eval_bspline_curve — 3D freeform op

Data kinds: bspline_curvepoints

Call: import fullseye as fs; fs.ledger.eval_bspline_curve(tck, n=200) (to call the implementation directly, import bspline_surf; bspline_surf.eval_bspline_curve(tck, n=200); from the registry, ops3d.get("eval_bspline_curve"))

Usage

Evaluate the curve tck at n evenly spaced points over the parameter u∈[0,1] (splev).

> The detailed description below is the original text — the summary and the headings are translated.

Parameters

----------

tck : tuple

fit_bspline_curve が返した `(t, c, k)`。

n : int

評価点数(既定 200)。2 以上。

Returns

-------

numpy.ndarray, shape (n, D)

曲線上の点列。D は fit 時の入力次元(3D 入力なら (n, 3))。

補足:

• u は `linspace(0, 1, n) なので **パラメータ等間隔** であって弧長等間隔ではない。点の密度は元の点列の疎密に依存する。弧長で等間隔にしたければ本 op の出力を resample_uniform` に通す。

• 両端点 u=0, u=1 を含む。

• Raises `ValueError: tck が曲線モデル (t, c, k)` でない(曲面 tck / 多項式 dict を名指しで拒否)、または n < 2。

• 返り値は float64 の `(n, D)`。決定論的。

References (sample data, literature)

• 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.

Runnable examples (verified samples that actually call this op)

bspline_freeformpy -3.11 examples_3d/bspline_freeform.py

Ops the type connects to (they accept points as input)

points_to_voxel · gaussians_to_voxel · estimate_point_normals · to_points · match_points_ncc · match_pca · moment_axes · icp_point2point_3d

Same category (freeform)

fit_bspline_surface · eval_bspline_surface · surface_residual · fit_bspline_curve


*Provenance: bspline_surf.py — 3D 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.