tacslip op• Data kinds: scalar × scalar × scalar × scalar → table
• Call: import fullseye as fs; fs.ledger.cerruti_kernel(n: 'int', pitch: 'float', G: 'float', nu: 'float', sub: 'int' = 4, with_uz: 'bool' = False) -> 'dict' (to call the implementation directly, import tacslip; tacslip.cerruti_kernel(n: 'int', pitch: 'float', G: 'float', nu: 'float', sub: 'int' = 4, with_uz: 'bool' = False) -> 'dict'; from the registry, opsdrive.get("cerruti_kernel"))
Builds the discrete kernel of the surface displacement produced by an x-directed tangential traction (uniform 1 Pa over 1 pixel = pitch²) on a 2n grid (for zero-padded linear convolution) and returns it already rfft2-transformed.
The kernel is held per pixel as a pixel average (mean of sub×sub sub-samples). For the centre pixel 1/r is integrable, so analytic values are used —— ∫□ 1/r dA = 4h ln(1+√2), ∫□ x²/r³ dA = 2h ln(1+√2) (by symmetry ∫x²/r³ = ∫y²/r³ = ½∫1/r), ∫□ xy/r³ = ∫□ x/r² = 0. Returns: Kxx, Kyx (tangential → tangential), with with_uz=True also Kzx (tangential → normal; factor (1−2ν), 0.04 times at ν 0.48), n, pitch, G, nu. Agreement with closed form (3.91) is ūx 0.017 %, ūy 0.03 % (256 px, the PoC gate). Raises ValueError: n < 8, pitch, G ≤ 0, sub < 1.
• 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.
• poc_tacsim_marker_shear — py -3.11 examples/poc_tacsim_marker_shear.py
• poc_tactile_dipole_torque — py -3.11 examples/poc_tactile_dipole_torque.py
table as input)course_layout · course_occupancy · course_contains · world_build · world_camera · world_move · lidar_scan · rss_longitudinal_same
tacslip)mindlin_partial_slip · mindlin_traction · hertz_surface_ur · hertzian_tangential_inner · cerruti_surface_displacement · membrane_shear_field · membrane_markers · displace_markers
*Provenance: tacslip.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.