Research Article
Robust Diffeomorphic Mapping via Geodesically Controlled Active Shapes
Algorithm 1
Geodesically controlled diffeomorphic segmentation algorithm.
In order to find an initial momentum minimizing (6) | Initialize with being vertices of template and . | For the current system, update matrices and according to and (19). | Compute the gradient , for example using (14), (16), or (21). | Solve system backward in time with initial condition and . | Replace by , being optimized with a line search. | Update the initial momentum , and solve (2) initialized at | , to obtain the updated surface . | Iterate steps 2 to 6 until numerical convergence or reaching the maximum iteration limit. |
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