Title: Flow-Matching Guided Deep Unfolding for Hyperspectral Image Reconstruction
Primary area: applications to computer vision, audio, language, and other modalities
Keywords: Flow Matching, Hyperspeactral Image Reconstruction

Abstract: Hyperspectral imaging (HSI) provides rich spatial–spectral information but remains costly to acquire due to hardware limitations and the difficulty of reconstructing three-dimensional data from compressed measurements. Although compressive sensing systems such as CASSI improve efficiency, accurate reconstruction is still challenged by severe degradation and loss of fine spectral details. We propose the \textit{Flow-Matching-guided Unfolding network} (FMU), which, to our knowledge, is the first to integrate flow matching into HSI reconstruction by embedding its generative prior within a deep unfolding framework. To further strengthen the learned dynamics, we introduce a mean velocity loss that enforces global consistency of the flow, leading to a more robust and accurate reconstruction. This hybrid design leverages the interpretability of optimization-based methods and the generative capacity of flow matching. Extensive experiments on both simulated and real datasets show that FMU significantly outperforms existing approaches in reconstruction quality. Code and models will be publicly available.