Internal:Adaptive Meshing For APBNRR
Problem Description
Reducing the error for NRR applications depends among other factors on the Equi-distribution of the registration points within the mesh. The goal of this project is to explore metric adaptive methods from CFD and apply them if possible in the area of Non-Rigid Registration.
Methods
Method 1 :Isotropic Sizing Functions based on knn
Already in [1] two attempts were made.
- Creating new splitting rules in a BCC-based mesh generator and
- Creating a sizing function for TetGen and NETGEN.
The sizing function of the second approach is based on a distance criterion. In particular:
The sizing value at each mesh vertex was initialized with the distance to the kth registration point closest to it, to reflect the density of the registration point distribution. The idea here is that the shape of a perfect mesh vertex cell complex is close to a ball with the radius prescribed by the background mesh. [1] Where vertex cell complex is defined as the union of all the elements attached to a vertex.
Results
Method 1
References
- ↑ 1.0 1.1 A. Fedorov and N. Chrisochoides, “Tetrahedral Mesh Generation for Non-rigid Registration of Brain MRI: Analysis of the Requirements and Evaluation of Solutions,” in Proceedings of the 17th International Meshing Roundtable, Berlin, Heidelberg, 2008, pp. 55–72, doi: 10.1007/978-3-540-87921-3_4.