BEGIN:VCALENDAR VERSION:2.0 PRODID:Linklings LLC BEGIN:VTIMEZONE TZID:Asia/Seoul X-LIC-LOCATION:Asia/Seoul BEGIN:STANDARD TZOFFSETFROM:+0900 TZOFFSETTO:+0900 TZNAME:KST DTSTART:18871231T000000 DTSTART:19881009T020000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20230103T035312Z LOCATION:Room 324\, Level 3\, West Wing DTSTART;TZID=Asia/Seoul:20221209T090000 DTEND;TZID=Asia/Seoul:20221209T103000 UID:siggraphasia_SIGGRAPH Asia 2022_sess172_papers_241@linklings.com SUMMARY:Fast Editing of Singularities in Field-Aligned Stripe Patterns DESCRIPTION:Technical Communications, Technical Papers\n\nFast Editing of Singularities in Field-Aligned Stripe Patterns\n\nNoma, Umetani, Kawahara\ n\n\textit{Field-aligned parametrization} is a method that maps a scalar f unction onto a surface, such that the gradient vector of the scalar functi on matches the input vector field. Using this idea, one can produce a stri pe pattern that is convenient for various purposes such as remeshing, text ure synthesis, and computational fabrication. In the final outcome, the po sitions of singularities (i.e., bifurcations of the stripe pattern) are es sential for functionalities, manufacturability, or aesthetics. In this pap er, we propose an algorithm to allow users to interactively edit the singu larity positions of field-aligned stripe patterns. The algorithm computes a stripe pattern from a prescribed set of singularities, without generatin g any unwanted singularities. The solution of the algorithm is formulated as the global minima of a constrained quadratic optimization, whose comput ation speed is dominated by solving only two sparse linear systems. Furthe rmore, once the two matrices in the two linear systems are factorized, any update on singularity positions operates in linear time. We showcase seve ral applications feasible with our fast yet simple algorithm.\n\nRegistrat ion Category: FULL ACCESS, ON-DEMAND ACCESS\n\nLanguage: ENGLISH\n\nFormat : IN-PERSON, ON-DEMAND URL:https://sa2022.siggraph.org/en/full-program/?id=papers_241&sess=sess17 2 END:VEVENT END:VCALENDAR