Figure 8

The Figure 8 our paper shows a problem with Chernyaev’s triangulation table and an implementation issue on Lewiner work. The figure shows the resulting meshes of a zero level-set of a 5 × 5 × 5 randomly generated piecewise- trilinear scalar field. The correct isosurface is shown in red. The green mesh represents the result of our modification on Lewiner implementation plus the subdivide method proposed in Section 6.2. The yellow mesh was obtained by our modification of Lewiner implementation, and we can observe that, even with a correct implementation of Chernyaev’s work, the resulting mesh presents a topological inconsistency, a non-manifold mesh. The blue mesh was obtained by Lewiner implementation of MC33, where the implementation issues observed on our paper generates a topological inconsistency on resulting mesh.