Disk Density Tuning of a Maximal Random Packing

dc.contributor.authorEbeida, Mohamed S.en_US
dc.contributor.authorRushdi, Ahmad A.en_US
dc.contributor.authorAwad, Muhammad A.en_US
dc.contributor.authorMahmoud, Ahmed H.en_US
dc.contributor.authorYan, Dong-Mingen_US
dc.contributor.authorEnglish, Shawn A.en_US
dc.contributor.authorOwens, John D.en_US
dc.contributor.authorBajaj, Chandrajit L.en_US
dc.contributor.authorMitchell, Scott A.en_US
dc.contributor.editorMaks Ovsjanikov and Daniele Panozzoen_US
dc.date.accessioned2016-06-17T14:12:10Z
dc.date.available2016-06-17T14:12:10Z
dc.date.issued2016en_US
dc.description.abstractWe introduce an algorithmic framework for tuning the spatial density of disks in a maximal random packing, without changing the sizing function or radii of disks. Starting from any maximal random packing such as a Maximal Poisson-disk Sampling (MPS), we iteratively relocate, inject (add), or eject (remove) disks, using a set of three successively more-aggressive local operations. We may achieve a user-defined density, either more dense or more sparse, almost up to the theoretical structured limits. The tuned samples are conflict-free, retain coverage maximality, and, except in the extremes, retain the blue noise randomness properties of the input. We change the density of the packing one disk at a time, maintaining the minimum disk separation distance and the maximum domain coverage distance required of any maximal packing. These properties are local, and we can handle spatially-varying sizing functions. Using fewer points to satisfy a sizing function improves the efficiency of some applications. We apply the framework to improve the quality of meshes, removing non-obtuse angles; and to more accurately model fiber reinforced polymers for elastic and failure simulations.en_US
dc.description.number5en_US
dc.description.sectionheadersVoronoi et al.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume35en_US
dc.identifier.doi10.1111/cgf.12981en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages259-269en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12981en_US
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjecten_US
dc.titleDisk Density Tuning of a Maximal Random Packingen_US
Files