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Can I read High-Order Directional Fields on EtoBox?
High-Order Directional Fields by Iwan Boksebeld; Amir Vaxman is a Computer Science article available to read on EtoBox.
What is High-Order Directional Fields about?
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.
Who reads High-Order Directional Fields?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- Iwan Boksebeld; Amir Vaxman
- Publisher
- ACM
- Published
- 2022
- Language
- EN
- Field
- Computer Science (Physical Sciences)