Mathematical Image Analysis

  • Adres

    Groene Loper 5, Metaforum

    5612 AP Eindhoven

    Nederland

Organisatieprofiel

Introductie / missie

We are interested in inverse problems, such as: 

  • Inference of brain anatomy from diffusion weighted magnetic resonance imaging (tractography, connectivity)
  • Detection, enhancement, completion, and geometric analysis of elongated structures in 2-and 3-dimensional images
  • AI enhanced geometric image analysis

Highlighted phrase

Development of new methodologies and algorithms for the representation and analysis of complex imaging data (`big images’) for healthcare applications.

Over de organisatie

Our methodological approach relies on a broad spectrum of mathematical techniques, such as
• Finsler geometry
• tensor calculus
• Lie group theory
• calculus of variations
• geometric control theory
• semigroup theory for multiresolution
representations
• ordinary and partial differential equations
• deep learning

We are also interested in methodological tangencies with other scientific disciplines, such as theoretical physics, e.g.
• mathematical relativity

Success stories
The group has conducted several feasibility studies establishing proof of concept for clinical applications, such as
• myocardial motion, deformation, and strain can be obtained for myocardial function analysis from tagging magnetic resonance imaging
• the optic radiation can be delineated including the Meyer’s tip for temporal lobe resection therapy planning and risk analysis from diffusion weighted magnetic resonance imaging
• retinal vascular trees can be robustly extracted and analyzed from retinal fundus images

Project examples
1. Lie Group Theory & Differential Geometry for Medical Image Analysis, Remco Duits
2. Riemann-Finsler Geometry for Brain Connectivity and Tractography, Luc Florack & Andrea Fuster
3. Differential Geometry in Complex Medical Imaging & Relativity Theory, Andrea Fuster
4. Roto-Translation Covariant Convolutional Networks for Medical Image Analysis, Erik Bekkers

VN Doelstellingen voor duurzame ontwikkeling

In 2015 stemden de VN-lidstaten in met 17 wereldwijde duurzame ontwikkelingsdoelstellingen (Sustainable Development Goals, SDG's) om armoede te beëindigen, de planeet te beschermen en voor iedereen welvaart te garanderen. Ons werk draagt bij aan de volgende duurzame ontwikkelingsdoelstelling(en):

  • SDG 3 – Goede gezondheid en welzijn

Vingerafdruk

Verdiep u in de onderzoeksgebieden waarop Mathematical Image Analysis actief is. Deze onderwerplabels komen uit het werk van de leden van deze organisatie. Samen vormen ze een unieke vingerafdruk.

Netwerk

Recente externe samenwerking op landen-/regioniveau. Duik in de details door op de stippen te klikken of
  • Quantum gravity phenomenology at the dawn of the multi-messenger era—A review

    Addazi, A., Alvarez-Muniz, J., Alves Batista, R., Amelino-Camelia, G., Antonelli, V., Arzano, M., Asorey, M., Atteia, J. L., Bahamonde, S., Bajardi, F., Ballesteros, A., Baret, B., Barreiros, D. M., Basilakos, S., Benisty, D., Birnholtz, O., Blanco-Pillado, J. J., Blas, D., Bolmont, J., Boncioli, D. & 142 anderen, Bosso, P., Calcagni, G., Capozziello, S., Carmona, J. M., Cerci, S., Chernyakova, M., Clesse, S., Coelho, J. A. B., Colak, S. M., Cortes, J. L., Das, S., D'Esposito, V., Demirci, M., Di Luca, M. G., di Matteo, A., Dimitrijevic, D., Djordjevic, G., Prester, D. D., Eichhorn, A., Ellis, J., Escamilla-Rivera, C., Fabiano, G., Franchino-Viñas, S. A., Frassino, A. M., Frattulillo, D., Funk, S., Fuster, A., Gamboa, J., Gent, A., Gergely, L., Giammarchi, M., Giesel, K., Glicenstein, J. F., Gracia-Bondía, J., Gracia-Ruiz, R., Gubitosi, G., Guendelman, E. I., Gutierrez-Sagredo, I., Haegel, L., Heefer, S., Held, A., Herranz, F. J., Hinderer, T., Illana, J. I., Ioannisian, A., Jetzer, P., Joaquim, F. R., Kampert, K. H., Uysal, A. K., Katori, T., Kazarian, N., Kerszberg, D., Kowalski-Glikman, J., Kuroyanagi, S., Lämmerzahl, C., Said, J. L., Liberati, S., Lim, E., Lobo, I. P., López-Moya, M., Luciano, G. G., Manganaro, M., Marcianò, A., Martín-Moruno, P., Martinez, M., Martinez, M., Martínez-Huerta, H., Martínez-Miravé, P., Masip, M., Mattingly, D., Mavromatos, N., Mazumdar, A., Méndez, F., Mercati, F., Micanovic, S., Mielczarek, J., Miller, A. L., Milosevic, M., Minic, D., Miramonti, L., Mitsou, V. A., Moniz, P., Mukherjee, S., Nardini, G., Navas, S., Niechciol, M., Nielsen, A. B., Obers, N. A., Oikonomou, F., Oriti, D., Paganini, C. F., Palomares-Ruiz, S., Pasechnik, R., Pasic, V., Pérez de los Heros, C., Pfeifer, C., Pieroni, M., Piran, T., Platania, A., Rastgoo, S., Relancio, J. J., Reyes, M. A., Ricciardone, A., Risse, M., Rodriguez Frias, M. D., Rosati, G., Rubiera-Garcia, D., Sahlmann, H., Sakellariadou, M., Salamida, F., Saridakis, E. N., Satunin, P., Schiffer, M., Schüssler, F., Sigl, G., Sitarek, J., Peracaula, J. S., Sopuerta, C. F., Sotiriou, T. P., Spurio, M., Staicova, D., Stergioulas, N., Stoica, S., Strišković, J., Stuttard, T., Cerci, D. S., Tavakoli, Y., Ternes, C. A., Terzić, T., Thiemann, T., Tinyakov, P., Torri, M. D. C., Tórtola, M., Trimarelli, C., Trześniewski, T., Tureanu, A., Urban, F. R., Vagenas, E. C., Vernieri, D., Vitagliano, V., Wallet, J. C. & Zornoza, J. D., 19 feb. 2022, (Geaccepteerd/In druk) In: Progress in Particle and Nuclear Physics. 103948.

    Onderzoeksoutput: Bijdrage aan tijdschriftArtikel recenserenAcademicpeer review

    Open Access
    2 Citaten (Scopus)
  • Anisotropy Across Fields and Scales

    Özarslan, E. (redactie), Schultz, T. (redactie), Zhang, E. (redactie) & Fuster, A. (redactie), 2021, Springer. (Mathematics and Visualization; vol. 4562)

    Onderzoeksoutput: Boek/rapportBoekredactieAcademicpeer review

    Open Access
  • A Novel Algorithm for Region-to-Region Tractography in Diffusion Tensor Imaging

    Smolders, L., Sengers, R., Fuster, A., de Berg, M. & Florack, L., 2021, Computational Diffusion MRI : 12th International Workshop, CDMRI 2021, Held in Conjunction with MICCAI 2021, Strasbourg, France, October 1, 2021, Proceedings. Cetin-Karayumak, S., Christiaens, D., Figini, M., Guevara, P., Gyori, N., Nath, V. & Pieciak, T. (redactie). Cham: Springer, blz. 71-81 11 blz. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 13006 )(Image Processing, Computer Vision, Pattern Recognition, and Graphics (LNIP); vol. 13006).

    Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review