Figure 5 - available via license: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
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Anisotropic quotient values in logarithmic scale of the target metrics: (top) 2D case; (bottom left) boundaries of the 3D case; and (bottom right) solid slice of the 3D case.
Source publication
We detail how to use Newton's method for distortion-based curved $r$-adaption to a discrete high-order metric field while matching a target geometry. Specifically, we combine two terms: a distortion measuring the deviation from the target metric; and a penalty term measuring the deviation from the target boundary. For this combination, we consider...
Contexts in source publication
Context 1
... in the 3D case by Figure 5 shows the anisotropic quotient [50] of the metric presented in Equations (25) and (26). Specifically, the anisotropic quotient of a metric tensor M ∈ R d×d is given by ...
Context 2
... 7(f), and 8(d), 8(e), 8(f) show the clipped 3D meshes and the mesh boundary, respectively. We align the axes according to the ones of Figure 5. We observe that the elements lying in the anisotropic region are compressed to attain the stretching and alignment prescribed by the metric. ...
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