What we have presented is a broad overview of the application of the mathematical tools we have learned to image matching. If the simpler examples have whet your appetite for more rigorous reading, below you will find a list explaining the technical details of Large Deformation Diffeomorphic Metric Mapping (LDDMM).
- Mirza Faisal Beg et al. Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms. International Journal of Computer Vision Vol. 61 No. 2, 2005, pp. 139-157
- Michael I. Miller et al. On the Metrics and Euler-Lagrange Equations of Computational Anatomy. Annual Review of Biomedical Engineering Vol. 4, 2002, pp. 375-405
- Michael I. Miller et al. Geodesic Shooting for Computational Anatomy. Journal of Mathematical Imaging and Vision Vol. 24, No. 2, 2006, pp. 209-228