Abstract

Low-Rank Tensor Optimization With Nonlocal Plug-and-Play Regularizers for Snapshot Compressive Imaging

Highlights

  • H YPERSPECTRAL images (HSIs) are naturally thirdorder tensors consisting of 1D spectral and 2D spatial information

  • The parameters involved in generalized alternating projection based total variation (GapTV) and NGMeet are tuned to the best performance, and the parameters involved in the decompressed SCI (DeSCI) are set following the suggestion of the source codes

  • We use the mean of peak signal-to-noise ratio (PSNR) (MPSNR) values of all bands, the mean of structural similarity index measure (SSIM) (MSSIM) values of all bands, and spectral angle mapper (SAM) to objectively evaluate the reconstructed results of simulated experiments

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Summary

Introduction

H YPERSPECTRAL images (HSIs) are naturally thirdorder tensors consisting of 1D spectral and 2D spatial information. For the high-resolution spectral information of HSIs, they have been widely employed in many fields, such as resource detection [1], target recognition [2], and environmental monitoring [3]. With promising applications is snapshot compressive imaging (SCI) [15]–[18]. The SCI system samples a set of contiguous channels (e.g., coded aperture compressive spectral imaging (CASSI) [19]) to obtain 2D compressed measurements, greatly reducing the computational workload. To reconstruct HSIs from 2D measurements, various methods have been proposed. These methods can be divided into two categories: (1) deep learning-based methods; (2) model-based methods

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