geometry op• Data kinds: matrix → table
• Call: import fullseye as fs; fs.ledger.nurbs_revolve(profile, weights=None, *, degree: 'int' = 2, knots=None, n=(48, 48)) -> 'dict' (to call the implementation directly, import mathgeometry; mathgeometry.nurbs_revolve(profile, weights=None, *, degree: 'int' = 2, knots=None, n=(48, 48)) -> 'dict'; from the registry, opsmath.get("nurbs_revolve"))
> This operator's description has not been translated yet. The original text follows as it is.
平面の NURBS 曲線 (r, z) を z 軸のまわりに 1 周回した回転面(Piegl & Tiller §8.5)。
断面の各制御点を `nurbs_circle` の 9 点で回し、重みを掛け合わせる。断面が厳密な円弧なら、出来る曲面も厳密な
球・トーラス・円錐になる(多項式の曲面では近似しかできない)。
Args:
profile: (m, 2) の断面の制御点 (r, z)。r は軸からの距離(0 以上)。
weights, degree, knots: 断面の NURBS(`nurbs_curve` と同じ)。
n: (周方向, 断面方向) の評価点数。
Returns:
`nurbs_surface と同じ dict に control_net・net_weights` を足したもの。
Every mathops op validates its input before computing (nothing slips through silently):
• **complex input raises ValueError** — coercing to float64 silently discards the imaginary part (numpy only emits a ComplexWarning and returns a plausible-looking wrong real number). State .real/.imag/abs() explicitly, or use complexops, which handles complex data.
• **masked arrays with masked elements raise ValueError** — the implicit conversion that peels off the mask and uses the raw values underneath is refused. Say explicitly whether to fill or to drop.
• **NaN/Inf raises ValueError on every input** (refused with the count stated — it propagates through the whole result).
• Shapes are strict: 1-D and 2-D are never implicitly promoted or broadcast (a matrix in a vector slot, or a vector in a matrix slot, raises ValueError; reshape explicitly).
• Size cap: ops that take a matrix, and the stat_histogram bins, raise ValueError beyond mathops.MAX_ELEMENTS (2^26 ≈ 67 million elements).
• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).
• Operator provenance and references — the sources of the research/methods this op family came from.
• The canonical algorithm (author, year) and its uses are named in the family usage guide above.
• geometry_tour — py -3.11 examples/geometry_tour.py
table as input)dynsys_poincare_section · dwt_inverse · chebyshev_eval_nd
geometry)mesh_euler_characteristic · angle_defect · delaunay_triangulate · geodesic_heat · geodesic_heat_grid · mesh_torus · nurbs_curve · nurbs_circle
*Provenance: mathgeometry.py — MATH operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.