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摘要:
ToF （Time of Flight）深度相机是获取三维点云数据的重要手段之一，但ToF深度相机受到自身硬件和外部环境的限制，其测量数据存在一定的误差。本文针对ToF深度相机的非系统误差进行研究，通过实验验证了被测目标的颜色、距离和相对运动等因素均会对深度相机获取的数据产生影响，且影响均不相同。本文提出了一种新的测量误差模型对颜色和距离产生的误差进行校正，对于相对运动产生的误差，建立了三维运动模糊函数进行恢复，通过对所建立的校正模型进行数值分析，距离和颜色的残余误差小于4 mm，相对运动所带来的误差小于0.7 mm。本文所做工作改善了ToF深度相机的测量数据的质量，为开展三维点云重建等工作提供了更精准的数据支持。
Abstract:Time of Flight (ToF) depth camera is one of the important means to obtain three-dimensional point cloud data, but ToF depth camera is limited by its own hardware and external environment, and its measurement data has certain errors. Aiming at the unsystematic error of ToF depth camera, this paper experimentally verifies that the color, distance, and relative motion of the measured target affect the data obtained by the depth camera, and the error effects are different. A new measurement error model is proposed to correct the error caused by color and distance. For the error caused by relative motion, a three-dimensional motion blur function is established to recover it. Through the numerical analysis of the established calibration model, the residual error of distance and color is less than 4 mm, and the error caused by relative motion is less than 0.7 mm. The work done in this paper improves the quality of the measurement data of the ToF depth camera, and provides more accurate data support for 3D point cloud reconstruction and other work.
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Key words:
- ToF depth camera /
- depth error /
- error correction
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图 2 颜色、距离及相对运动的实验图
Figure 2. Site maps of color, distance, and relative motion experiment
图 3 不同背景颜色下，在距离相机1.5 m时的侧面图
Figure 3. Side view of background panels with different colors at a distance of 1.5 m from the camera
图 6 转台以不同转速旋转时不同角度相对于静止态的平均误差
Figure 6. Average error of turntable at different speeds and angles relative to the static state
图 7 不同测量距离下的平均误差及文献[1]所提模型误差和本文所提模型误差
Figure 7. Average depth error of error models proposed by Ref. 1 and this paper at different average measurement distances
图 9 不同颜色的误差校正结果及校正模型
Figure 9. Error correction results and correction models for different colors
图 10 不同转速下不同角度的误差校正结果
Figure 10. Error correction results at different angles and speeds
表 1 本文模型参数
Table 1. Parameters of proposed model
参数名 参数值 参数名 参数值 ${a_0}$ 0.001684 w 1.464 ${a_1}$ −0.002211 ${b_1}$ 0.0007332 ${a_2}$ −0.001091 ${b_2}$ 0.002141 ${a_3}$ −0.002439 ${b_3}$ 0.002785 ${a_4}$ 0.002291 ${b_4}$ −0.0004192 
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