Joan Duran

Associate Professor of Applied Mathematics
Department of Mathematics and Computer Science
Institute of Applied Computing and Community Code (IAC3)
University of the Balearic Islands

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I am an associate professor of Applied Mathematics in the Department of Mathematics and Computer Science at the University of the Balearic Islands (UIB). I am a member of the Mathematical Image Processing (TAMI) research group and of the Institute of Applied Computing and Community Code (IAC3). From July 2021, I am deputy director of the Higher Polytechnic School and head of studies of the Degree in Mathematics.

My main research interests currently include nonlinear analysis, calculus of variations, partial differential equations, convex optimization, and deep unfolding architectures, with applications in image processing, satellite imaging, and computer vision.

I have participated in several national and international research projects, leading two of them. I have collaborated with the National Centre for Space Studies (CNES) in France by contributing to the image restoration chain of Earth observation satellites, and with the Oceanographic Centre of the Balearic Islands, working on deep unfolding architectures for the fusion of remote sensing data and the automatic detection of floating objects in the Mediterranean Sea.

I have been a visiting researcher in the groups led by Prof. Daniel Cremers at the Technical University of Munich, Prof. Jean-Michel Morel at Centre de Mathématiques et Leurs Applications at ENS Paris-Saclay, and Prof. Joan Bruna at the Courant Institute of Mathematical Sciences and the Center for Data Science at New York University.

If you are BSc/MSc/PhD student looking for a research internship or a UIB student interested in pursuing your degree/master thesis with me, please visit my mentoring page.

News

Dec 7, 2023 Three conference papers accepted at VISAPP 2024, to be held in Rome, Italy.
Dec 4, 2023 Two short conference papers accepted at MIGARS 2024, to be held in Wellington, New Zealand.
Oct 10, 2023 M. Francesc Alcover and Daniel Torres started their PhD on Nonlocal theory for variational problems and partial differential equations and on Combining variational models and deep learning for image processing problems, respectively.
Apr 4, 2023 Deep unfolding for hypersharpening using a high-frequency injection module accepted at CVPR Earthvision Workshop 2023, to be held in Vancouver, Canada.
Apr 3, 2023 End-to-end shallow network for variational pansharpening accepted at IGARSS 2023, to be held in Pasadena, California.
Mar 28, 2023 I got a permanent position as Associate Professor (Profesor Titular de Universidad) of Applied Mathematics in the Department of Mathematics and Computer Science at the University of the Balearic Islands.

Recent Publications

  1. A simple nonlocal back-projection unfolded network for pansharpening
    Pereira-Sánchez, I., Sans, E., Navarro, J.,  and Duran, J.
    In Proceedings of the International Conference on Machine Intelligence for Geoanalytics and Remote Sensing (MIGARS), Wellington, New Zealand, 2024

  2. Improving marine litter segmentation with limited resolution satellite imagery
    Costa, A., Sans, E., Pereira-Sánchez, I.,  Duran, J.,  and Navarro, J.
    In Proceedings of the International Conference on Machine Intelligence for Geoanalytics and Remote Sensing (MIGARS), Wellington, New Zealand, 2024

  3. Two nonlocal variational models for Retinex image decomposition
    Hammond, F.W., Sbert, C.,  and Duran, J.
    In Proceedings of the International Conference on Computer Vision, Theory and Applications (VISAPP), Rome, Italy, 2024

  4. Beyond variational models and self-similarity in super-resolution: Unfolding models and multi-head attention
    Pereira-Sánchez, I., Sans, E., Navarro, J.,  and Duran, J.
    In Proceedings of the International Conference on Computer Vision, Theory and Applications (VISAPP), Rome, Italy, 2024

  5. Combining total variation and nonlocal variational models for low-light image enhancement
    Torres, D., Sbert, C.,  and Duran, J.
    In Proceedings of the International Conference on Computer Vision, Theory and Applications (VISAPP), Rome, Italy, 2024

  6. Deep unfolding for hypersharpening using a high-frequency injection module
    Mifdal, J., Tomás-Cruz, M., Sebastianelli, A., Coll, B.,  and Duran, J.
    In Proceedings of the IEEE International Conference on Computer Vision and Pattern Recognition (CVPR), Earthvision Workshop, Vancouver, Canada, 2023