< br>Ink marbling refers to techniques for creating intricate designs in colored inks floating on a li quid surface. If the marbling motions are executed slowly\, then this layer of inks can be modeled a s a two-dimensional incompressible Newtonian fluid . In this highly constrained model many common mar bling techniques can be exactly represented by clo sed-form homeomorphisms. These homeomorphisms can be composed and compute the composite mapping at a ny resolution orders of magnitude faster than fini te-element fluid-dynamics methods.Pictorial design s for flowers and animals use short strokes of a s ingle stylus\; presented is a closed form velocity field for Oseen fluid flow and its application to creating short stroke marbling homeomorphisms.The se approaches extend to three-dimensions and allow creation of coherent marbled surfaces on any shap e while avoiding the process of texture mapping en tirely.

Related Links

- https://www.computer.org/csdl/ mags/cg/2012/06/mcg2012060026.html \;- Mat hematical Marbling
- https://www.youtube.com/watch?v=ZgVbIaK hC_4 \;- Mathematical Marbling video < li>https://www.c omputer.org/csdl/mags/cg/2017/02/mcg2017020090.htm l \;- Solid Mathematical Marbling
- https://arxiv.or g/pdf/1702.02106 \;- Oseen Flow in Ink Mar blnig
- ht tp://people.csail.mit.edu/jaffer/Marbling \;- Mathematical Marbling website