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:20230103T035307Z LOCATION:Auditorium\, Level 5\, West Wing DTSTART;TZID=Asia/Seoul:20221206T100000 DTEND;TZID=Asia/Seoul:20221206T120000 UID:siggraphasia_SIGGRAPH Asia 2022_sess153_papers_237@linklings.com SUMMARY:High-Order Directional Fields DESCRIPTION:Technical Papers\n\nHigh-Order Directional Fields\n\nBoksebeld , Vaxman\n\nWe introduce a framework for representing face-based direction al fields of an arbitrary piecewise-polynomial order. Our framework is bas ed on a primal-dual decomposition of fields, where the exact component of a field is the gradient of piecewise-polynomial conforming function, and t he coexact component is defined as the adjoint of a dimensionally-consiste nt discrete curl operator. Our novel formulation sidesteps the difficult p roblem of constructing high-order non-conforming function spaces, and make s it simple to harness the flexibility of higher-order finite elements for directional-field processing. Our representation is structure-preserving, and draws on principles from finite-element exterior calculus. We demonst rate its benefits for applications such as Helmholtz-Hodge decomposition, smooth PolyVector fields, the vector heat method, and seamless parameteriz ation.\n\nRegistration Category: FULL ACCESS, EXPERIENCE PLUS ACCESS, EXPE RIENCE ACCESS, TRADE EXHIBITOR\n\nLanguage: ENGLISH\n\nFormat: IN-PERSON URL:https://sa2022.siggraph.org/en/full-program/?id=papers_237&sess=sess15 3 END:VEVENT END:VCALENDAR