On the improvement of the Topological Active Volumes model - A tetrahedral approach

The Topological Active Volumes model is a 3D active model focused on segmentation and reconstruction tasks. The segmentation process is based on the adjustment of a 3D mesh composed of polyhedra. This adjustment is guided by the minimisation of several energy functions related to the mesh. Even though the original cubic mesh achieves good segmentation results, it hits difficulties in some cases due to its shape. This paper proposes a new topology for the TAV mesh based on tetrahedra that overcomes the cubic mesh difficulties. Also, the paper explains an improvement in the tetrahedral topology to increase the accuracy of the results as well as the efficiency of the overall process.