Results 261 to 270 of about 23,042,479 (320)

The Genus of a Developable Surface

Mathematical Proceedings of the Cambridge Philosophical Society, 1935
Cayley's remark that the formula by which the genus of a surface, according to Clebsch's definition, may presumably be computed leads to a negative number in the case of a cone, or a developable surface, or a ruled surface in general, has great importance in the history of the theory.
H. Baker
semanticscholar   +3 more sources

Approximation algorithms for developable surfaces

Computer Aided Geometric Design, 1999
By its dual representation, a developable surface can be viewed as a curve of dual projective 3-space. After introducing an appropriate metric in the dual space and restricting ourselves to special parametrizations of the surfaces involved, we derive ...
Helmut Pottmann, Johannes Wallner
exaly   +4 more sources

Developable surface pencil pairs with special pairs as common asymptotes

Applied Mathematics and Computation, 2019
Developable surface is widely used in the design and machining of industrial products. In this paper, developable surface pencil pairs with Natural pair and Conjugate pair (hereinafter referred to as special pairs) as common asymptotes are proposed and ...
Jianmin Wang, Ping Jiang
exaly   +2 more sources

An approach for designing a developable surface through a given line of curvature

CAD Computer Aided Design, 2013
Cai-Yun Li, Ren-Hong Wang, Chun-Gang Zhu   +2 more
exaly   +2 more sources

Developable surface fitting to point clouds

Computer Aided Geometric Design, 2004
Martin Peternell
exaly   +2 more sources

A new method for designing a developable surface utilizing the surface pencil through a given curve

Progress in Natural Science: Materials International, 2008
This paper proposes a new method for designing a developable surface by constructing a surface pencil passing through a given curve, which is quite in accord with the practice in industry design and manufacture.
Hong-Yan Zhao, Guojin Wang
exaly   +2 more sources

Matching of developable surfaces

Proceedings. 1988 IEEE International Conference on Robotics and Automation, 2003
A 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
openaire   +1 more source

Development of surface display

Proceedings of IEEE Virtual Reality Annual International Symposium, 2002
As 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
openaire   +1 more source

Complex Surface Fabrication Via Developable Surface Approximation: A Survey

IEEE Transactions on Visualization and Computer Graphics
Complex surfaces are commonly observed in various applications and have significant value in enhancing comfort, aesthetics, and functionality. However, their fabrication often involves complex and costly processes. To simplify the fabrication difficulty,
Chao Yuan, Nan Cao, Yang Shi
semanticscholar   +1 more source

Developable Conditions for Ruled Surfaces and Design of Developable Surfaces

2009 IEEE 10th International Conference on Computer-Aided Industrial Design & Conceptual Design, 2009
With 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, null Zhengli, null Zuoping Chen, null Xiaohong An   +3 more
openaire   +1 more source