The objective of the cours will be to become familiar with biomechanical modeling based on the finite element method, with special focus on the soft tissue modeling in medical simulations. Both the geometrical and physical aspects will be covered.
First, we will study different representations of patient-specific data in the form of acquired images (CT, MRI, ultrasound). We will explain the process of model reconstruction from images: the procedure of segmentation and mesh generation. We will define the notion of mesh quality. After discovering the techniques dealing with the geometry, we will introduce the physical aspects: we will study the numerical formulation of linear elasticity as well as the method of solving the systems of linear equations. Briefly, we will also focus on non-linear models resulting from co-rotational and hyperelastic formulations.
The knowledge of the theoretical aspects will be strengthened by practical applications where we will work directly with the medical data. We will test various methods of (i) image processing aiming to improve the image contrast, (ii) segmentation of regions of interest (ITKSnap), (iii) mesh generation and post-processing (CGAL, MeshLab), and (v) visualization (Paraview). Finally, we will employ the reconstructed geometry to create a simulation scene in SOFA framework.