Advanced range imaging with gated viewing: compressed sensing and coding of range gates

Laser Gated-Viewing Advanced Range Imaging (LGVARI) methods sample range information in a wide range area with super-resolution from a few sampling points. In this paper three different methods are investigated: the Coding of Range- Gates, the Compressed Sensing Range Imaging and a hybrid method of the aforementioned LGVARI methods. In contrast to classical range imaging methods based on Nyquist sampling, the range information is not directly visible in the single images and has to be extracted from a complete sequence by means of computational optics. With LGVARI it is possible to sample range information from only a few sampling points (i.e. images) with super-resolution far beyond the limit of the Nyquist sampling theorem. It is shown that the three methods have a compression rate of < 5%.