Plug-and-Play Priors for Multi-Shot Compressive Hyperspectral Imaging

Multi-shot coded aperture snapshot spectral imaging (CASSI) uses multiple measurement snapshots to encode the three-dimensional hyperspectral image (HSI). Increasing the number of snapshots will multiply the number of measurements, making CASSI system more appropriate for detailed spatial or spectrally rich scenes. However, the reconstruction algorithms still face the challenge of being ineffective or inflexible. In this paper, we propose a plug-and-play (PnP) method that uses denoiser as priors for multi-shot CASSI. Specifically, the proposed PnP method is based on the primal-dual algorithm with linesearch (PDAL), which makes it flexible and can be used for any multi-shot CASSI mechanisms. Furthermore, a new subspaced-based nonlocal reweighted low-rank (SNRL) denoiser is presented to utilize the global spectral correlation and nonlocal self-similarity priors of HSI. By integrating the SNRL denoiser into PnP-PDAL, we show the balloons ( $512\times 512\times31$ ) in CAVE dataset recovered from two snapshots compressive measurements with MPSNR above 50 dB. Experimental results demonstrate that our proposed method leads to significant improvements compared to the current state-of-the-art methods.