Mathematical Methods in MRI - SFB MR-DYNAMO Workshop

Session

Contributed Talks: Session 3

20 May 2026, 16:15

HS 1 (ATK1120H), Rechbauerstraße 12

Conveners

Contributed Talks: Session 3

• Martin Uecker (TU Graz)

23. Nonlinear gradient modulations, multi-shot EPI, parallel imaging in a unified RKHS framework

Mr Rui Tian

20/05/2026, 16:15

MRI mainly relies on linear gradients for spatial encoding. However, nonlinear spatial encoding functions – such as RF receivers’ sensitivities in parallel imaging, actively produced nonlinear gradient modulations in FRONSAC, or naturally occurred shot-to-shot phase variations in multi-shot EPI – can significantly impact acquisition speed and spatial resolution. Inspired by the reproducing...

21. Non-standard inner products in MRI reconstruction

Dr Bastien Milani

20/05/2026, 16:40

This abstract aims to describe MRI reconstructions in the general framework of finite-dimensional inner-product spaces. We explain that image-space preconditioning (ISP) and data-space preconditioning (DSP) can be formulated as non-conventional inner-products. This allows to introduce image-space preconditioning in the variational formulation of the MRI reconstruction problem (in an...

26. Physical correctness of data consistency in state space model-based MRI reconstruction

Mr Xin Zhao (Department of Neurophysics, Max Planck Institute for Human Cognitive and Brain Sciences)

20/05/2026, 17:05

State space models (SSMs) have recently emerged as efficient alternatives to Transformers for MRI reconstruction, offering linear complexity while maintaining global receptive fields. LMO (Linear Mamba Operator, Li et al., CVPR 2025) formulates MRI reconstruction as operator learning in bandlimited function spaces, achieving competitive results on standard benchmarks. We identify a physical...