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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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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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The Genus of a Developable Surface
Mathematical Proceedings of the Cambridge Philosophical Society, 1935Cayley'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.
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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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Approximation of surfaces of revolution by developable surfaces
Computer-Aided Design, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Developable Surfaces Through Sweeping Surfaces
Bulletin of the Iranian Mathematical Society, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Tangential developable surfaces as bonnet surfaces
Acta Mathematica Sinica, 1999Bonnet surfaces are those surfaces in Euclidean 3-space \({\mathbf E}^3\) that admit at least one nontrivial mean curvature preserving isometry \(\Phi\) (here ``nontrivial'' means that \(\Phi\) can not be extended to an isometry of \({\mathbf E}^3\)). A special class \((C3)\) among these surfaces are the ones that admit exactly one such isometry.
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The Development of a Surface Arthroplasty for the Elbow
Clinical Orthopaedics and Related Research, 1986Complex kinematics, anatomical features, and load distribution have contributed to the poor function of constrained and semiconstrained cemented arthroplasties of the elbow. Resurfacing by porous-coated components has the potential, by reproduction of normal joint geometry and restoration of ligament balance, to re-create relatively normal kinematics ...
C, Sorbie +4 more
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Surface modifications for the development of piezoimmunosensors
Biosensors and Bioelectronics, 1998Four different techniques for the immobilisation of proteins onto the gold electrode of a piezoelectric quartz crystal were investigated. The examined techniques were adsorption, avidin-biotin binding and two different types of covalent binding on self-assembled monolayers (SAM), dithiobis(succinimidylpropionate) (DSP) and a dextran modified thiol ...
S, Storri +3 more
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Pattern development for 3D surfaces
Computer-Aided Design, 1991The authors consider the problem how to derive development patterns for elliptic- and hyperbolic-curvature regions. This is essentially formulated in terms of Gaussian curvature. Therefore as an instructive example the problem of developing patches on a spherical surface or a torus is studied.
B. K. Hinds, J. McCartney, G. Woods
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