Research Article
Robust Diffeomorphic Mapping via Geodesically Controlled Active Shapes
Algorithm 2
Geodesically controlled diffeomorphic active shapes.
(A) Training. | Generate a template surface from surfaces using the method in [35]. | Map to the surfaces and obtain the initial momenta . Compute the. | mean momentum and perform PCA in the tangent space as described in Section 2.2. | Estimate the constant , and other terms required for (e.g., estimate the density | function and for interior and exterior of ROI from training images as described in Section 3.4.1). | (B) Segmentation. | Initialize the template surface , and register the target data to it (e.g., through a | similitude matching, rigid motion scale). | Run Algorithm 1 to optimize the initial momentum . | The result of segmentation is the deformed surface . Apply the inverse of the | transformation in step 1 if necessary. |
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