tactile_dipole_moment — DRIVE tactorque op

• Data kinds: matrix × matrix → table

• Call: import fullseye as fs; fs.ledger.tactile_dipole_moment(pts, u, form: 'str' = 'divergence', origin='midpoint', weight: 'str' = 'area', area: 'float | None' = None, window=None, rho=None, radius: 'float | None' = None) -> 'dict' (to call the implementation directly, import tactorque; tactorque.tactile_dipole_moment(pts, u, form: 'str' = 'divergence', origin='midpoint', weight: 'str' = 'area', area: 'float | None' = None, window=None, rho=None, radius: 'float | None' = None) -> 'dict'; from the registry, opsdrive.get("tactile_dipole_moment"))

Usage

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

触覚双極子モーメント D = Σ_i w ρ_i r_i(2 成分)。`form`:

• `"divergence" —— 論文(arXiv 2404.15626)式 4–8: ρ_i = (∇·u)_i(rho を渡すか、radius で :func:marker_divergence`)。

• `"norm_cross"` —— 論文の基線(式 10–11、Yamaguchi & Atkeson 流): ρ_i = |u_i|(ベクトルのノルムを法線力の代わりに)。

l_i × f_i の傾き成分は (l_y|u|, −l_x|u|) で D を 90° 回したものなので、同じ「1 次モーメント」の枡で返す。零点後の対称な傾きでは

|u| が M の偶関数なので恒等的に 0(符号を知らない、門)。

• `"radial"` —— 本モジュールの変種: ρ_i = u_i · r̂_i(放射成分)。

`origin: "midpoint"(式 6–7、正負の重心の中点)/ "centre"`(pts の平均、基線の作法)/ (x0, y0)。

`weight: "area" = 1 点あたり面積 area [m²] を掛ける(閉形式の係数 −(1−2ν)/(2G) と比べられる、単位 m³)/ "mean"` = 1/N(論文)。

`window` = (cx, cy, R) なら半径 R 内の点だけ使う(せん断の漏れを切る窓、根拠はモジュール docstring)。valid でない点(nan)は除く。

返り `D (2,)、tau_dir = (−D_y, D_x)(式 9 の向き、係数なし)、origin、n、rho、form、keep`。

Raises ValueError: form/origin/weight が未知(綴り違いは fail-closed)、pts/u の形、area 無しの "area"、使える点が 3 未満。

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_kernel · boussinesq_surface_displacement · surface_divergence_closed_form


*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.