Interferenceless coded aperture correlation holography (I-COACH) is an incoherent digital holography technique without two-wave interference. In the system of I-COACH, the information of the corresponding depth of a three-dimensional object is reconstructed by the cross-correlation operation between a point hologram (PSH) and an object hologram (OH). Because the I-COACH needs to combine multi-step phase-shift technique and image averaging technique to suppress the bias terms and background noise in reconstructed images, the image time resolution is poor. In order to suppress the bias terms and background noise, in this paper, we proposed an adaptive learning dictionary reconstruction (ALDR) method of I-COACH system by combing non-linear reconstruction technique and sparse representation theory. By using the nonlinear reconstruction image as the training data of the model, the K-means singular value decomposition (K-SVD) and orthogonal matching pursuit (OMP) algorithm are used to obtain a redundant adaptive learning dictionary for reconstructing image. The compression reconstruction is performed to achieve the adaptive noise-free reconstructed image in the I-COACH.
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