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The Quickhull algorithm for convex hulls

by C. Bradford Barber, David P. Dobkin, Hannu Huhdanpaa - ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE , 1996
"... The convex hull of a set of points is the smallest convex set that contains the points. This article presents a practical convex hull algorithm that combines the two-dimensional Quickhull Algorithm with the general-dimension Beneath-Beyond Algorithm. It is similar to the randomized, incremental algo ..."
Abstract - Cited by 713 (0 self) - Add to MetaCart
is implemented with floating-point arithmetic, this assumption can lead to serious errors. We briefly describe a solution to this problem when computing the convex hull in two, three, or four dimensions. The output is a set of “thick ” facets that contain all possible exact convex hulls of the input. A variation

LifeLines: Visualizing Personal Histories

by Catherine Plaisant, Brett Milash, Anne Rose, Seth Widoff, Ben Shneiderman , 1996
"... LifeLines provide a general visualization environment for personal histories that can be applied to medical and court records, professional histories and other types of biographical data. A one screen overview shows multiple facets of the records. Aspects, for example medical conditions or legal cas ..."
Abstract - Cited by 226 (28 self) - Add to MetaCart
LifeLines provide a general visualization environment for personal histories that can be applied to medical and court records, professional histories and other types of biographical data. A one screen overview shows multiple facets of the records. Aspects, for example medical conditions or legal

Nanodomain faceting in ferroelectrics

by J F Scott, A Gruverman, D Wu, I Vrejoiu, M Alexe , 2008
"... We show that after long times (24 h), individual circular domains in 50 nm thick [001] epitaxial films of ferroelectric lead zirconate titanate (PZT) develop facets due to the crystalline anisotropy, e.g. along [100] directions. This appears to be a creep process (Tybell et al 2002 Phys. Rev. Lett. ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
We show that after long times (24 h), individual circular domains in 50 nm thick [001] epitaxial films of ferroelectric lead zirconate titanate (PZT) develop facets due to the crystalline anisotropy, e.g. along [100] directions. This appears to be a creep process (Tybell et al 2002 Phys. Rev. Lett

Ultrathin Anatase TiO2 Nanosheets Dominated with {001} Facets: Thickness-Controlled Synthesis, Growth Mechanism, and Water-

by unknown authors
"... Ultrathin anatase TiO2 nanosheets with dominant {001} facets (~82%) and controllable thickness (1.6–2.7 nm) were firstly synthesized by using a modified one-pot hydrothermal route. As a morphology controlling agent, the concentration of hydrofluoric acid has significant impact on the thickness of th ..."
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Ultrathin anatase TiO2 nanosheets with dominant {001} facets (~82%) and controllable thickness (1.6–2.7 nm) were firstly synthesized by using a modified one-pot hydrothermal route. As a morphology controlling agent, the concentration of hydrofluoric acid has significant impact on the thickness

Anxieties, and Thick Desire

by Michelle Fine
"... In this chapter, we extend our earlier work on sexuality education in U.S. public schools in which we forwarded a theory of adolescent sexuality, which we called thick desire (Fine & McClelland, 2006). We chose the metaphor of thickness in order to evoke the multi-faceted ‘nature ’ of sexual ..."
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In this chapter, we extend our earlier work on sexuality education in U.S. public schools in which we forwarded a theory of adolescent sexuality, which we called thick desire (Fine & McClelland, 2006). We chose the metaphor of thickness in order to evoke the multi-faceted ‘nature ’ of sexual

Faceting and Roughening of the Asymmetric Twin Grain Boundaries in Zinc

by B. B. Straumal, V. G. Sursaeva, S. A. Polyakov
"... Faceting of grain boundaries (GBs) or surfaces can be considered as a phase transition when the original surface or GB dissociates onto flat segments whose energy is less than that of original surface or GB. Zn 1120 flat single crystals were grown using the modified Bridgman technique from Zn of 99. ..."
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.999 wt. % purity. Individual elongated twin plates having very uniform thickness were produced with the aid of slight deformation of single crystals. Parallel elongated sides of the twin plate are formed by the coherent symmetric twin ()1102 1|| ()1102 2 grain boundary (STGB) facets. Due to its optical

A higher-order facet quadrilateral composite shell element

by Tarun Kant, Rakesh, K. Khare - International J. Numer. Methods Eng , 1997
"... A C0 Þnite element formulation of ßat faceted element based on a higher-order displacement model is presented for the analysis of general, thin-to-thick, Þbre reinforced composite laminated plates and shells. This theory incorporates a realistic non-linear variation of displacements through the shel ..."
Abstract - Cited by 3 (0 self) - Add to MetaCart
A C0 Þnite element formulation of ßat faceted element based on a higher-order displacement model is presented for the analysis of general, thin-to-thick, Þbre reinforced composite laminated plates and shells. This theory incorporates a realistic non-linear variation of displacements through

Optical Coatings for Laser Facets Fabricated by Reactive Ion-Beam Sputter Deposition

by unknown authors
"... Reactive ion-beam sputter deposition is the preferred method to fabricate stoichiometric and dense layers for optical coatings with very low optical absorption. The refractive in-dices and thicknesses of such single- or multilayers can be optimized to get the required re-ectivities for antire ection ..."
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Reactive ion-beam sputter deposition is the preferred method to fabricate stoichiometric and dense layers for optical coatings with very low optical absorption. The refractive in-dices and thicknesses of such single- or multilayers can be optimized to get the required re-ectivities for antire

Abstract Simulation of faceted film growth in three dimensions: microstructure, morphology and texture

by Peter Smereka A, Xingquan Li B, Giovanni Russo C, D. J. Srolovitz D , 2004
"... We present the results of a series of simulations of the growth of polycrystalline, faceted films in three spatial dimensions. The simulations are based upon the assumptions of the well known van der Drift model in which the growth rate of each surface is fixed only by its crystallographic orientati ..."
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We present the results of a series of simulations of the growth of polycrystalline, faceted films in three spatial dimensions. The simulations are based upon the assumptions of the well known van der Drift model in which the growth rate of each surface is fixed only by its crystallographic

Wetting layer thickness and early evolution of epitaxially strained thin films

by Helen R Eisenberg , Daniel Kandel
"... We propose a physical model which explains the existence of finite thickness wetting layers in epitaxially strained films. The finite wetting layer is shown to be stable due to the variation of the nonlinear elastic free energy with film thickness. We show that anisotropic surface tension gives ris ..."
Abstract - Cited by 3 (0 self) - Add to MetaCart
We propose a physical model which explains the existence of finite thickness wetting layers in epitaxially strained films. The finite wetting layer is shown to be stable due to the variation of the nonlinear elastic free energy with film thickness. We show that anisotropic surface tension gives
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