Dr. Joan Duran Grimalt is an Associate Professor at the University of the Balearic Islands (UIB) , affiliated with the Department of Mathematical Sciences and Computer Science . He is a member of the Mathematical Image Analysis (TAMI) research group and Institute for Community Code Computing Applications (IAC3) . His work bridges nonlinear functional analysis , calculus of variations , and deep learning for applications in image processing and computer vision . PhD in Mathematics (2016) from UIB MSc in Advanced Mathematics and Mathematical Engineering (2011) from UPC BSc in Mathematics (2010) from UIB His research integrates partial differential equations , convex optimization , and deep unfolding architectures to solve problems in satellite imaging , hypersharpening , and low-light image enhancement . Recent work focuses on nonlocal regularization, multi-head attention mechanisms, and model-guided neural networks. He has led two research projects and collaborated with institutions such as the French National Centre for Space Studies (CNES) and the Balearic Islands Oceanographic Centre . Key contributions include: State-of-the-art methods for pansharpening and hypersharpening using nonlocal modules Unfolding frameworks combining variational models with deep learning Retinex-based enhancement techniques for low-light imaging He has supervised PhD students Daniel Torres and Francesc Alcover and taught courses like Partial Differential Equations , Fundamentals of Mathematics , and Mathematical Models for Image Restoration across multiple degrees including Mathematics, Computer Engineering, and Chemistry. His personal website provides further details.






