sphere_sdf — 3D `sdf_csg` op

• Data kinds: coordgrid → sdf

• Call: import fullseye as fs; fs.ledger.sphere_sdf(grid, center, R) (to call the implementation directly, import sdf_ops; sdf_ops.sphere_sdf(grid, center, R); from the registry, ops3d.get("sphere_sdf"))

Usage

The signed distance field of a sphere: `|p − center| − R` (negative inside, positive outside).

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

`grid は最終軸が 3 の座標配列 (..., 3)(grid_coords` の出力や (N,3) 点群)。

`center は長さ3、R>=0 は半径。返り値の shape は grid.shape[:-1]`。厳密な SDF

(勾配ノルム 1)。`sdf_offset(sphere_sdf(g,c,R), r) == sphere_sdf(g,c,R+r)`。

Raises ValueError for R<0 or malformed grid/center。

計算: `np.linalg.norm(grid - center, axis=-1) - R`。座標の単位はそのまま距離の

単位になる(`grid_coords` の world 座標を渡せば world 単位)。座標の成分順は

`grid の最終軸の順(grid_coords なら (x, y, z))で、center` も同じ順。

引数と検証(`ValueError`):

• `grid: 最終軸が 3 の float 配列 (..., 3)(1-D の (3,)` も可。0-D や

最終軸が 3 以外は拒否)。

• `center: 要素数 3(reshape(3) できなければ numpy の ValueError`)。

• `R: float() できるスカラ。回転行列などを渡した場合も ValueError`

(この引数は半径であって姿勢ではない)。`R < 0 は拒否、R = 0` は

中心からの距離場そのもの。

返り値: `grid.shape[:-1] の float64(grid_coords` の出力なら

`(nx, ny, nz))。中心で -R`、表面で 0、外側で正。

使いどころ: `grid_coords で格子 → sphere_sdf / box_sdf → sdf_union` /

`sdf_subtract で CSG → <= 0 を占有として marching cubes(voxel_to_mesh`

に `-sdf を渡し iso=0` 相当で等値面)。

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)

• annotate3d_figure — py -3.11 examples_3d/annotate3d_figure.py

• gear_metrology — py -3.11 examples_3d/gear_metrology.py

• molecule_atom_count — py -3.11 examples_3d/molecule_atom_count.py

• procedural_hand — py -3.11 examples_3d/procedural_hand.py

• render_beauty — py -3.11 examples_3d/render_beauty.py

• sdf_csg — py -3.11 examples_3d/sdf_csg.py

• sfm_recon — py -3.11 examples_3d/sfm_recon.py

Ops the type connects to (they accept `sdf` as input)

sdf_to_occupancy · fuse_to_voxel · integrate · extract_surface_points · query_distance · sdf_union · sdf_intersect · sdf_subtract

Same category (`sdf_csg`)

grid_coords · box_sdf · plane_sdf · cylinder_sdf · torus_sdf · capsule_sdf · sdf_union · sdf_intersect

*Provenance: sdf_ops.py — 3D operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

sphere_sdf — 3D sdf_csg op