Precise High‐order Meshing of 2D Domains with Rational Bézier Curves
We propose a novel method to generate a high‐order triangular mesh for an input 2D
domain with two key characteristics:(1) the mesh precisely conforms to a set of input
piecewise rational domain curves, and (2) the geometric map on each curved triangle is
injective. Central to the algorithm is a new sufficient condition for placing control points of a
rational Bézier triangle to guarantee that the conformance and injectivity constraints are
theoretically satisfied. Taking advantage of this condition, we provide an explicit construct …
domain with two key characteristics:(1) the mesh precisely conforms to a set of input
piecewise rational domain curves, and (2) the geometric map on each curved triangle is
injective. Central to the algorithm is a new sufficient condition for placing control points of a
rational Bézier triangle to guarantee that the conformance and injectivity constraints are
theoretically satisfied. Taking advantage of this condition, we provide an explicit construct …
[PDF][PDF] Precise High-order Meshing of 2D Domains with Rational Bézier Curves
JYSLS Chai, LLXM Fu - 2022 - diglib.eg.org
We propose a novel method to generate a high-order triangular mesh for an input 2D
domain with two key characteristics:(1) the mesh precisely conforms to a set of input
piecewise rational domain curves, and (2) the geometric map on each curved triangle is
injective. Central to the algorithm is a new sufficient condition for placing control points of a
rational Bézier triangle to guarantee that the conformance and injectivity constraints are
theoretically satisfied. Taking advantage of this condition, we provide an explicit construct …
domain with two key characteristics:(1) the mesh precisely conforms to a set of input
piecewise rational domain curves, and (2) the geometric map on each curved triangle is
injective. Central to the algorithm is a new sufficient condition for placing control points of a
rational Bézier triangle to guarantee that the conformance and injectivity constraints are
theoretically satisfied. Taking advantage of this condition, we provide an explicit construct …
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