Time-of-flight (TOF) three-dimensional (3D) imaging is an effective means for remote sensing and target recognition. Fourier ghost imaging (GI) acquires the Fourier spectrum first, then applies an inverse Fourier transform (IFT) to retrieve the image of interest. The Fourier spectrum can be artificially processed when needed. The Fourier spectrum of some partially transmissive occluders is generally concentrated in high-frequency regions. These occluders can be removed by applying an IFT using the low-frequency spectrum coverage. This strategy is innovative in TOF 3D GI. In a TOF 3D GI system with DMDs, the high repetition rate and short-pulse laser is generally employed, which is mismatched with the lower modulation frequency of grayscale patterns. The grayscale Fourier patterns are decomposed into binary patterns. The detected intensities corresponding to the binary patterns are multiplied by the corresponding weighted coefficients, and are summed to form the Fourier spectrum slices at different distances. Then, an IFT is applied to retrieve the image cubes, furtherly to obtain the depth maps with the image cubes. Two 3D experiments are carried out to evaluate the proposed technique. The results indicate the reflectivity and depth maps can reveal the information of the 3D objects under 25 % spectrum coverage. From an imaging experiment through a partially transmissive occluder, we we find the reflectivity and the depth map obtained by the low-frequency Fourier spectral coverage are significantly better than those obtained reconstructions with complete spectral coverage. These preliminary results indicate TOF 3D Fourier GI has potential advantages in the removal of netting.

飞行时间（TOF）三维（3D）成像是用于遥感和目标识别的有效手段。傅里叶重影成像（GI）首先获取傅里叶光谱，然后应用傅里叶逆变换（IFT）检索感兴趣的图像。必要时可以人工处理傅立叶光谱。一些部分透射的阻塞器的傅里叶光谱通常集中在高频区域。可以通过使用低频频谱覆盖应用IFT来移除这些封堵器。此策略在TOF 3D GI中是创新的。在具有DMD的TOF 3D GI系统中，通常使用高重复率和短脉冲激光，这与灰度图案的较低调制频率不匹配。灰度傅里叶图案被分解为二进制图案。将检测到的与二元模式相对应的强度乘以相应的加权系数，并相加以形成不同距离处的傅立叶频谱切片。然后，应用IFT检索图像立方体，进一步获得具有图像立方体的深度图。进行了两个3D实验以评估所提出的技术。结果表明，反射率和深度图可以显示25％光谱覆盖率下的3D对象信息。从通过部分透射遮挡物进行的成像实验中，我们发现通过低频傅立叶光谱覆盖率获得的反射率和深度图明显优于具有完整光谱覆盖率的重建结果。