spoon_bowl_volume — DRIVE `scoop` op

• Data kinds: scalar × scalar → table

• Call: import fullseye as fs; fs.ledger.spoon_bowl_volume(a: 'float', h: 'float', *, fill_depth: 'float | None' = None, phi_deg: 'float | None' = None) -> 'dict' (to call the implementation directly, import scoop; scoop.spoon_bowl_volume(a: 'float', h: 'float', *, fill_depth: 'float | None' = None, phi_deg: 'float | None' = None) -> 'dict'; from the registry, opsdrive.get("spoon_bowl_volume"))

Usage

Closed form for a spherical-cap bowl (rim radius a, depth h) — level, partially filled and heaped.

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

球の半径 R = (a² + h²) / (2h)、すり切り V_struck = π h (3a² + h²) / 6。fill_depth = y を与えると底から y まで平らに満たした体積 V_fill = π y² (3R − y) / 3(y = h で V_struck に一致する恒等式)。phi_deg を与えると縁を底面とする安息角 φ の円錐(山盛りの上限)V_heap = (π/3) a³ tan φ、高さ a tan φ、V_heaped = V_struck + V_heap、山盛り / すり切りの比。

返り: R, V_struck, V_fill(与えたとき)、V_heap / H_heap / V_heaped / heaped_ratio(φ を与えたとき)。Raises ValueError: a・h が ≤ 0、h > a(半球より深い椀は縁が最も広い所でなく、側面から上だけを

見る scoop_volume_read の前提が崩れる)、fill_depth が (0, h] の外、φ が (0, 90) の外。

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.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• poc_powder_scoop_pour — py -3.11 examples/poc_powder_scoop_pour.py

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

course_layout · course_occupancy · course_contains · world_build · world_camera · world_move · lidar_scan · rss_longitudinal_same

Same category (`scoop`)

scoop_synth_side · revolution_volume_side · two_view_volume · scoop_volume_read · scoop_count · scoop_image_limit · tilt_wedge_retained · tilt_pour_rate

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

spoon_bowl_volume — DRIVE scoop op