<html><body style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><head><meta http-equiv="Content-Type" content="text/html; charset=us-ascii"></head><br class=""><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div class="" style="orphans: 2; widows: 2;"><div class="" style="margin: 0in 0in 0.0001pt;"><b class=""><font size="4" class=""></font></b></div><div class="" style="margin: 0in 0in 0.0001pt;"><b class=""><font size="4" class=""><br class=""></font></b></div><div class="" style="margin: 0in 0in 0.0001pt;"><b class=""><font size="4" class="">Theodore Kim</font></b></div><div class="" style="margin: 0in 0in 0.0001pt;"><span class="" style="font-size: 14px;"><i class="">Pixar Animation Studios<br class=""></i></span><div class=""><span class="" style="font-size: 14px;"><i class=""><span class="Apple-tab-span" style="white-space: pre;"> </span></i></span></div></div><div class="" style="margin: 0in 0in 0.0001pt;"><b class=""><font class="" style="font-size: 14px;"><br class=""></font></b></div><div class="" style="margin: 0in 0in 0.0001pt;"><span class=""><b class=""><font class="" size="4">Thursday, March 14, 2019 at 2:00 pm<br class="">Crerar 390</font></b><br class=""></span></div></div><div class="" style="orphans: 2; widows: 2;"><span class="" style="font-size: 14px;"><br class=""></span></div><div class=""><br class=""></div><div class=""><div class=""><font class="" style="font-size: 15px;"><span class=""><span class="" style="color: rgb(33, 33, 33);"><b class="">Title: </b><span class="Apple-tab-span" style="font-weight: bold; white-space: pre;"> </span></span></span></font><font color="#212121" class=""><span class="" style="font-size: 15px;">Non-Linear Eigenstructures in Computer Animation</span></font></div><div class="" style="color: rgb(33, 33, 33);"><b class=""><font class="" style="font-size: 15px;"><br class=""></font></b></div><div class="" style="color: rgb(33, 33, 33);"><b class=""><font class="" style="font-size: 15px;">Abstract:</font></b></div><div class=""><font class=""><span class=""><div class="" style="font-variant-ligatures: normal; background-color: rgb(255, 255, 255);"><div class=""><font class=""><span class=""><span id="docs-internal-guid-bf351367-7fff-5067-8c8e-0130cc54a81c" class=""><div class="" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span class=""><span class=""><span class=""><span class="" style="font-size: 15px; white-space: pre-wrap;">Non-linearity lies at the heart of many visual phenomena in computer graphics, including muscles, flesh, fire, and water. In this talk, I will present my recent work on gaining a better understanding of physical and numerical properties that underpin several of these phenomena.<br class=""><br class="">In order to realistically simulate skin and flesh, highly non-linear equations must be solved. The underlying behavior of these equations, i.e. their eigenstructures, are usually difficult to ascertain, and they are mostly only probed numerically. I will show that these equations can in fact be understood using a set of clean and compact analytic expressions. The core of this approach is the use of eigenmatrices, which reveal structures that are not visible with traditional eigenvectors. This approach yields fast, compact, and robust algorithms that have been used in the movies Cars 3, Incredibles 2, the short film Bao, and the upcoming Toy Story 4.<br class=""><br class="">Additionally, I will show that the non-linear equations that govern the motion of water, smoke, and fire can also be written in terms of analytic eigenstructures, and that doing so allows us to generate supernatural fluid motions. Taken together, these techniques point the way towards more sophisticated numerical methods, increasingly realistic physical models, and novel aesthetic phenomena.<br class=""></span></span><span class="" style="font-size: 15px; white-space: pre-wrap;"> </span><span class="" style="font-size: 15px; white-space: pre-wrap;"><br class=""></span><b class="" style="font-size: 15px; white-space: pre-wrap;">Bio:</b><br class=""></span><span class="" style="font-size: 15px; white-space: pre-wrap;">Theodore Kim is a Senior Research Scientist at Pixar Animation Studios, where he investigates biomechanical solids, fluid dynamics, and selected topics in geometry. Previously, he was an Associate Professor at the University of California, Santa Barbara, in Media Arts and Technology (MAT), and Computer Science (CS). He is the recipient of the NSF CAREER Award, two Best Paper awards, and a Scientific and Technical Academy Award (SciTech Oscar).</span></span></div><div class="" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span class=""><i class="" style="font-size: 15px; color: rgb(34, 34, 34);"><b class=""><br class=""></b></i></span></div><div class="" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span class=""><i class="" style="font-size: 15px; color: rgb(34, 34, 34);"><b class="">Host: Fred Chong</b></i></span></div><div class="" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span class=""><i class="" style="font-size: 15px; color: rgb(34, 34, 34);"><b class=""><br class=""></b></i></span></div><div class="" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span class=""><i class="" style="font-size: 15px; color: rgb(34, 34, 34);"><b class="">PDF:</b></i></span></div><div class="" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span class=""><i class="" style="font-size: 15px; color: rgb(34, 34, 34);"><b class=""><br class=""></b></i></span></div><div class="" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span class=""><i class="" style="font-size: 15px; color: rgb(34, 34, 34);"><b class=""></b></i></span></div></span></span></font></div></div></span></font></div></div></div></div></div></div></div></body></html>