Super-Resolution for Macro X-Ray Fluorescence Data Collected from Old Master Paintings

Macro X-ray fluorescence (MA-XRF) scanning is commonly used to non-invasively analyse Old Master paintings by mapping the distribution of the chemical elements present in the artworks. The visual quality of the element distribution maps is very important for characterising the materials and understanding the execution and condition of the painting. However, this quality is limited by the acquisition time for the XRF datacube, resulting in a trade-off between signal-to-noise ratio (SNR) and spatial resolution. To solve this problem we propose to enhance the spatial resolution of the XRF datacube of a painting leveraging a corresponding high-resolution (HR) RGB image. We achieve that by introducing a method based on coupled dictionary learning along with a similarity constraint based on mutual information. In particular, we divide the RGB image and the XRF datacube into a common part and a unique part based on whether the information is shared or not, and then transfer the HR information between the two common parts, resulting in high-quality reconstructions. Numerical results show that our XRF super-resolution method outperforms the other state-of-the-art approaches.