boussinesq_kernel — DRIVE tactorque op

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

• Call: import fullseye as fs; fs.ledger.boussinesq_kernel(n: 'int', pitch: 'float', G: 'float', nu: 'float', sub: 'int' = 4, with_uz: 'bool' = True) -> 'dict' (to call the implementation directly, import tactorque; tactorque.boussinesq_kernel(n: 'int', pitch: 'float', G: 'float', nu: 'float', sub: 'int' = 4, with_uz: 'bool' = True) -> 'dict'; from the registry, opsdrive.get("boussinesq_kernel"))

Usage

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

法線圧(1 画素 = pitch² に一様 1 Pa)が作る表面変位の離散核(2n 格子、rfft2 済み): `Kx = ū_x、Ky` = ū_y(接線、

−(1−2ν)/(4πG) · x/r² と y/r²、Johnson 1985 §3.2 の点荷重解)、`with_uz なら Kz` = ū_z((1−ν)/(2πGr))。

画素平均(sub² の副標本)。中心画素: ∫□ x/r² dA = 0(奇関数)、∫□ 1/r dA = 4h ln(1+√2)(解析値)。

:func:tacslip.cerruti_kernel(接線 → 接線)と同じ作りの法線版。Raises ValueError: n < 8、pitch, G ≤ 0、ν が [0, 0.5] 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_tactile_dipole_torque — py -3.11 examples/poc_tactile_dipole_torque.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 (tactorque)

punch_pressure · punch_surface_uz · hertz_pressure_shifted · ellipse_pressure_shifted · pressure_first_moment · boussinesq_surface_displacement · surface_divergence_closed_form · tilt_shear_field


*Provenance: tactorque.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.