Applied Differential Geometry

  • Adres

    Groene Loper 5, MetaForum MF 7.071b (building 5)

    5612AE Eindhoven

    Nederland

Organisatieprofiel

Introductie / missie

Applied Differential Geometry seeks opportunities for applying differential geometry to science and technology, with a focus on healthcare technology driven by complex imaging modalities and on extensions of general relativity theory.

Highlighted phrase

Applying differential geometry to solve 21st century grand challenges

Over de organisatie

Societal challenges and scientific curiosity are important actuators for mathematics, and vice versa. This is especially true for differential geometry, a generic framework straddling many areas of science and technology, as it essentially deals with `stuff’ that furnishes space and time..

Our strategy is to engender and exploit synergies among said `X-geometries’ by investigating their common ground. This argues for an approach beyond axiomatics in terms of operational concepts (`algorithms’). Our stratagem is to pursue our mission by combining inductive and analytical reasoning, establishing differential geometry (i) as an overarching framework for distinct application areas to fruitfully exchange ideas, and (ii) as a firm basis for incorporating artificial intelligence techniques to learn from annotated data while respecting a priori geometric constraints (geometric deep learning).

We are currently working on the following programmes: neurogeometry, cardiovascular geometry and spacetime geometry.

Vingerafdruk

Verdiep u in de onderzoeksgebieden waarop Applied Differential Geometry 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
  • 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

  • Automatic tractography for brain tumor surgery: towards clinical application

    Meesters, S., Landers, M., Rutten, G-J. & Florack, L., 2021, Proceedings of the ISMRM & SMRT Annual Meeting & Exhibition 15-20 May 2021.

    Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

    Bestand