Construction and error analysis of dual linear array camera target measurement system in long-range target range

Abstract

In order to achieve precision in the long-distance target track measurement of projectile trajectories, high accuracy of coordinate outputs from multiple measurement planes in the target track space is required. The dual-line array camera collimation measurement system not only ensures the accuracy of output coordinates but also simplifies the calibration process. Through a comprehensive analysis of the dual-line array camera collimation measurement system, including the principle of intersection measurement, calibration of the line array camera, and error analysis of the entire measurement system, theoretical and experimental foundations are provided for the overall system design. By analyzing the principle of intersection measurement, deriving the projectile coordinate formula, and analyzing various parameters based on the coordinate formula, the calibration method for the camera is designed. This calibration method only requires calibrating the distortion coefficients, optical axis inclination angle, and camera principal point, making the calibration process simple and efficient. After calibration, the entire intersection measurement system was subjected to simulated error analysis using MATLAB software. This analysis aimed to comprehend the magnitude and trends of error influences from various factors on the measurement of impact point coordinates, as well as the distribution of errors within the 3m×3m measurement plane. Experimental results reveal that the constructed dual-line array camera intersection measurement system performs with an x-direction accuracy better than 3.8mm and a y-direction accuracy better than 3.0mm on the 3m×3m measurement plane. The experimental coordinate measurement errors align with the results obtained from theoretical analysis.