces are a special class of ruled surfaces. The Gaussian curvature of any point of the developable surfaces is zero.
Tan, ST, Gan, MC, Chan, KW
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Normal Developable Surfaces of A Surface Along A Direction Curve [PDF]
Journal of the Indonesian Mathematical Society, 2020 We construct a developable surface normal to a surface along a curve on the surface. As differs from the work Hananoi, we choose the curve as the normal direction curve on which the new surface is formed in Euclidean space. We obtain some results about the uniqueness and the singularities of such developable surfaces.
Abdel-Baky, Rashad A. +1 more
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Construction of Developable Surfaces with Two Director Curves
Structural Mechanics of Engineering Constructions and BuildingsAn analysis of a number of published materials regarding four types of developable surfaces with two director (supporting) algebraic curves of the second order lying in parallel or in intersecting planes has been conducted.
Sergey N. Krivoshapko
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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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Approaching developable surfaces through shadow and penumbra
, 2023 This paper enquires into the relationship between the rigorous graphic construction of penumbra and shadow and the idea of a developable surface circumscribed to two cores (whether these are curves or surfaces).
Martín Pastor, Andrés +1 more
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