Smooth surfaces from bilinear patches: Discrete affine minimal surfaces
MetadataShow full item record
AbstractMotivated by applications in freeform architecture, we study surfaces which are composed of smoothly joined bilinear patches. These surfaces turn out to be discrete versions of negatively curved affine minimal surfaces and share many properties with their classical smooth counterparts. We present computational design approaches and study special cases which should be interesting for the architectural application. 2013 Elsevier B.V.
CitationKäferböck F, Pottmann H (2013) Smooth surfaces from bilinear patches: Discrete affine minimal surfaces. Computer Aided Geometric Design 30: 476-489. doi:10.1016/j.cagd.2013.02.008.
JournalComputer Aided Geometric Design
PubMed Central IDPMC3688334
The following license files are associated with this item:
Except where otherwise noted, this item's license is described as http://creativecommons.org/licenses/by-nc-nd/3.0/
- Comparative assessment of freeform polynomials as optical surface descriptions.
- Authors: Kaya I, Thompson KP, Rolland JP
- Issue date: 2012 Sep 24
- Planar Hexagonal Meshing for Architecture.
- Authors: Li Y, Liu Y, Wang W
- Issue date: 2015 Jan
- A computational model for shape from texture.
- Authors: Malik J, Rosenholtz R
- Issue date: 1994
- Freeform manufacturing of a microoptical lens array on a steep curved substrate by use of a voice coil fast tool servo.
- Authors: Scheiding S, Yi AY, Gebhardt A, Li L, Risse S, Eberhardt R, Tünnermann A
- Issue date: 2011 Nov 21
- Micrometer scale adhesion on nanometer-scale patchy surfaces: adhesion rates, adhesion thresholds, and curvature-based selectivity.
- Authors: Santore MM, Kozlova N
- Issue date: 2007 Apr 24
Showing items related by title, author, creator and subject.
Imaging near-surface heterogeneities by natural migration of backscattered surface wavesAlTheyab, Abdullah; Lin, Fan-Chi; Schuster, Gerard T. (Oxford University Press (OUP), 2016-02-01)We present a migration method that does not require a velocity model to migrate backscattered surface waves to their projected locations on the surface. This migration method, denoted as natural migration, uses recorded Green's functions along the surface instead of simulated Green's functions. The key assumptions are that the scattering bodies are within the depth interrogated by the surface waves, and the Green's functions are recorded with dense receiver sampling along the free surface. This natural migration takes into account all orders of multiples, mode conversions and non-linear effects of surface waves in the data. The natural imaging formulae are derived for both active source and ambient-noise data, and computer simulations show that natural migration can effectively image near-surface heterogeneities with typical ambient-noise sources and geophone distributions.
Reproducibility of crop surface maps extracted from Unmanned Aerial Vehicle (UAV) derived digital surface mapsParkes, Stephen; McCabe, Matthew; Al-Mashhawari, Samir K.; Rosas, Jorge (SPIE-Intl Soc Optical Eng, 2016-10-25)Crop height measured from UAVs fitted with commercially available RGB cameras provide an affordable alternative to retrieve field scale high resolution estimates. The study presents an assessment of between flight reproducibility of Crop Surface Maps (CSM) extracted from Digital Surface Maps (DSM) generated by Structure from Motion (SfM) algorithms. Flights were conducted over a centre pivot irrigation system covered with an alfalfa crop. An important step in calculating the absolute crop height from the UAV derived DSM is determining the height of the underlying terrain. Here we use automatic thresholding techniques applied to RGB vegetation index maps to classify vegetated and soil pixels. From interpolation of classified soil pixels, a terrain map is calculated and subtracted from the DSM. The influence of three different thresholding techniques on CSMs are investigated. Median Alfalfa crop heights determined with the different thresholding methods varied from 18cm for K means thresholding to 13cm for Otsu thresholding methods. Otsu thresholding also gave the smallest range of crop heights and K means thresholding the largest. Reproducibility of median crop heights between flight surveys was 4-6cm for all thresholding techniques. For the flight conducted later in the afternoon shadowing caused soil pixels to be classified as vegetation in key locations around the domain, leading to lower crop height estimates. The range of crop heights was similar for both flights using K means thresholding (35-36cm), local minimum thresholding depended on whether raw or normalised RGB intensities were used to calculate vegetation indices (30-35cm), while Otsu thresholding had a smaller range of heights and varied most between flights (26-30cm). This study showed that crop heights from multiple survey flights are comparable, however, they were dependent on the thresholding method applied to classify soil pixels and the time of day the flight was conducted.
Rapid Surface Oxidation as a Source of Surface Degradation Factor for Bi 2 Se 3Kong, Desheng; Cha, Judy J.; Lai, Keji; Peng, Hailin; Analytis, James G.; Meister, Stefan; Chen, Yulin; Zhang, Hai-Jun; Fisher, Ian R.; Shen, Zhi-Xun; Cui, Yi (American Chemical Society (ACS), 2011-06-28)Bismuth selenide (Bi2Se3) is a topological insulator with metallic surface states (SS) residing in a large bulk bandgap. In experiments, synthesized Bi2Se3 is often heavily n-type doped due to selenium vacancies. Furthermore, it is discovered from experiments on bulk single crystals that Bi2Se3 gets additional n-type doping after exposure to the atmosphere, thereby reducing the relative contribution of SS in total conductivity. In this article, transport measurements on Bi2Se3 nanoribbons provide additional evidence of such environmental doping process. Systematic surface composition analyses by X-ray photoelectron spectroscopy reveal fast formation and continuous growth of native oxide on Bi2Se3 under ambient conditions. In addition to n-type doping at the surface, such surface oxidation is likely the material origin of the degradation of topological SS. Appropriate surface passivation or encapsulation may be required to probe topological SS of Bi2Se3 by transport measurements. © 2011 American Chemical Society.