Research On3D Imaging Method Based On Compressive Sensing

Compressive sensing is an emerging theory about the signal sampling and processing. It broke the classic Nyquist-Shannon sampling frequency and points out that under certain conditions, with the number of samples much lower than what the Nyquist-Shannon sampling theorem requires, the signals can be recovered accurately. The three-dimensional imaging based on compressive sensing takes advantage of the simple device, long imaging distance and large spectral range. This article introduces the research status of three-dimensional imaging and compressive sensing, as well as the basic principle of compressive sensing. Deriving from the two-dimensional imaging system, a three-dimensional imaging system based on compressive sensing is established.Different with two-dimensional imaging, the three-dimensional imaging based on compressive sensing uses the pulsed laser as the light source, the photon-detected APD unit as the detector. The paper elaborates the structure of the three imaging system based on compressive sensing and discusses the imaging algorithms respectively on the condition that the object is distributed discretely and continuously in the distance. Specially, for the object distributed continuously in the distance, come up with a method which slices the signal to reduce the calculation number of the compressive sensing to some extent.The paper focuses an improved method for three-dimensional information calculating, which add distance information into the compressive sensing calculation. Regardless of the object’s distribution in the distance, only two compressive sensing calculations are needed, by which the three-dimensional information of the object can be obtained, greatly reducing the computation.The paper simulates the three-dimensional imaging based on compressive sensing and discusses the influence of improving the sample rate on the three-dimensional imaging accuracy. Specially, for the improved method, a numerical simulation is done, which analyzes the influence of improving the sampling rate on accuracy of distance calculation. Finally, establish an actual three-dimensional imaging system and discussed the accuracy of distance calculation, which approves this improved method is workable.