Molecular Computational Anatomy: Unifying the Particle to Tissue Continuum via Measure Representations of the Brain

We formalized the mathematical representation of imaging data features from the molecular to anatomical scales, and showed analysis for several examples including deposition of pathology in Alzheimer's disease.

M. Miller, D. J. Tward, and A. Trouv{\'e}, in BME Frontiers.
infinitesimal drift diffeomorphometry models for population shape analysis

This work discusses time dependent models of shape changes to study neurodegeneration.

B. C. Lee, D. J. Tward, Z. Hu, A. Trouve, and M. I. Miller, in Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops.
Coarse-to-Fine Hamiltonian Dynamics of Hierarchical Flows in Computational Anatomy

We developed optimal control formulations for parameterizing deformations and features described at multiple scales. This work is contributing to brain atlasing initatives for microscopy images.

M. I. Miller, D. J. Tward, and A. Trouve, in Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops.
Parametric surface diffeomorphometry for low dimensional embeddings of dense segmentations and imagery
D. Tward, M. Miller, A. Trouve, and L. Younes, in IEEE transactions on pattern analysis and machine intelligence.
Improved reproducibility of neuroanatomical definitions through diffeomorphometry and complexity reduction
D. Tward, J. Jovicich, A. Soricelli, G. Frisoni, A. Trouv{\'e}, L. Younes, and M. Miller, in International Workshop on Machine Learning in Medical Imaging.