Results 251 to 260 of about 1,441 (285)
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Developable (1, n) - Bézier surfaces
Computer Aided Geometric Design, 1992The authors show that a rational Béziers patch of degree \((1,n)\) and control points \(p^{ij}\) (\(i=0,1\); \(j=0,\ldots,n\)) is a developable surface iff \[ \sum^{n-1}_{i,j,k,l=0}{n-1\choose i}{n-1\choose j}{n- 1\choose k}{n-1\choose l}\text{det}(p^{0i},p^{0j+1},p^{1k},p^{1l+1})=0 \] for all \(i+j+k+l=s\), \(0\leq s\leq 4n-4\).
Johann Lang
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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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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 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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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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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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Progess in superhydrophobic surface development
Soft Matter, 2008Research into extreme water-repellent surfaces began many decades ago, although it was only relatively recently that the term superhydrophobicity appeared in literature. Here we review the work on the preparation of superhydrophobic surfaces, with focus on the different techniques used and how they have developed over the years, with particular focus ...
Paul, Roach +2 more
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Recent developments in profiling optical surfaces
Applied Optics, 1992In order to better understand the fabrication of optical surfaces and be able to produce smoother, lower scatter surfaces, surface characterization needs to be extended into shorter and longer surface spatial wavelength regions. Scanning probe microscopes are now available to profile optical surfaces.
J M, Bennett, V, Elings, K, Kjoller
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