ellipse_pressure_shifted — DRIVE `tactorque` op

• Data kinds: matrix × matrix × scalar × scalar × scalar → matrix

• Call: import fullseye as fs; fs.ledger.ellipse_pressure_shifted(X, Y, a: 'float', b: 'float', P: 'float', d=(0.0, 0.0)) -> 'np.ndarray' (to call the implementation directly, import tactorque; tactorque.ellipse_pressure_shifted(X, Y, a: 'float', b: 'float', P: 'float', d=(0.0, 0.0)) -> 'np.ndarray'; from the registry, opsdrive.get("ellipse_pressure_shifted"))

Usage

Elliptical Hertz pressure p0 √(1 − x′²/a² − y′²/b²) [Pa] with semi-axes a (x) and b (y) [m], P = 2πab p0/3 (Johnson 1985 Eq. 4.24), with the center shifted to d. For b ≫ a the shape approaches a cylindrical (ridge- or wedge-like) indentation — the 3rd shape-invariance gate. Raises ValueError: a, b, P ≤ 0, X and Y differ in shape.

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 `matrix` as input)

world_camera · lidar_scan · relative_motion · foe_from_motion · flow_from_depth_motion · ttc_truth · world_materials · mesh_signed_volume

Same category (`tactorque`)

punch_pressure · punch_surface_uz · hertz_pressure_shifted · pressure_first_moment · boussinesq_kernel · 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).*

ellipse_pressure_shifted — DRIVE tactorque op