Séminaire Maths-Bio-Santé

Representing and Mapping 3D Imaging and Spatial-omics Data Simultaneously Across Scales with Image-Varifold

by Benjamin Charlier (Inrae)

Europe/Paris
Description

Recent advances in imaging and molecular profiling technologies have enabled the acquisition of data at subcellular resolution. However, integrating such data across modalities, spatial scales, and acquisition protocols remains a major challenge due to differences in resolution, feature types, and physical coverage.
In this talk, I will present a suite of technologies we have developed for cross-modality 3D mapping, enabling non-rigid alignment of transcriptomic data at micron scales (genes and cells) to anatomical structures at tissue and organ scales. Our approach addresses three key challenges:

1. **Comparing diverse modalities** using the mathematical framework of image-varifold norms
2. **Managing massive data volumes** through a multiscale strategy for computing non-rigid deformations efficiently
3. **Handling incomplete data** via partial matching methods that map full-brain references to sparsely sampled sub-volumes

We introduce **xIV-LDDMM**, a cross-modality image-varifold Large Deformation Diffeomorphic Metric Mapping toolkit. This framework enables efficient representation and registration of peta-scale datasets, bridging spatial scales from nanometers to millimeters.

These methods are detailed in:

- Stouffer KM, Chen X, Zeng H, Charlier B., *et al.* _xIV-LDDMM Toolkit: A Suite of Image-Varifold Based Technologies for Representing and Mapping 3D Imaging and Spatial-omics Data Simultaneously Across Scales_. Submitted. 2025. [PubMed](https://pubmed.ncbi.nlm.nih.gov/39574713)
- Stouffer KM, Trouvé A, Younès L, Kunst M., *et al.* _Cross-modality mapping using image varifolds to align tissue-scale atlases to molecular-scale measures with application to 2D brain sections_. *Nat Commun.* 2024 Apr 25;15(1):3530. [PubMed](https://pubmed.ncbi.nlm.nih.gov/38664422)