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.
Diffeomorphic Upsampling of Serially Acquired Sparse 2D Cross-Sections in Cardiac MRI

We design diffeomorphic techniques to estimate unobserved data between sparsely sampled slices in cardiac MRI.

B. C. Lee, D. J. Tward, J. Wei, D. Tipre, R. G. Weiss, M. I. Miller, and S. Ardekani, in 2019 41st Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC).
Estimating diffeomorphic mappings between templates and noisy data: Variance bounds on the estimated canonical volume form

We derived the Cramer Rau bound for estimating volume changes from deformable image registration, which is a lower bound on the variance of an estimator. We demonstrated its implications for image registration performance in asymmetric methods versus symmetric methods, the former generally performing better.

D. J. Tward, P. P. Mitra, and M. I. Miller, in Quarterly of applied mathematics.
On variational solutions for whole brain serial-section histology using the computational anatomy random orbit model
B. C. Lee, D. J. Tward, P. P. Mitra, and M. I. Miller, in arXiv preprint arXiv:1802.03453.
Computational anatomy and diffeomorphometry: A dynamical systems model of neuroanatomy in the soft condensed matter continuum
M. I. Miller, S. Arguill{\`e}re, D. J. Tward, and L. Younes, in Wiley Interdisciplinary Reviews: Systems Biology and Medicine.
Cover Image, Volume 10, Issue 6
M. I. Miller, S. Arguill{\`e}re, D. J. Tward, and L. Younes, in Wiley Interdisciplinary Reviews: Systems Biology and Medicine.
On the Complexity of Human Neuroanatomy at the Millimeter Morphome Scale: Developing Codes and Characterizing Entropy Indexed to Spatial Scale
D. J. Tward, and M. I. Miller, in Frontiers in neuroscience.
Performance of Image Matching in the Computational Anatomy Gateway: CPU and GPU Implementations in OpenCL
D. J. Tward, B. Lee, P. Mitra, and M. I. Miller, in Proceedings of the Practice and Experience in Advanced Research Computing 2017 on Sustainability, Success and Impact.
Reducing variability in anatomical definitions over time using longitudinal diffeomorphic mapping
D. J. Tward, C. S. Sicat, T. Brown, A. Bakker, and M. I. Miller, in International Workshop on Spectral and Shape Analysis in Medical Imaging.
Tools for studying populations and timeseries of neuroanatomy enabled through GPU acceleration in the computational anatomy gateway
D. J. Tward, A. Kolasny, C. S. Sicat, T. Brown, and M. I. Miller, in Proceedings of the XSEDE16 Conference on Diversity, Big Data, and Science at Scale.

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