Implementing polygonal isosurface extraction using the Marching Tetrahedra algorithm

In the Implementing pseudo-isosurface rendering in single-pass GPU ray casting recipe, we implemented pseudo-isosurface rendering in single-pass GPU ray casting. However, these isosurfaces are not composed of triangles; so it is not possible for us to uniquely address individual isosurface regions easily to mark different areas in the volume dataset. This can be achieved by doing an isosurface extraction process for a specific isovalue by traversing the entire volume dataset. This method is known as the Marching Tetrahedra (MT) algorithm. This algorithm traverses the whole volume dataset and tries to fit a specific polygon based on the intersection criterion. This process is repeated for the whole volume and finally, we obtain the polygonal mesh from the volume dataset.

Getting ready

The code for this recipe is in the Chapter7/MarchingTetrahedra directory. For convenience, we will wrap the Marching Tetrahedra...