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Continuous real-time sensor recalibration: A long-range perception game-changer

March 15, 2023 | 4 min. read

By the Long-Range Perception Team

To safely power autonomous semitrucks at high speeds on highways, the Aurora Driver must accurately and reliably perceive objects and vehicles at great distances. To do so, the Aurora Driver is equipped with sensor pods made up of ultra-high-definition cameras, imaging radar, and our proprietary FirstLight lidar. Data from each of these sensors must be processed and fused into a holistic and dynamic picture of the truck’s environment.

However, long-range perception models can be sensitive to miscalibration between sensors. At distances upward of several hundred meters—only a few seconds away at highway speeds—a small miscalibration of a few milliradians can result in the offset of a full highway lane. This can lead to false negatives or mislocalized detections. 

To ensure that our sensors are accurately calibrated when a vehicle leaves on a mission, we use well-established calibration techniques at our terminals. Fiducials (checkered boards) are placed around the vehicle and the Aurora Driver’s cameras and lidar sensors capture them from various angles. Our calibration system then aligns and optimizes that sensor data to find the relative pose of each fiducial. This is done for all camera-lidar pairs on the vehicle to obtain a consistent calibration for the entire sensor suite, enabling seamless image-lidar fusion.


Figure 1. Fiducials used during the pre-mission calibration process. Top: Lidar intensity image of one set of fiducials. Bottom: Lidar data projected on top of another set of fiducials.

Despite this rigorous calibration process and the high level of ruggedization of our sensor pods, miscalibration caused by mechanical fatigue, thermal drift, or even impacts with flying debris is always possible during the truck’s long journey.

Enter online calibration

To address this issue, we’ve developed an online calibration system. Just as the human brain constantly processes and aligns binocular visual information to focus on a single point and create a seamless representation of the world, the Aurora Driver is able to detect and measure miscalibrations and recalibrate while on the road, in the wild, without fiducials. 

Previous work has shown that this online calibration capability is possible, but so far such systems have been implemented as dedicated models that are computationally heavy, requiring additional onboard GPU resources. We decided to instead train our online calibration system as an auxiliary output to our existing long-range detection model. The implementation of this lightweight regression head is substantially less computationally intensive than a dedicated model because our online calibration system simply makes use of the lidar and camera data that our long-range detection model is already digesting.

Group (1)

Figure 2. A high-level schematic representation of a long-range detector with an auxiliary learned calibration head. During training, noise in pitch and yaw is injected into the extrinsics to create the RGBD image input; the calibration head is trained to revert the injected noise. The approach can easily be extended to the full six degrees of freedom.

By injecting known amounts of noise into well-calibrated camera and lidar extrinsics and training our model to regress that noise value as an auxiliary task, we were able to produce a long-range detector model that is both capable of performing online calibration and much more robust to miscalibrated input data.

The gif below shows the system in action, where we artificially miscalibrated our long-range lidar by significant amounts in both pitch and yaw (red curve). We can see that the model is able to accurately regress that miscalibration in real-time (<100ms), with an average absolute error of under 5% of the injected noise values, keeping calibration well within our tolerated range.


Figure 3. Top: lidar projected into the image, colored by radial speed. An offset in pitch/yaw is progressively injected into and removed from the lidar extrinsics. Bottom: in red are the injected extrinsics perturbations, in blue are the model’s predictions of these offsets.

In some situations, sensor data may not contain enough information for the model to confidently estimate the lidar/image calibration. To prevent the system from flagging such cases as miscalibration, we trained the model to estimate this observation noise, or aleatoric heteroscedastic uncertainty. In the example below, we can see that the autonomous vehicle makes a sharp 90-degree turn in close proximity to a building, which results in a featureless image with few lidar returns. The model’s estimated uncertainty spikes when this happens, letting us know that the estimated calibration can be ignored.

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Figure 4. Learned calibration uncertainty: In some situations, the observation noise is too high for the model to confidently estimate image/lidar calibration. Here, we show that the model outputs high uncertainty (right graph) in cases of motion blur or featureless images.

In addition to accurately predicting sensor miscalibration and maintaining performance on its original detection task, the multitask model also significantly improves performance of detection of small objects at long distances, as shown in the table below. This allows the Aurora Driver to see construction zones or pedestrians on the road earlier, giving more time for the motion planner to make a safe decision.

% improvement in BEV AP @ 0.1 IoU

Range (m)


Construction elements


















Table 1. The detection performance improvement on well-calibrated data with our multitask 3D detection and learned calibration model. We can observe that the percent improvement in detection when learning miscalibration increases both with range and with the inverse of object size.

We also use this system to generate post-mission reports that summarize the calibration status of collected data. These reports feed into our data validation system to help us filter out miscalibrated data before it is ingested by our labeling engine.


Figure 5. This type of dashboard is generated for each of our autonomous vehicles, tracking online calibration correction in pitch and yaw between various sensors. This example report shows that a small miscalibration was detected and quickly corrected to stay within our calibration tolerance.

Putting it all together

Using this approach, the Aurora Driver can accurately detect and track small objects like pedestrians and motorcyclists beyond 400 meters in 3D. Here is our system in action: FirstLight Lidar starts to get a couple of lidar returns over 400 meters away on the side of the highway. Our long-range detector is able to correctly associate a single lidar point with the pedestrian in the ultra HD image provided by our cameras thanks to the extremely tight calibration of image and lidar information. The FirstLight Lidar returns also contain information about the velocity of the detected pedestrian, ensuring the truck has several hundred meters and enough time to make a safe decision—which, in this case, could be a lane change to create extra space while passing the pedestrian.


Figure 6. A static shoulder vehicle and pedestrian are detected beyond 400 meters, from an image and single lidar points. 

Our automatic, real-time miscalibration detection and recalibration capability helps ensure that the Aurora Driver’s perception system is consistently high-performing—a critical facet of operating safely on public highways at scale.

the Long-Range Perception Team

Louis Foucard, Sean Xia, Tommy Griffith, and Kyle Lutz