研究分析了不同波长照明条件下的数字微镜器件(DMD)衍射特性，并以此为依据设计了一套基于单片DMD的无透镜式三维彩色全息投影系统。为了得到真彩色三维物体再现效果，以一单色分量为基准消除原始图中的倍率色差；通过调节三色激光器入射角度来消除横向位置色差；将三色分量光电再现图像进行合成，得到了具有三维深度信息的彩色全息再现图像。结果表明，所提方法不仅降低了彩色计算全息生成程序的复杂性，而且再现光路简洁。

By analyzing the diffraction under different wavelengths of digital micromirror device (DMD), a lensless color holographic projection system using single DMD is designed. With the reference of a single color component, the magnification chromatic aberration of the original image is eliminated. By adjusting the incident angle of these three-color lasers, the transverse chromatic aberration is eliminated. Color holographic reconstruction images with three-dimensional depth information is obtained by synthesizing the optoelectronic reconstruction image of the three color components. With this method, not only the program of color computer generated holography is simplified, but also the optical path of reconstruction is more intuitive.