Results 241 to 250 of about 1,441 (285)
Singularities for Timelike Developable Surfaces in Minkowski 3-Space
Symmetry, 2023 In this paper, we consider the singularities and geometrical properties of timelike developable surfaces with Bishop frame in Minkowski 3-space. Taking advantage of the singularity theory, we give the classification of generic singularities of these ...
Yanlin Li +2 more
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An Overview of Developable Surfaces in Geometric Modeling
Recent Patents on Engineering, 2022 Background: A developable surface is a special ruled surface with vanishing Gaussian curvature. The study of developable surfaces is of interest in both academia and industry.
Yuzhe Zhang, Jianmin Zheng
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Singularities for One-Parameter Developable Surfaces of Curves
Symmetry, 2019 Developable surfaces, which are important objects of study, have attracted a lot of attention from many mathematicians. In this paper, we study the geometric properties of one-parameter developable surfaces associated with regular curves.
Donghe Pei, Yongqiao Wang, Pei Donghe
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B-spline control nets for developable surfaces
Computer Aided Geometric Design, 2007 In this paper a linear algorithm is derived for constructing B-spline control nets for spline developable surfaces of arbitrary degree and number of pieces.
L Fernández-Jambrina
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Industrial design using interpolatory discrete developable surfaces
CAD Computer Aided Design, 2011 Design using free-form developable surfaces plays an important role in the manufacturing industry. Currently most commercial systems can only support converting free-form surfaces into approximate developable surfaces.
Yong-Jin Liu, Kai Tang
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On Surface Approximation Using Developable Surfaces
Graphical Models and Image Processing, 1999Summary: 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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Matching of developable surfaces
Proceedings. 1988 IEEE International Conference on Robotics and Automation, 2003A matching algorithm is presented for the recognition of an important class of surfaces called the developable surface. Such a surface is represented by a line-of-curvature description (LCD). The algorithm matches the LCD of an unknown surface and those of model surfaces on the Gaussian sphere to determine the corresponding model surface of the unknown.
H. Q. Lu, T. W. Sze
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Development of surface display
Proceedings of IEEE Virtual Reality Annual International Symposium, 2002As a methodology to develop a force feedback system, the concept of "surface displaying" is introduced. A prototype mechanism and its control system is then designed and developed. Methodology for model calculation and simulation is discussed. The idea of texture mapping in a tactile sense is suggested, and is proven to be effective. >
Koichi Hirota, Michitaka Hirose
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Developable Conditions for Ruled Surfaces and Design of Developable Surfaces
2009 IEEE 10th International Conference on Computer-Aided Industrial Design & Conceptual Design, 2009With the operator representation of Bezier curves, we first derive the sufficient and necessary conditions of a ruled surface being a developable surface, where the ruled surface is generated from two Bezier curves of degree m and n respectively as its boundary curves.
null Shuxun Wang +3 more
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Approximation of developable surfaces with cone spline surfaces
Computer-Aided Design, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stefan Leopoldseder, Helmut Pottmann
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