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_237@linklings.com SUMMARY:High-Order Directional Fields DESCRIPTION:Technical Communications, Technical Papers\n\nHigh-Order Direc tional Fields\n\nBoksebeld, Vaxman\n\nWe introduce a framework for represe nting face-based directional fields of an arbitrary piecewise-polynomial o rder. Our framework is based on a primal-dual decomposition of fields, whe re the exact component of a field is the gradient of piecewise-polynomial conforming function, and the coexact component is defined as the adjoint o f a dimensionally-consistent discrete curl operator. Our novel formulation sidesteps the difficult problem of constructing high-order non-conforming function spaces, and makes it simple to harness the flexibility of higher -order finite elements for directional-field processing. Our representatio n is structure-preserving, and draws on principles from finite-element ext erior calculus. We demonstrate its benefits for applications such as Helmh oltz-Hodge decomposition, smooth PolyVector fields, the vector heat method , and seamless parameterization.\n\nRegistration 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_237&sess=sess17 2 END:VEVENT END:VCALENDAR