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Browse files- vil_tracker/inference/kalman.py +141 -0
vil_tracker/inference/kalman.py
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"""
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Kalman Filter for online tracking state estimation.
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8-state model: [cx, cy, w, h, vx, vy, vw, vh]
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- Position + size (4 states) + velocities (4 states)
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- Constant velocity motion model
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- Adaptive measurement noise based on prediction uncertainty
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"""
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import numpy as np
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class KalmanFilter:
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"""8-state Kalman filter for bounding box tracking.
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State: [cx, cy, w, h, vx, vy, vw, vh]
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Measurement: [cx, cy, w, h]
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Features:
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- Adaptive measurement noise (R) based on prediction uncertainty
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- Chi-squared gating for outlier rejection
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- Velocity damping for stable predictions
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"""
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def __init__(self, dt: float = 1.0):
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self.dt = dt
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self.ndim = 4 # measurement dimensions
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self.nstate = 8 # state dimensions
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# State transition matrix (constant velocity)
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self.F = np.eye(self.nstate)
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for i in range(self.ndim):
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self.F[i, i + self.ndim] = dt
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# Measurement matrix
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self.H = np.eye(self.ndim, self.nstate)
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# Process noise
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self._std_weight_position = 1.0 / 20
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self._std_weight_velocity = 1.0 / 160
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# State
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self.x = None # State mean
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self.P = None # State covariance
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self._initialized = False
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def initialize(self, measurement: np.ndarray):
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"""Initialize filter with first measurement [cx, cy, w, h]."""
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self.x = np.zeros(self.nstate)
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self.x[:self.ndim] = measurement
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std = [
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2 * self._std_weight_position * measurement[2],
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2 * self._std_weight_position * measurement[3],
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2 * self._std_weight_position * measurement[2],
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2 * self._std_weight_position * measurement[3],
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10 * self._std_weight_velocity * measurement[2],
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10 * self._std_weight_velocity * measurement[3],
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10 * self._std_weight_velocity * measurement[2],
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10 * self._std_weight_velocity * measurement[3],
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]
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self.P = np.diag(np.square(std))
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self._initialized = True
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def predict(self) -> np.ndarray:
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"""Predict next state. Returns predicted [cx, cy, w, h]."""
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if not self._initialized:
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raise RuntimeError("Filter not initialized")
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# Process noise
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std = [
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self._std_weight_position * self.x[2],
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self._std_weight_position * self.x[3],
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self._std_weight_position * self.x[2],
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self._std_weight_position * self.x[3],
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self._std_weight_velocity * self.x[2],
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self._std_weight_velocity * self.x[3],
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self._std_weight_velocity * self.x[2],
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self._std_weight_velocity * self.x[3],
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]
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Q = np.diag(np.square(std))
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# State prediction
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self.x = self.F @ self.x
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self.P = self.F @ self.P @ self.F.T + Q
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# Velocity damping
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self.x[self.ndim:] *= 0.95
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return self.x[:self.ndim].copy()
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def update(self, measurement: np.ndarray, uncertainty: float = 1.0):
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"""Update state with new measurement.
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Args:
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measurement: [cx, cy, w, h] observed box
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uncertainty: prediction uncertainty (scales measurement noise)
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"""
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if not self._initialized:
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self.initialize(measurement)
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return
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# Measurement noise (adaptive based on uncertainty)
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std = [
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self._std_weight_position * self.x[2] * uncertainty,
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self._std_weight_position * self.x[3] * uncertainty,
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self._std_weight_position * self.x[2] * uncertainty,
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self._std_weight_position * self.x[3] * uncertainty,
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]
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R = np.diag(np.square(std))
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# Innovation
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y = measurement - self.H @ self.x
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S = self.H @ self.P @ self.H.T + R
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# Chi-squared gating (reject outliers)
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mahalanobis = y @ np.linalg.inv(S) @ y
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if mahalanobis > 16.0: # ~99.99% chi-squared threshold for 4 DOF
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return # Reject this measurement
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# Kalman gain
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K = self.P @ self.H.T @ np.linalg.inv(S)
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# State update
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self.x = self.x + K @ y
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I_KH = np.eye(self.nstate) - K @ self.H
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self.P = I_KH @ self.P @ I_KH.T + K @ R @ K.T # Joseph form
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# Ensure w, h stay positive
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self.x[2] = max(self.x[2], 1.0)
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self.x[3] = max(self.x[3], 1.0)
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def get_state(self) -> np.ndarray:
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"""Get current state estimate [cx, cy, w, h]."""
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| 135 |
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if not self._initialized:
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return np.zeros(self.ndim)
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return self.x[:self.ndim].copy()
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@property
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def initialized(self):
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return self._initialized
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