论文标题

样条草图:光子计数激光雷达的有效方法

Spline Sketches: An Efficient Approach for Photon Counting Lidar

论文作者

Sheehan, Michael Patrick, Tachella, Julian, Davies, Mike E.

论文摘要

光子计数激光雷达已成为3D深度成像的宝贵工具,因为它可以在长范围内实现。但是,高帧速率,高分辨率激光雷德设备产生了大量飞行时间(TOF)数据,这可能会导致严重的数据处理瓶颈阻碍了实时系统的部署。在本文中,提出了一种有效的光子计数方法,该方法利用了分段多项式花样的简单性,以形成对TOF数据的硬件友好的压缩统计量或所谓的样条草图,而无需牺牲恢复图像的质量。由于每个分段多项式样条是一个简单的函数,在时间深度窗口上具有有限的支撑,因此可以通过最小的计算开销有效地计算样条草图。我们表明,分段线性或二次样条草图,需要每次光子检测的芯片算术算术计算最少,可以重建现实世界深度图像,而分辨率可以忽略不计,而与全部TOF相比,分辨率损失却可以忽略不计,并且与全部TOF数据相比,以及提供多座式止损检测性能。这些与先前提出的粗分布直方图的对比,该直方图遍及深度高度不均匀,并且与明亮反射器相关时可能会灾难性地失败。此外,通过建立范围步行校正为所提出的估计算法,可以证明可以使光子堆积效应可使样条曲线鲁棒化。重建和范围步行校正算法的计算复杂性仅具有样条草图的尺寸,该大小与光子计数和雷达设备的时间分辨率无关。

Photon counting lidar has become an invaluable tool for 3D depth imaging due to the fine-precision it can achieve over long ranges. However, high frame rate, high resolution lidar devices produce an enormous amount of time-of-flight (ToF) data which can cause a severe data processing bottleneck hindering the deployment of real-time systems. In this paper, an efficient photon counting approach is proposed that exploits the simplicity of piecewise polynomial splines to form a hardware-friendly compressed statistic, or a so-called spline sketch, of the ToF data without sacrificing the quality of the recovered image. As each piecewise polynomial spline is a simple function with limited support over the timing depth window, the spline sketch can be computed efficiently on-chip with minimal computational overhead. We show that a piecewise linear or quadratic spline sketch, requiring minimal on-chip arithmetic computation per photon detection, can reconstruct real-world depth images with negligible loss of resolution whilst achieving $95\%$ compression compared to the full ToF data, as well as offering multi-peak detection performance. These contrast with previously proposed coarse binning histograms that suffer from a highly nonuniform accuracy across depth and can fail catastrophically when associated with bright reflectors. Further, by building range-walk correction into the proposed estimation algorithms, it is demonstrated that the spline sketches can be made robust to photon pile-up effects. The computational complexity of both the reconstruction and range walk correction algorithms scale only with the size of the spline sketch which is independent to both the photon count and temporal resolution of the lidar device.

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