{ "schema_version": 1, "success": true, "convention": "T_RTK_lidar maps raw LiDAR points into the RTK navigation frame", "equation": "A_RTK_ij X = X B_LiDAR_ij", "frames": { "RTK": { "origin": "GGA positioning reference point; confirm ANT1/reference antenna in receiver configuration", "x_axis": "vehicle forward after applying the configured G90 heading offset", "y_axis": "left of the RTK X/baseline axis (not necessarily vehicle-left)", "z_axis": "up", "yaw_enu_deg": "90 - (rawHeadingDeg + -90)", "frame_mode": "vehicle_forward_heading_offset" }, "LiDAR": { "description": "raw Helios sensor frame from points_raw polar decode", "x_axis": "+X at azimuth 0° (forward when aviation connector faces vehicle rear)", "y_axis": "+Y at azimuth +90° (left when +X is vehicle-forward)", "z_axis": "up", "origin_note": "optical/center per Helios manual; mounting height includes 63.5 mm base offset when deriving mechanical ΔZ" } }, "backend": "consensus", "measured_lidar_extrinsic_used_as_initial": true, "solver_initial_extrinsic": "D:\\First-dev-dept\\calibration-rtk-run\\run\\rtk_lidar_mechanical_initial.json", "body_heading_offset_deg": -90.0, "body_heading_offset_used": true, "body_antenna_lever_xy_used": false, "translation_m": [ 0.21782224963960972, -0.41134780227275347, 0.1065423366878719 ], "rotation_rpy_deg_xyz": [ 0.06623859235262805, 0.8096624730962496, -0.5513220563826681 ], "quaternion_xyzw": [ 0.00061201333859398, 0.007062715262034178, -0.004815137247499642, 0.9999632782988027 ], "coordinate_contract_audit": { "status": "no_near_180_degree_axis_conflict", "requires_physical_axis_confirmation": false, "mechanical_initial_path": "D:\\First-dev-dept\\calibration-rtk-run\\run\\rtk_lidar_mechanical_initial.json", "mechanical_self_consistency": { "baseline_points": "vehicle_right", "frame_mode": "vehicle_forward_heading_offset", "heading_offset_deg": -90.0, "consistent": true, "issues": [] }, "solution_vs_declared_baseline_side": { "baseline_points": "vehicle_right", "solution_yaw_deg": -0.5513220563826681, "expected_yaw_deg": 0.0, "yaw_error_deg": 0.5513220563826735, "xy_error_m": 0.007516661287052368, "z_error_m": 0.0280423356878719, "mixed_translation_rotation_inheritance": false, "near_expected_pose": true }, "solution_relative_to_mechanical_initial": { "translation_m": 0.029032271487700816, "rotation_deg": 0.9820426535863694, "delta_matrix_4x4": [ [ 0.9998538650128304, 0.009638565806830942, 0.014119017957784103, 0.006962889639609726 ], [ -0.009621275903042714, 0.9999528797859223, -0.0012919976154994906, 0.002831671727246521 ], [ -0.014130805670674627, 0.0011559658421926345, 0.9998994869856016, 0.0280423356878719 ], [ 0.0, 0.0, 0.0, 1.0 ] ] }, "note": "No automatic 180-degree correction was applied. Confirm static GNHPR left/right vs vehicle heading and Helios +X vs vehicle forward before deployment." }, "matrix_4x4": [ [ 0.9998538650128304, 0.009638565806830942, 0.014119017957784103, 0.21782224963960972 ], [ -0.009621275903042714, 0.9999528797859223, -0.0012919976154994906, -0.41134780227275347 ], [ -0.014130805670674627, 0.0011559658421926345, 0.9998994869856016, 0.1065423366878719 ], [ 0.0, 0.0, 0.0, 1.0 ] ], "quality": { "stations": 27, "pairs": 20, "residuals": { "pairs": 20, "translation_m": { "rms": 0.07116027693011169, "median": 0.048258124379040895, "p90": 0.10707349630410129, "p95": 0.12100345665884242, "max": 0.1859157912711514 }, "rotation_deg": { "rms": 0.9820870524210346, "median": 0.6015253089423158, "p90": 1.626986719630708, "p95": 1.7485896823567941, "max": 2.6898815510329674 }, "per_pair": [ { "pair_index": 0, "translation_m": 0.10590532722733068, "rotation_deg": 0.5565962122599133 }, { "pair_index": 1, "translation_m": 0.11758701799503664, "rotation_deg": 0.36543717366192036 }, { "pair_index": 2, "translation_m": 0.07568813061789224, "rotation_deg": 1.6990480050580474 }, { "pair_index": 3, "translation_m": 0.07918615709103373, "rotation_deg": 0.33723851079591255 }, { "pair_index": 4, "translation_m": 0.04618587731787657, "rotation_deg": 0.21044665580544528 }, { "pair_index": 5, "translation_m": 0.1859157912711514, "rotation_deg": 2.6898815510329674 }, { "pair_index": 6, "translation_m": 0.015032558607699278, "rotation_deg": 0.2283712127949818 }, { "pair_index": 7, "translation_m": 0.013237326674396453, "rotation_deg": 1.6189799101387812 }, { "pair_index": 8, "translation_m": 0.07003654121179845, "rotation_deg": 0.6464544056247182 }, { "pair_index": 9, "translation_m": 0.093450766078183, "rotation_deg": 0.6476769159531274 }, { "pair_index": 10, "translation_m": 0.015054656507824072, "rotation_deg": 1.041955302231996 }, { "pair_index": 11, "translation_m": 0.02338150242985638, "rotation_deg": 0.9212619385214977 }, { "pair_index": 12, "translation_m": 0.01577916809950981, "rotation_deg": 0.5021648028537498 }, { "pair_index": 13, "translation_m": 0.05033037144020521, "rotation_deg": 0.31352985458971655 }, { "pair_index": 14, "translation_m": 0.059761151158357104, "rotation_deg": 0.8078349560587313 }, { "pair_index": 15, "translation_m": 0.04160156756834453, "rotation_deg": 0.32936437427192145 }, { "pair_index": 16, "translation_m": 0.02424387832291359, "rotation_deg": 0.430799739443549 }, { "pair_index": 17, "translation_m": 0.05938006964566194, "rotation_deg": 0.3855347569405268 }, { "pair_index": 18, "translation_m": 0.003922740066294881, "rotation_deg": 0.8803664894801937 }, { "pair_index": 19, "translation_m": 0.02258390614293418, "rotation_deg": 0.9489255319885953 } ] }, "weighted_jacobian_condition_number": 7.551077537197385, "linearized_one_sigma": { "translation_m": [ 0.01109415838733884, 0.011043247019191056, 0.0049617743728656676 ], "rotation_deg": [ 0.08809558088476348, 0.08691570892756702, 0.13552099560800782 ], "warning": "conditional local estimate; bootstrap is the primary stability check" }, "bootstrap": { "runs": 200, "order": [ "x_m", "y_m", "z_m", "roll_deg", "pitch_deg", "yaw_deg" ], "std": [ 0.006235825930578342, 0.004851737742140203, 0.0004474159829207979, 0.07186455153709871, 0.11762318545143821, 0.061763211598034336 ], "p025": [ 0.20955504469154063, -0.4174678620205485, 0.10568919463688603, -0.06202286115194262, 0.5207464314096704, -0.6639417037512721 ], "p975": [ 0.23211472114546824, -0.4001091835786546, 0.1074353326322909, 0.23746760471402314, 1.0462704287205609, -0.43455346485967655 ] } }, "z_constraint": { "observable_from_planar_AX_XB": false, "method": "LiDAR ground planes plus externally supplied RTK reference-point height above ground", "rtk_reference_height_above_ground_m": 1.9165, "warning": "z is conditional on the supplied RTK antenna height; it is not independently identified by planar Ackermann motion" }, "important_limit": "AX residual and bootstrap quantify internal consistency, not independent centimetre-grade absolute certification", "selection": { "recommended": true, "reason": "Uses only motion pairs accepted independently by both Open3D GICP and small_gicp", "open3d_vs_small_gicp": { "translation_m": 0.00312519750472982, "rotation_deg": 0.11907006217018351, "delta_matrix_4x4": [ [ 0.9999996872332217, -0.00030752729270551075, -0.0007286703114418758, 0.000533303946557151 ], [ 0.00030892706731572284, 0.9999981058814015, 0.0019216653392719056, -0.002909732881513971 ], [ 0.0007280779667146176, -0.0019218898442212235, 0.9999978881187204, 0.001007919095162138 ], [ 0.0, 0.0, 0.0, 1.0 ] ] } } }