Conventional compressive light field (CLF) displays reconstructing three-dimensional (3D) scenes generally use stacked liquid crystal displays (LCDs). However, the low transmittance of LCD limits the number of stacked layers (usually three) and the image quality. In this paper, the realization of the CLF display with multi-plane projection is proposed by using polymer stabilized cholesteric texture (PSCT) shutter and digital micro-mirror devices (DMDs). Benefitting from high transmittance ($>80\%)$ and fast response time ($\le 1\text{ms}$) of PSCT shutter, the proposed system provides an opportunity to increase the number of physically stacked layers while preserving high brightness, which could achieve a large depth of field (DOF) and high-fidelity 3D image. Limited by the maximum refresh rate of DMD, the relationship between the gray scale and the layered number is analyzed and optimized to minimize the deviation between reconstructed light field and target light field. To improve the quality of reconstruction, the chromatic aberration due to the wavelength of incident light is investigated and compensated. In addition, the three-dimensional matrix mapping method is presented to convert decomposed images into binary images efficiently, which realizes the high-speed and real-time processing of massive display data. To verify the feasibility of the proposed system, a prototype was implemented and photographs were captured from different viewpoints. With the experimental results, the system was confirmed to have a potential for both 3D display and augmented reality (AR) applications.

重建三维（3D）场景的常规压缩光场（CLF）显示器通常使用堆叠式液晶显示器（LCD）。但是，LCD的低透射率限制了堆叠层的数量（通常为三层）和图像质量。在本文中，通过使用聚合物稳定的胆甾型纹理（PSCT）快门和数字微镜器件（DMD），提出了具有多平面投影的CLF显示的实现。受益于高透光率（$>80％）$ 和快速的响应时间（$\le \mathrm{1个}\text{多发性硬化症}$PSCT快门），建议的系统提供了增加物理堆叠层数的机会，同时保留了高亮度，这可以实现大景深（DOF）和高保真3D图像。受DMD的最大刷新率限制，分析和优化了灰度和分层数之间的关系，以最大程度地减少重构光场和目标光场之间的偏差。为了提高重建的质量，研究并补偿了由于入射光的波长引起的色差。另外，提出了一种三维矩阵映射方法，将分解后的图像有效地转换为二进制图像，实现了海量显示数据的高速实时处理。为了验证拟议系统的可行性，实施了原型，并从不同的角度拍摄了照片。根据实验结果，该系统被证实具有3D显示和增强现实（AR）应用的潜力。