Mathematical Image Analysis
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
Development of new methodologies and algorithms for the representation and analysis of complex imaging data (`big images’) for healthcare applications.
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
Recent Publications
Our most recent peer reviewed publications
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Fan Huang,Samaneh Abbasi-Sureshjani,Jiong Zhang,Erik J. Bekkers,Behdad Dasht Bozorg,Bart M. ter Haar Romeny
Vascular biomarkers for diabetes and diabetic retinopathy screening
(2019) -
Remco Duits,Erik J. Bekkers,Alexey Mashtakov
Fourier transform on the homogeneous space of 3D positions and orientations for exact solutions to linear PDEs
Entropy (2019) -
Tom Dela Haije,Peter Savadjiev,Andrea Fuster,Robert T. Schultz,Ragini Verma,Luc Florack,Carl-Fredrik Westin
Structural connectivity analysis using Finsler geometry
SIAM Journal on Imaging Sciences (2019) -
Stephan Meesters,Geert-Jan Rutten,Andrea Fuster,Luc Florack
Automated tractography of four white matter fascicles in support of brain tumor surgery
Organization for Human Brain Mapping annual meeting (2019) -
M.H.J. Janssen,A.J.E.M. Janssen,E.J. Bekkers,J. Oliván Bescós,R. Duits
Design and processing of invertible orientation scores of 3D images
Journal of Mathematical Imaging and Vision (2018)
Education
More about MIA
Contact
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Visiting address
MetaforumGroene Loper 55612 AP EindhovenNetherlands -
Visiting address
Department of Mathematics and Computer ScienceP.O. Box 5135600 MB EindhovenNetherlands -
Secretary