Frequency-modulated continuous-wave LiDAR compressive depth-mapping

Daniel J. Lum, Samuel H. Knarr, John C. Howell
2018 Optics Express  
We present an inexpensive architecture for converting a frequency-modulated continuous-wave LiDAR system into a compressive-sensing based depth-mapping camera. Instead of raster scanning to obtain depth-maps, compressive sensing is used to significantly reduce the number of measurements. Ideally, our approach requires two difference detectors. of doubling the number of measurments. Due to the large flux entering the detectors, the signal amplification from heterodyne detection, and the effects
more » ... f background subtraction from compressive sensing, the system can obtain higher signal-to-noise ratios over detector-array based schemes while scanning a scene faster than is possible through raster-scanning. a single total-variation minimization and two fast least-squares minimizations, instead of a single complex nonlinear minimization, can efficiently recover high-resolution depth-maps with minimal computational overhead. Moreover, by efficiently storing only 2m data points from m<n measurements of an n pixel scene, we can easily extract depths by solving only two linear equations with efficient convex-optimization methods.
doi:10.1364/oe.26.015420 pmid:30114804 fatcat:ojivk7nl6za7pmlr66u2jj4544