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- W4311802081 abstract "We introduce a framework for representing face-based directional fields of an arbitrary piecewise-polynomial order. Our framework is based on a primal-dual decomposition of fields, where the exact component of a field is the gradient of piecewise-polynomial conforming function, and the coexact component is defined as the adjoint of 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 representation is structure-preserving, and draws on principles from finite-element exterior calculus. We demonstrate its benefits for applications such as Helmholtz-Hodge decomposition, smooth PolyVector fields, the vector heat method, and seamless parameterization." @default.
- W4311802081 created "2022-12-28" @default.
- W4311802081 creator A5003150364 @default.
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- W4311802081 date "2022-11-30" @default.
- W4311802081 modified "2023-10-18" @default.
- W4311802081 title "High-Order Directional Fields" @default.
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- W4311802081 doi "https://doi.org/10.1145/3550454.3555455" @default.
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