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. ...

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