Smooth surfaces from bilinear patches: Discrete affine minimal surfaces
Permanent link to this recordhttp://hdl.handle.net/10754/334572
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.
From Terahertz Surface Waves to Spoof Surface Plasmon PolaritonsXu, Yuehong; Zhang, Ying; Xu, Quan; Zhang, Xueqian; Li, Yanfeng; Gu, Jianqiang; Tian, Zhen; Ouyang, Chunmei; Zhang, Xixiang; Zhang, Weili; Han, Jiaguang (2018 43rd International Conference on Infrared, Millimeter, and Terahertz Waves (IRMMW-THz), IEEE, 2018-11-16) [Conference Paper]Surface plasmon polaritons (SPPs) promise versatile potential applications in many aspects and thus have been a subject of enormous interest. However, in the terahertz regime, due to perfect conductivity of most metals, it is hard to realize a strong confinement of SPPs although a propagation loss could be sufficiently low. Here we introduce the recent work from terahertz surface waves to spoof SPPs based on metasurfaces.
High quality broadband spatial reflections of slow Rayleigh surface acoustic waves modulated by a graded grooved surfaceXu, Yanlong; Peng, Pai (Journal of Applied Physics, AIP Publishing, 2015-01-21) [Article]We report high quality broadband spatial reflections of Rayleigh surface acoustic waves (SAWs) through a graded grooved surface. High quality means that no wave is allowed to transmit and the incident wave is nearly all reflected to the input side. The graded grooved surface is structured by drilling one dimensional array of graded grooves with increased depths on a flat surface. We investigate SAW dispersion relations, wave field distribution at several typical SAW wavelengths, and time evolution of a Gaussian pulse through the graded grooved surface. Results show that the input broadband Rayleigh SAWs can be slowed, spatially enhanced and stopped, and finally reflected to the input side. The study suggests that engraving the flat surface can be used as an efficient and economical way to manipulate Rayleigh SAWs, which has potential application in novel SAW devices such as filters, reflectors, sensors, energy harvesters, and diodes.
Effects of surface shape on the geometry and surface topography of the melt pool in low-power density laser meltingKim, Youngdeuk; Kim, Wooseung (AIChE Journal, Wiley-Blackwell, 2011-04-15) [Article]The quantitative correlations between workpiece volume and melt pool geometry, as well as the flow and thermal features of the melt pool are established. Thermocapillary convections in melt pool with a deformable free surface are investigated with respect to surface shape and laser intensity. When the contact angle between the tangent to the top surface and the vertical wall at the hot center is acute, the free surface flattens, compared with that of the initial free surface. Otherwise, the free surface forms a bowl-like shape with a deep crater and a low peripheral rim when the contact angle at the hot center is obtuse. Increasing the workpiece volume at a fixed laser intensity and a negative radial height gradient cause linear decreases in the geometric size and magnitude of flow and temperature of the melt pool. Conversely, linear increases are observed with a positive radial height gradient. © 2011 American Institute of Chemical Engineers (AIChE).