spoon_tilt_dispense — DRIVE granular op

• Data kinds: scalar × scalar × scalar × scalar → table

• Call: import fullseye as fs; fs.ledger.spoon_tilt_dispense(theta_deg: 'float', phi_deg: 'float', L: 'float', h0: 'float', h_wall: 'float | None' = None, lip: 'str' = 'wall') -> 'dict' (to call the implementation directly, import granular; granular.spoon_tilt_dispense(theta_deg: 'float', phi_deg: 'float', L: 'float', h0: 'float', h_wall: 'float | None' = None, lip: 'str' = 'wall') -> 'dict'; from the registry, opsdrive.get("spoon_tilt_dispense"))

Usage

> This operator's description has not been translated yet. The original text follows as it is.

傾き θ で出た粉の割合(:func:spoon_tilt_critical と同じ 2 次元模型、厳密な `tan(φ − θ)`)。

• `lip="wall": 保持断面 A(θ) = ∫₀ᴸ min(x tan(φ − θ), h_wall) dx(h_wall` = 奥壁の高さ、None = 無限)、

出た割合 `= 1 − min(A, L h0) / (L h0)`。θ ≤ θ_c で 0、θ ≥ φ で 1、間は単調。

• `lip="open": 前面が初めから安息角の斜面、奥の平らな面は床に平行のまま深さ h0`:

`A(θ) = ∫₀ᴸ min(h0, x tan(φ − θ)) dx、出た割合 = 1 − A(θ) / A(0)`。θ = 0⁺ からこぼれ、θ ≥ φ で 1

(scoop の `tilt_wedge_retained はこれを呼ぶ)。h_wall を渡すなら h0` 以上(平らな面を奥壁が支える)。

返り: `fraction, retained_area, initial_area, theta_c_deg, lip`。

Raises `ValueError: 引数の範囲、lip="open" で h_wall < h0`。

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_granular_heap_repose — py -3.11 examples/poc_granular_heap_repose.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 (granular)

heap_volume_cone · heap_mass · heap_volume_heightmap · beverloo_rate · beverloo_fit · discharge_synth · dispense_mass_from_video · hopper_discharge_rate


*Provenance: granular.py — DRIVE 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.