The Indoor Positioning System (IPS) detects the position , and orientation (pose) and identity of multiple vehicles simultaneously. The position and orientation poses are updated at 50 Hz.
The Indoor Positioning System Setup works with active light sources (LEDs) on the vehicles and a Indoor Positioning System Setup camera looking down from the ceiling. The LEDs are detected based on their high brightness. The camera is set to a very short exposure (~100 microseconds). Thus, the ambient light creates a very small signal (almost black), while the LEDs still appear as white dots. The short exposure time also eliminates the problem of motion blur. At a top speed of 4 m/s the vehicle travels 0.4 mm during the exposure.
Other light sources and reflective surfaces on the vehicle can create false signals and must be covered with tape. This includes the connectors on the Raspberry Pi and the status LEDs on the motor speed controller.
The outer three LEDs indicate the vehicle pose and are permanently illuminated. The section Pose Calibration describes how the LED positions are related to the reference pose.
The central LED flashes in a pattern that is different for each vehicle. The patterns are chosen such that sampling effects do not create ambiguous signals. TODO reference MA Isabelle Tuelleners (IPS Paper), cf. Nyquist–Shannon sampling theorem.See our paper Vision-Based Real-Time Indoor Positioning System for Multiple Vehicles for more information.
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The IPS software has two major components, the LED detection and the IPS pipeline. The LED detection reads images from the camera at 50 Hz and extracts the list of image coordinates for all visible LEDs. These
LedPoints are published via DDS. The raw images are not saved or published, as this would create impractically large data volumes. The IPS pipeline processes the LED points and publishes
VehicleObservations, which include the vehicle's position, orientation, identity and a timestamp.
The IPS pipeline performs a relatively complex data processing task. To make the software easier to understand, it is broken down into independent, stateless processing steps.
The UndistortPoints function transforms the image/pixel coordinates to metric coordinates on the driving surface (floor). The calculation is based on a calibration image. See https://git.rwth-aachen.de/CPM/Project/Lab/software/github.com/embedded-software-laboratory/cpm-lab/tree/master/matlab_scripts/camera_calibration
The DetectVehicles function groups and classifies points as
back_right. Points that appear to not belong to a vehicle are discarded.
The PoseCalculation function calculates the vehicle reference pose based on the
back_right points. The calculation is based on manually collected calibration data. See https://git.rwth-aachen.de/CPM/Project/Lab/software/github.com/embedded-software-laboratory/cpm-lab/tree/master/matlab_scripts/ips_pose_calibration
The implementation can be found at https://git.rwth-aachen.de/CPM/Project/Lab/software/github.com/embedded-software-laboratory/cpm-lab/tree/master/ips2/src
The Matlab function
detectCheckerboardPoints is used to determine a list of matching points
(x_floor, y_floor, x_image, y_image). Then a 5th order 2D polynomial is fitted to the data using linear least squares.
The vehicle pose has the format
(x, y, yaw). The yaw is the rotation angle in radians of the vehicle around the vertical axis in the counter-clockwise direction. When yaw=0, the vehicle points in the x-direction. The coordinates (x, y) give the location of the vehicle's reference point. The reference point is defined as the geometric center between the front and rear axle.
To accurately implement this definition of the pose, another measurement and calibration procedure is performed. First we need a means of accurately placing the vehicle on the floor, such that the true pose is known. The vehicle is clamped into a piece of wood, which extends the vehicle's local x/y coordinate system. This makes it simple to manually align the vehicle with the checkerboard pattern.
While the IPS is running, the vehicle is placed in various poses on the floor, following a particular calibration sequence. The calibration features
(back_x, back_y, direction_x, direction_y) are recorded from the running IPS. A linear calibration is then fitted using least squares.
IPS Image Coordinates
The image coordinates correspond to the IPS image sensor pixels. They are only relevant for the IPS LED detection.
|MathJax Inline Equation|
X/Y units: Meter
Yaw unit: Radian
Origin: corner of the PVC canvas, towards the windows on the right.
Yaw angle: Measured from the x-axis, counterclockwise.
Useful yaw equations:
direction_x = cos(yaw)
direction_y = sin(yaw)
yaw = atan2(direction_y, direction_x)
Origin: center point between both axles.
In practice, this coordinate system is realized with a calibration jig.