漫射物体的压缩全息利用其非相干散射密度函数在统计意义上满足稀疏先验这一假设,可以从多幅散斑图案实现漫射物体的层析重建,避免了散斑和不同平面的散焦图像之间的串扰。将单波长照明条件拓展到红、绿、蓝三色波长,提出一种新的适用于彩色漫射物体的压缩全息层析成像方法,搭建多波长照明条件下漫射物体的层析成像模型,并通过解压缩推理方法有效地分离不同平面的三维非相干密度函数。数值模拟实验表明,所提方法可以在多幅二维彩色散斑图案中成功进行彩色层析漫射物体的压缩重建,有效地抑制了散斑效应以及不同平面的散焦图像之间的相互串扰。

Using an incoherent scattering density function in the statistical sense to satisfy the hypothesis of sparse priori, the compressive holography of diffuse objects can realize the tomographic reconstruction of diffuse objects from multiple speckle patterns, avoiding speckle and crosstalk among defocusing images in different planes. In this paper, a single-wavelength illumination condition is extended to the red, green, and blue wavelengths. A new compressive holographic tomography method for color diffuse objects is proposed. A tomography model of diffuse objects under multi-wavelength illumination conditions is proposed, and the decompression reasoning method is used to effectively separate the three-dimensional incoherent density functions of different planes. The numerical simulation results show that the method can realize compressive reconstruction of the color tomography diffuse object from multiple two-dimensional color speckle patterns, and effectively suppress the speckle effect and crosstalk among defocusing images in different planes.