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Motivated by measurements in the free surface turbulence literature, we observe that past certain frequencies, it is sufficient to perform a wave simulation directly on the liquid surface, and construct a reduced-dimensional surface-only simulation. We sidestep the considerable problem of generating a surface parameterization by employing an embedding technique known as the\n Closest Point Method<\/jats:italic>\n (CPM) that operates directly on a 3D extension field. The CPM requires 3D operators, and we show that for surface operators with no natural 3D generalization, it is possible to construct a viable operator using the\n inverse Abel transform<\/jats:italic>\n . We additionally propose a fast,\n frozen core<\/jats:italic>\n closest point transform, and an advection method for the extension field that reduces smearing considerably. Finally, we propose two turbulence coupling methods that seed the high-resolution wave simulation in visually expected regions.\n <\/jats:p>","DOI":"10.1145\/2451236.2451241","type":"journal-article","created":{"date-parts":[[2013,5,3]],"date-time":"2013-05-03T12:30:25Z","timestamp":1367584225000},"page":"1-13","update-policy":"http:\/\/dx.doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":39,"title":["Closest point turbulence for liquid surfaces"],"prefix":"10.1145","volume":"32","author":[{"given":"Theodore","family":"Kim","sequence":"first","affiliation":[{"name":"University of California, Santa Barbara, CA"}]},{"given":"Jerry","family":"Tessendorf","sequence":"additional","affiliation":[{"name":"Clemson University, Clemson, SC"}]},{"given":"Nils","family":"Th\u00fcrey","sequence":"additional","affiliation":[{"name":"Scanline VFX"}]}],"member":"320","published-online":{"date-parts":[[2013,4,30]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-9991(02)00057-8"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/2037826.2037849"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2008.01337.x"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2012.03071.x"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/1122501.1122503"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.5555\/1218064.1218111"},{"key":"e_1_2_2_7_1","doi-asserted-by":"publisher","DOI":"10.1145\/1276377.1276439"},{"key":"e_1_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2001.6937"},{"key":"e_1_2_2_9_1","volume-title":"The Fourier Transform and Its Applications","author":"Bracewell R.","unstructured":"Bracewell , R. 1999. 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