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Bézier developable surfaces [PDF]

open access: yesComputer Aided Geometric Design, 2017
26 pages, 10 figures, Computer Aided Geometric Design special number in memoriam Professor Gerald ...
Leonardo Fernández-Jambrina
exaly   +5 more sources
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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   +2 more sources

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

Discrete Geodesic Nets for Modeling Developable Surfaces

open access: yesACM Transactions on Graphics, 2018
We present a discrete theory for modeling developable surfaces as quadrilateral meshes satisfying simple angle constraints. The basis of our model is a lesser-known characterization of developable surfaces as manifolds that can be parameterized through ...
Olga Sorkine-Hornung
exaly   +2 more sources

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   +3 more
openaire   +1 more source

Interactive Design of Developable Surfaces [PDF]

open access: yesACM Transactions on Graphics, 2016
We present a new approach to geometric modeling with developable surfaces and the design of curved-creased origami. We represent developables as splines and express the nonlinear conditions relating to developability and curved folds as quadratic equations.
Johannes Peter Wallner   +2 more
exaly   +4 more sources

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.
openaire   +2 more sources

Approximation of developable surfaces with cone spline surfaces

Computer-Aided Design, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stefan Leopoldseder, Helmut Pottmann
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