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docs: extrude up to a surface in the literature, MCP and meshing skill (#400)
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01UhhZMBTviDQxZvwnyP89fo
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@@ -1098,6 +1098,22 @@ onto points, then smoothed). No code, manual or text of any commercial mesher wa
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based smoothing, L. A. Freitag, C. Ollivier-Gooch, IJNME 40:3979–4002, 1997; metric: P. M. Knupp,
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SIAM J. Sci. Comput. 23(1):193–218, 2001).
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### B10. Extrusion up to a surface (implemented in `fieldcraft-mesh::hex::extrude_to`, `mesh.hex.extrude`)
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A quad section is carried along straight per-node paths and its last layer ends on target B-rep
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faces, so a region need not be sweepable between two parallel faces.
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- **Path ends**: Newton's method on the tangent plane of the target's closest point (the trimmed
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projection of B9), one step exact on a plane; side-face corners by alternating projections
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(J. von Neumann, *Functional Operators, vol. II*, Princeton 1950, ch. 13).
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- **Interior nodes**: straight paths plus the boundary's displacement onto the side faces,
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interpolated by inverse-distance weights: the boundary-residual correction of P. M. Knupp,
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*Next-generation sweep tool: a method for generating all-hex meshes on two-and-one-half
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dimensional geometries*, Proc. 7th International Meshing Roundtable, 1998 (as in B8's sweep);
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D. Shepard, *A two-dimensional interpolation function for irregularly-spaced data*, Proc. ACM
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National Conference 1968.
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- **Layer grading**: geometric progression of thicknesses (last over first = bias).
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## Part C: Datasets and benchmarks
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| Dataset | Content | Licence | Usable for FieldCraft? |
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