VmambaSCI: Dynamic Deep Unfolding Network with Mamba for Compressive Spectral Imaging

Snapshot spectral compressive imaging can capture spectral information across multiple wavelengths in one imaging. The coded aperture snapshot spectral imaging (CASSI) method, aims to recover 3D spectral cubes from 2D measurements. Most existing approaches employ a deep unfolding framework based on Transformer, which alternately address a data subproblem and a prior subproblem. However, these frameworks lack flexibility regarding the sensing matrix and inter-stage interactions. In addition, the quadratic computational complexity of global Transformer and the restricted receptive field of local Transformer impact reconstruction efficiency and accuracy. In this paper, we propose a dynamic deep unfolding network with mamba for compressive spectral imaging, called VmambaSCI. We integrate spatial-spectral information from the sensing matrix into the data module and utilizes spatial adaptive operations in the stage interaction of the prior module. Furthermore, recognizing that the imaging process causes aliasing of spatial and spectral information, we develop a dual-domain scanning mamba (DSMamba), featuring a novel spatial-channel scanning method for enhanced efficiency and accuracy. To our knowledge, VmambaSCI is the first Mamba-based model for compressive spectral imaging. Experimental results on the public databases, CAVE and KAIST, demonstrate the superiority of the proposed VmambaSCI over the state-of-the-art approaches.