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TZID:Asia/Seoul
X-LIC-LOCATION:Asia/Seoul
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TZOFFSETFROM:+0900
TZOFFSETTO:+0900
TZNAME:KST
DTSTART:18871231T000000
DTSTART:19881009T020000
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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
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