BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Talks.cam//talks.cam.ac.uk// X-WR-CALNAME:Talks.cam BEGIN:VEVENT SUMMARY:Physics and mathematics of marbling - Aubrey Jaffer (Digilant) DTSTART:20171128T111000Z DTEND:20171128T115000Z UID:TALK96073@talks.cam.ac.uk CONTACT:INI IT DESCRIPTION:Co-authors: Shufang Lu (Zhejiang University of Technolog y)\, Xiaogang Jin (Zhejiang University)\, Fei Gao (Zhejiang University of Technology)\, Xiaoyang Mao (University of Yamanashi)

Ink mar bling refers to techniques for creating intricate designs in colored inks floating on a liquid surface. If the marbling motions are executed slowly\ , then this layer of inks can be modeled as a two-dimensional incompressib le Newtonian fluid. In this highly constrained model many common marbling techniques can be exactly represented by closed-form homeomorphisms. These homeomorphisms can be composed and compute the composite mapping at any r esolution orders of magnitude faster than finite-element fluid-dynamics me thods.Pictorial designs for flowers and animals use short strokes of a sin gle stylus\; presented is a closed form velocity field for Oseen fluid flo w and its application to creating short stroke marbling homeomorphisms.The se approaches extend to three-dimensions and allow creation of coherent ma rbled surfaces on any shape while avoiding the process of texture mapping entirely.

Related Links

ht tps://www.computer.org/csdl/mags/cg/2012/06/mcg2012060026.html \;- Mathematical Marbling
https://w ww.youtube.com/watch?v=ZgVbIaKhC_4 \;- Mathematical Marbling video
https://www.computer.org/csdl/m ags/cg/2017/02/mcg2017020090.html \;- Solid Mathematical Marbling< /li>
https://arxiv.org/pdf/1702.02106 \;- Oseen Flow in Ink Marblnig
http://people.csail.mit.edu/jaffer/Marbling \;- Mathematic al Marbling website

LOCATION:Seminar Room 1\, Newton Institute END:VEVENT END:VCALENDAR