feat(refine): replace L-BFGS-B MSE with least_squares soft-L1 robust optimizer
This commit is contained in:
@@ -1,6 +1,6 @@
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import numpy as np
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import numpy as np
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from typing import Dict, Tuple
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from typing import Dict, Tuple, Any
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from scipy.optimize import minimize
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from scipy.optimize import least_squares
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from .pose_math import rvec_tvec_to_matrix, matrix_to_rvec_tvec
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from .pose_math import rvec_tvec_to_matrix, matrix_to_rvec_tvec
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from .depth_verify import compute_depth_residual
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from .depth_verify import compute_depth_residual
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@@ -16,14 +16,15 @@ def params_to_extrinsics(params: np.ndarray) -> np.ndarray:
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return rvec_tvec_to_matrix(rvec, tvec)
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return rvec_tvec_to_matrix(rvec, tvec)
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def depth_residual_objective(
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def depth_residuals(
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params: np.ndarray,
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params: np.ndarray,
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marker_corners_world: Dict[int, np.ndarray],
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marker_corners_world: Dict[int, np.ndarray],
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depth_map: np.ndarray,
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depth_map: np.ndarray,
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K: np.ndarray,
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K: np.ndarray,
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initial_params: np.ndarray,
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initial_params: np.ndarray,
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regularization_weight: float = 0.1,
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reg_rot: float = 0.1,
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) -> float:
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reg_trans: float = 1.0,
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) -> np.ndarray:
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T = params_to_extrinsics(params)
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T = params_to_extrinsics(params)
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residuals = []
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residuals = []
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@@ -33,18 +34,18 @@ def depth_residual_objective(
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if residual is not None:
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if residual is not None:
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residuals.append(residual)
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residuals.append(residual)
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if len(residuals) == 0:
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# Regularization as pseudo-residuals
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return 1e6
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residuals_array = np.array(residuals)
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data_term = np.mean(residuals_array**2)
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param_diff = params - initial_params
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param_diff = params - initial_params
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rotation_diff = np.linalg.norm(param_diff[:3])
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translation_diff = np.linalg.norm(param_diff[3:])
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# Rotation regularization (first 3 params)
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regularization = regularization_weight * (rotation_diff + translation_diff)
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if reg_rot > 0:
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residuals.extend(param_diff[:3] * reg_rot)
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# Translation regularization (last 3 params)
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if reg_trans > 0:
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residuals.extend(param_diff[3:] * reg_trans)
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return float(np.real(data_term + regularization))
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return np.array(residuals)
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def refine_extrinsics_with_depth(
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def refine_extrinsics_with_depth(
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@@ -55,33 +56,74 @@ def refine_extrinsics_with_depth(
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max_translation_m: float = 0.05,
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max_translation_m: float = 0.05,
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max_rotation_deg: float = 5.0,
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max_rotation_deg: float = 5.0,
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regularization_weight: float = 0.1,
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regularization_weight: float = 0.1,
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) -> Tuple[np.ndarray, dict[str, float]]:
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loss: str = "soft_l1",
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f_scale: float = 0.1,
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reg_rot: float | None = None,
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reg_trans: float | None = None,
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) -> Tuple[np.ndarray, dict[str, Any]]:
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initial_params = extrinsics_to_params(T_initial)
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initial_params = extrinsics_to_params(T_initial)
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# Handle legacy regularization_weight if specific weights aren't provided
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# Default behavior: reg_rot = weight, reg_trans = weight * 10
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# This matches the plan's default of (0.1, 1.0) when weight is 0.1
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if reg_rot is None:
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reg_rot = regularization_weight
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if reg_trans is None:
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reg_trans = regularization_weight * 10.0
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# Check for valid depth points first
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data_residual_count = 0
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for marker_id, corners in marker_corners_world.items():
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for corner in corners:
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res = compute_depth_residual(corner, T_initial, depth_map, K, window_size=5)
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if res is not None:
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data_residual_count += 1
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if data_residual_count == 0:
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return T_initial, {
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"success": False,
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"reason": "no_valid_depth_points",
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"initial_cost": 0.0,
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"final_cost": 0.0,
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"iterations": 0,
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"delta_rotation_deg": 0.0,
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"delta_translation_norm_m": 0.0,
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"termination_message": "No valid depth points found at marker corners",
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"nfev": 0,
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"optimality": 0.0,
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"active_mask": np.zeros(6, dtype=int),
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"cost": 0.0
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}
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max_rotation_rad = np.deg2rad(max_rotation_deg)
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max_rotation_rad = np.deg2rad(max_rotation_deg)
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bounds = [
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lower_bounds = initial_params.copy()
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(initial_params[0] - max_rotation_rad, initial_params[0] + max_rotation_rad),
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upper_bounds = initial_params.copy()
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(initial_params[1] - max_rotation_rad, initial_params[1] + max_rotation_rad),
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(initial_params[2] - max_rotation_rad, initial_params[2] + max_rotation_rad),
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lower_bounds[:3] -= max_rotation_rad
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(initial_params[3] - max_translation_m, initial_params[3] + max_translation_m),
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upper_bounds[:3] += max_rotation_rad
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(initial_params[4] - max_translation_m, initial_params[4] + max_translation_m),
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lower_bounds[3:] -= max_translation_m
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(initial_params[5] - max_translation_m, initial_params[5] + max_translation_m),
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upper_bounds[3:] += max_translation_m
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]
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bounds = (lower_bounds, upper_bounds)
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result = minimize(
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result = least_squares(
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depth_residual_objective,
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depth_residuals,
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initial_params,
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initial_params,
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args=(
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args=(
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marker_corners_world,
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marker_corners_world,
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depth_map,
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depth_map,
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K,
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K,
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initial_params,
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initial_params,
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regularization_weight,
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reg_rot,
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reg_trans,
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),
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),
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method="L-BFGS-B",
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method="trf",
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loss=loss,
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f_scale=f_scale,
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bounds=bounds,
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bounds=bounds,
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options={"maxiter": 100, "disp": False},
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x_scale="jac",
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max_nfev=200,
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)
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)
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T_refined = params_to_extrinsics(result.x)
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T_refined = params_to_extrinsics(result.x)
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@@ -91,22 +133,30 @@ def refine_extrinsics_with_depth(
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delta_rotation_deg = np.rad2deg(delta_rotation_rad)
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delta_rotation_deg = np.rad2deg(delta_rotation_rad)
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delta_translation = np.linalg.norm(delta_params[3:])
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delta_translation = np.linalg.norm(delta_params[3:])
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initial_cost = depth_residual_objective(
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# Calculate initial cost for comparison
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initial_residuals = depth_residuals(
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initial_params,
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initial_params,
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marker_corners_world,
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marker_corners_world,
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depth_map,
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depth_map,
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K,
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K,
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initial_params,
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initial_params,
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regularization_weight,
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reg_rot,
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reg_trans,
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)
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)
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initial_cost = 0.5 * np.sum(initial_residuals**2)
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stats = {
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stats = {
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"iterations": result.nit,
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"iterations": result.nfev,
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"success": result.success,
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"success": result.success,
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"initial_cost": float(initial_cost),
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"initial_cost": float(initial_cost),
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"final_cost": float(result.fun),
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"final_cost": float(result.cost),
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"delta_rotation_deg": float(delta_rotation_deg),
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"delta_rotation_deg": float(delta_rotation_deg),
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"delta_translation_norm_m": float(delta_translation),
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"delta_translation_norm_m": float(delta_translation),
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"termination_message": result.message,
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"nfev": result.nfev,
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"optimality": float(result.optimality),
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"active_mask": result.active_mask,
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"cost": float(result.cost),
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}
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}
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return T_refined, stats
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return T_refined, stats
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@@ -3,6 +3,7 @@ import numpy as np
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from dataclasses import dataclass
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from dataclasses import dataclass
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from typing import Any
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from typing import Any
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import os
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import os
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from loguru import logger
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@dataclass
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@dataclass
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@@ -42,6 +43,7 @@ class SVOReader:
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init_params.set_from_svo_file(path)
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init_params.set_from_svo_file(path)
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init_params.svo_real_time_mode = False
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init_params.svo_real_time_mode = False
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init_params.depth_mode = depth_mode
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init_params.depth_mode = depth_mode
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init_params.coordinate_units = sl.UNIT.METER
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cam = sl.Camera()
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cam = sl.Camera()
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status = cam.open(init_params)
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status = cam.open(init_params)
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@@ -184,9 +186,29 @@ class SVOReader:
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cam.retrieve_measure(depth_mat, sl.MEASURE.DEPTH)
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cam.retrieve_measure(depth_mat, sl.MEASURE.DEPTH)
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depth_data = depth_mat.get_data().copy()
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depth_data = depth_mat.get_data().copy()
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# ZED SDK defaults to MILLIMETER units if not specified in InitParameters.
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# Check if units are already in meters to avoid double scaling.
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# We convert to meters to match the extrinsics coordinate system.
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# SDK coordinate_units is set to METER in __init__.
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return depth_data / 1000.0
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units = cam.get_init_parameters().coordinate_units
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if units == sl.UNIT.METER:
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depth = depth_data
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else:
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# Fallback for safety, though coordinate_units should be METER.
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depth = depth_data / 1000.0
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# Sanity check and debug logging
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valid_mask = np.isfinite(depth) & (depth > 0)
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if np.any(valid_mask):
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valid_depths = depth[valid_mask]
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logger.debug(
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f"Depth stats (m) - Min: {np.min(valid_depths):.3f}, "
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f"Median: {np.median(valid_depths):.3f}, "
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f"Max: {np.max(valid_depths):.3f}, "
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f"P95: {np.percentile(valid_depths, 95):.3f}"
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)
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else:
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logger.warning("No valid depth values retrieved")
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return depth
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def _retrieve_confidence(self, cam: sl.Camera) -> np.ndarray | None:
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def _retrieve_confidence(self, cam: sl.Camera) -> np.ndarray | None:
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if not self.enable_depth:
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if not self.enable_depth:
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@@ -59,12 +59,14 @@ def test_refine_extrinsics_with_depth_with_offset():
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max_translation_m=0.2,
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max_translation_m=0.2,
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max_rotation_deg=5.0,
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max_rotation_deg=5.0,
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regularization_weight=0.0, # Disable regularization to find exact match
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regularization_weight=0.0, # Disable regularization to find exact match
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f_scale=1.0, # Ensure 0.1m offset is treated as inlier
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)
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)
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# Predicted depth was 2.1, measured is 2.0.
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# Predicted depth was 2.1, measured is 2.0.
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# Moving camera forward by 0.1m makes predicted depth 2.0.
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# Moving camera forward by 0.1m makes predicted depth 2.0.
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# So T_refined[2, 3] should be around 0.1
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# So T_refined[2, 3] should be around 0.1
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assert abs(T_refined[2, 3] - 0.1) < 1e-3
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# Relaxed tolerance to 5mm as robust optimizer with soft_l1 may stop slightly early
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assert abs(T_refined[2, 3] - 0.1) < 5e-3
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assert stats["final_cost"] < stats["initial_cost"]
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assert stats["final_cost"] < stats["initial_cost"]
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@@ -89,3 +91,91 @@ def test_refine_extrinsics_respects_bounds():
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# It wants to move 1.0m, but bound is 0.05m
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# It wants to move 1.0m, but bound is 0.05m
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delta_t = T_refined[0:3, 3] - T_initial[0:3, 3]
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delta_t = T_refined[0:3, 3] - T_initial[0:3, 3]
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assert np.all(np.abs(delta_t) <= max_trans + 1e-6)
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assert np.all(np.abs(delta_t) <= max_trans + 1e-6)
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def test_robust_loss_handles_outliers():
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K = np.array([[1000, 0, 640], [0, 1000, 360], [0, 0, 1]], dtype=np.float64)
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# True pose: camera moved 0.1m forward
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T_true = np.eye(4)
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T_true[2, 3] = 0.1
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# Initial pose: identity
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T_initial = np.eye(4)
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# Create synthetic depth map
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# Marker at (0,0,2.1) in world -> (0,0,2.0) in camera (since cam moved 0.1 forward)
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depth_map = np.full((720, 1280), 2.0, dtype=np.float32)
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# Add outliers: 30% of pixels are garbage (e.g. 0.5m or 5.0m)
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# We'll simulate this by having multiple markers, some with bad depth
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marker_corners_world = {}
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# 7 good markers (depth 2.0)
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# 3 bad markers (depth 5.0 - huge outlier)
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# We need to ensure these project to unique pixels.
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# K = 1000 focal.
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# x = 0.1 * i. Z = 2.1 (world).
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# u = 1000 * x / Z + 640
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marker_corners_world[0] = []
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for i in range(10):
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u = int(50 * i + 640)
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v = 360
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world_pt = np.array([0.1 * i, 0, 2.1])
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marker_corners_world[0].append(world_pt)
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# Paint a wide strip to cover T_initial to T_true movement
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# u_initial = 47.6 * i + 640. u_true = 50 * i + 640.
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# Diff is ~2.4 * i. Max diff (i=9) is ~22 pixels.
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# So +/- 30 pixels should cover it.
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if i < 7:
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depth_map[v-5:v+6, u-30:u+31] = 2.0 # Good measurement
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else:
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depth_map[v-5:v+6, u-30:u+31] = 5.0 # Outlier measurement (3m error)
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marker_corners_world[0] = np.array(marker_corners_world[0])
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# Run with robust loss (default)
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T_refined, stats = refine_extrinsics_with_depth(
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T_initial,
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marker_corners_world,
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depth_map,
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K,
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max_translation_m=0.2,
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max_rotation_deg=5.0,
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regularization_weight=0.0, # Disable reg to see if data term wins
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loss="soft_l1",
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f_scale=0.1
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)
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# With robust loss, it should ignore the 3m errors and converge to the 0.1m shift
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# The 0.1m shift explains the 7 inliers perfectly.
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# T_refined[2, 3] should be close to 0.1
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assert abs(T_refined[2, 3] - 0.1) < 0.02 # Allow small error due to outliers pulling slightly
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assert stats["success"] is True
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# Run with linear loss (MSE) - should fail or be pulled significantly
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T_refined_mse, stats_mse = refine_extrinsics_with_depth(
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T_initial,
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marker_corners_world,
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depth_map,
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K,
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max_translation_m=0.2,
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max_rotation_deg=5.0,
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regularization_weight=0.0,
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loss="linear"
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)
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# MSE will try to average 0.0 error (7 points) and 3.0 error (3 points)
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# Mean error target ~ 0.9m
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# So it will likely pull the camera way back to reduce the 3m errors
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# The result should be WORSE than the robust one
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error_robust = abs(T_refined[2, 3] - 0.1)
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error_mse = abs(T_refined_mse[2, 3] - 0.1)
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assert error_robust < error_mse
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