typed op• Data kinds: points → volume
• Call: fullseye.apply(img, "tb_capsule_sdf", a=0.5, b=0.5) (the 2-D model is one image plus two scalar knobs a,b∈[0,1])

*The figure is the actual output on a synthetic 128×128 input. Left: input, right: output. Point clouds are drawn as a top-down scatter (brightness = z), 1-D series as a line plot, volumes as the maximum-intensity projection along z, videos as the middle frame, complex images as magnitude; return values that are not pictures are shown as the values themselves.*
*Knob a does not change the output (measured: identical at 0.1 / 0.5 / 0.9).*
*Knob b does not change the output (measured: identical at 0.1 / 0.5 / 0.9).*
Stages (the ops that come before → this op, left to right):
▸ tb_capsule_sdf: stages (docs site)
On other images (synthetic scene / photo / coins. Top row: inputs, bottom row: their outputs. Knobs at default):
▸ tb_capsule_sdf: other inputs (docs site)
Motion (GIF: frames / views / slices in turn. The still figure is the complete one; the GIF is supplementary):

> This operator's description has not been translated yet. The original text follows as it is.
線分 `a–b を半径 radius` で太らせたカプセルの厳密な符号付き距離場。
`sdf(p) = ‖p - (a + clamp(((p-a)·(b-a))/‖b-a‖², 0, 1)·(b-a))‖ - radius`。
線分への最短距離そのものなので全空間で勾配ノルム 1(円柱と違い端が丸いぶん、
角が無く厳密)。リブ・配管・骨・ワイヤ・工具の掃引体積の近似に向く。
引数と検証(`ValueError`):
• `grid: 最終軸が 3 の float 配列 (..., 3)`。
• `a / b: 芯線の端点(要素数 3)。a == b なら球(sphere_sdf` と一致)。
• `radius`: 太さ(負は拒否)。
返り値: `grid.shape[:-1]` の float64。
使いどころ: 工具の到達性を「工具の掃引体積が部品と交わらないか」で見るとき、工具を
カプセルで置いて `sdf_intersect` の最小値が正かを見る。骨梁・血管・繊維の合成にも。
2-D 進化レジストリへ橋渡しした 3d の op `capsule_sdf。実装は同じで、呼び出し規約だけ op(v, a, b) に合わせてある。この op に調整点は無く、a も b` も使われない。
• 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 program below has been verified to run (same input as the figure). In Studio's help this block becomes buttons that load and run it on the spot.
img_to_points 0.50 0.50 tb_capsule_sdf 0.50 0.50
▸ Load this pipeline · Load & run
The examples below call the underlying ledger op capsule_sdf. This bridge op is the same implementation adapted to the fn(v, a, b) convention, so the behaviour carries over unchanged (only the call form differs).
• procedural_hand — py -3.11 examples_3d/procedural_hand.py
• sdf_csg — py -3.11 examples_3d/sdf_csg.py
volume as input)identity · vol_gaussian · vol_median · vol_erode · vol_dilate · vol_threshold · vol_reg_dilate · vol_reg_erode
typed)tb_points_to_voxel · tb_estimate_point_normals · tb_iss_keypoints · tb_project_points · tb_render_point_depth · tb_statistical_outlier_removal · tb_radius_outlier_removal · tb_voxel_grid_downsample
*Provenance: ops.py — 2D 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.