Recent pan-sharpening methods have predominantly utilized techniques tailored for natural image scenes, often overlooking the unique features arising from non-overlapping spectral responses. In light of this, we have reevaluated the utility of panchromatic (PAN) images and introduced a theory anchored in the spectral response of satellite sensors. This posits that a PAN image is effectively a linear weighted summation of individual bands from its corresponding multi-spectral (MS) image, offset by an error map. We developed a deep unmixing network termed “DUN” that integrates an unmixing network, a fusion mechanism, and a distinctive mutual information contrastive loss function. Notably, the unmixing network is adept at decomposing a PAN image into its MS counterpart and error map. Further, the demixed image alongside the low-resolution MS image is channeled into the fusion network for pan-sharpening. Recognizing the challenges of achieving robust supervised learning directly from the unmixing phase, we have innovated a mutual information contrastive learning loss function, ensuring enhanced separation and minimizing overlap during the unmixing process. Preliminary experiments underscore both the quantitative and qualitative prowess of the proposed method.

Abstract The existing deep learning‐based face super‐resolution techniques can achieve satisfactory performance. However, these methods often incur large computational costs, and deeper networks generate redundant features. Some lightweight reconstruction networks also present limited representation ability because they ignore the entire contour and fine texture of the face for the sake of efficiency. Here, the authors propose a convenient alternating projection network (CAPN) for efficient face super‐resolution. First, the authors design a novel alternating projection block cascaded convolutional neural network to alternately achieve content consistency and learn detailed facial feature differences between super‐resolution and ground‐truth face images. Second, the self‐correction mechanism enabled the convolutional layer to capture faithful features that facilitate adaptive reconstruction. Moreover, a convenient connection operation can reduce the generation of redundant facial features while maintaining accurate reconstruction information. Extensive experiments demonstrated that the proposed CAPN can effectively reduce the computational cost while achieving competitive qualitative and quantitative results compared to state‐of‐the‐art super‐resolution methods.