Results 11 to 20 of about 4,484,193 (288)
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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Developable mechanisms on developable surfaces [PDF]
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
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On Surface Approximation Using Developable Surfaces
Graphical Models and Image Processing, 1999 Summary: The author introduce a method for approximating a given surface by a developable surface. It will be either a \(G^1\) surface consisting of pieces of cones or cylinders of revolution or a \(G^r\) NURBS developable surface. This algorithm also deals properly with the problems of reverse engineering and produce robust approximation of given ...
H.-Y. Chen +5 more
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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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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
doaj +2 more sources
ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : This paper gives a method for determining a developable timelike ruled surface by using dual vector calculus. A developable timelike ruled surface can be parameterized in the form m(t, u) =p(t) +u x(t) ( p(t) is called the base curve of m(t, u)).
Mustafa KAZAZ
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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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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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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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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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