Flexible Developable Surfaces [PDF]
Computer Graphics Forum, 2012 We 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 ...
Solomon, Justin +3 more
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Theories and Methods for Development of Developable Ruled Surfaces and Approximate Flattening of Non-developable Surfaces [PDF]
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
doaj +4 more sources
A Stream Function Smoothing Method for the Design of MRI Gradient Coils on Non-Developable Surfaces [PDF]
Sensors, 2023 Insert gradient coils with similar imaging body shapes typically have smaller dimensions and higher spatial efficiency. This often allows the gradient coils the achievement of stronger and faster gradient fields.
Bohan Yang +3 more
doaj +2 more sources
Developable Mechanisms on Developable Surfaces
Science Robotics, 2019 The trend toward smaller mechanism footprints and volumes, while maintaining the ability to perform complex tasks, presents the opportunity for exploration of hypercompact mechanical systems integrated with curved surfaces.
Lang, Robert J. +4 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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On the parallel surfaces of the non-developable surfaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In the differential geometry of curves and surfaces, the curvatures of curves and surfaces are often calculated and results are given. In particular, the results given by using the apparatus of the curve - surface pair are important in terms of what ...
Ali ¸Cakmak, Yusuf Yaylı
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Stamping Lithography on Arbitrary Surfaces based on Self‐Assembly of Colloidal Particles [PDF]
Advanced ScienceThree‐dimensional (3D) circuits on curved surfaces have been widely used in conformal antennas, intelligent skins, metasurfaces, and bionic electronics.
Guoxu Yu +8 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
doaj +2 more sources
Engineering oriented shape optimization of GHT-Bézier developable surfaces using a meta heuristic approach with CAD/CAM applications [PDF]
Scientific ReportsOptimization techniques are particularly useful when designing different free-form surfaces and manufacturing products in the engineering and CAD/CAM fields.
Samia BiBi +6 more
doaj +2 more sources
Developable surfaces with prescribed boundary [PDF]
, 2021 It is proved that a generic simple, closed, piecewise regular curve in space can be the boundary of only infinitely many developable surfaces with nonvanishing mean curvature.
Franco Coltraro +7 more
core +6 more sources