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In order to complete details in the method of 3D range-gated imaging based on the range-intensity profiles (RIP), we apply homomorphic filtering to tomographic-like serial images in succession. This application filters noise disturbance from low laser illuminating homogeneity, atmospheric scattering and ambient background. First, tomographic-like serial images are filtered by EHPF, BHPF and GHPF, respectively, and three 3D images are reconstructed by RIP correlation algorithm at the same time. And then compare three 3D images under homomorphic filtering and 3D image reconstructed by raw tomographic-like serial images. At last, we analyze and evaluate gray levels in specific regions, which are extracted from tomographic-like serial images and 3D images, correspondingly. The experiments results show that homomorphic filtering is effective in noise elimination and improvement in completing details in 3D images. Introduction Three dimensional range-gated imaging based on the RIPs was first proposed to increase imaging speed by Martin Laurenzis et al. of French-German Research Institute of Saint-Louis [1] . Combining the advantages of gated viewing and high-quality rectangular laser to get range-intensity profiles, at least two tomographic-like images are required to obtain a three-dimensional image. This method effectively reduces the amount of pixel data that needs to be processed, and solves the difficulty in traditional "sliced" 3D reconstruction. To fully utilized the intensity information, Zhang et al. of Zhejiang University proposed and an applied exponential code method in 2011, by which the maximum detection depth range increases exponentially with no distance loss [2] . In 2014, Wang et al. proposed a three dimensional super resolution range-gated flash LIDAR based on triangular algorithm of range-intensity correlation [3][4] . Furthermore, they presented a coding method based on triangular algorithm in 2014, and gave an example of seven coding bins of three gate images [5] . The above methods have made a great contribution to the distance accuracy of the three-dimensional imaging based on the original imaging data, but there is not much attention to the detailed information of the three dimensional imaging, such as the edge information, the structural information of the target, etc. The visual effect of 3D reconstruction results is often inferior to that of intensity images. In this paper, the homomorphic filtering algorithm is applied to the noise reduction of two-dimensional slice sequences by means of the triangular distance energy correlation algorithm which is widely practiced at present, so as to reduce the noises caused by laser illumination unevenness, atmospheric scattering, environmental background and sensor error. It is shown that most of fine texture in three-dimensional images is completed, and the visualization effect is also improved. Three Dimensional Range-gated Imaging Based on RIPs Acquisition of Tomographic-like Images Three dimensional range-gated imaging based on the RIPs is different from traditional “sliced” 3D reconstruction. This method taking the advantages of gated viewing and high-quality rectangular laser uses at least two tomographic-like images to obtain a three-dimensional image. The ideal imaging method is as follows. 467 The laser emits a rectangular laser pulse p  and triggers the ICCD with a delay time of D  . The gate width is g  . After the radiant energy of laser received from the range gate, we can have a tomographic-like image. Further, by changing D  , a serial tomographic-like images in succession are captured. Figure 1 shows two adjacent time diagrams(N=1, N=2) of range-gated imaging. Figure 1. Time diagram of range-gated imaging. Figure 2. 3D reconstruction by two sets of RIPs.

An Application of Homogeneity Filter to Complete Image Details in 3D Images