Physically consistent registration of extraocular muscle models from MRI

Building realistic subject-specific models of the orbit from medical images is important in biomechanical simulations to improve our understanding of extraocular muscle function and the mechanism of human eye movement. With advances in MRI techniques, configurations of orbital structures in different gazes can be captured. We propose to integrate estimated material properties of extraocular muscles in the surface reconstruction to achieve consistent parameterization across gazes. A constrained optimization problem is solved, which generates parametric surfaces satisfying material property constraints. The resultant anatomically accurate and physically meaningful models are discretized in the corresponding deformed material coordinates and consistent with the real tissue deformation. Material correspondences are provided directly. This will ease biomechanical simulation and inverse model parameter estimation.