Fig. 20
From: An extended triangulation to the Marching Cubes 33 algorithm
A comparison of meshes generated by Raman and Wenger and our methods. A randomly generated scalar field firstly sampled on a 64×64×64 grid in a way to guarantee no ambiguous configurations in the grid is used as input to the Marching Cubes algorithm (yellow mesh presents the correct topology of the trilinear interpolant), then the same scalar field is sampled on a 6×6×6 grid and used as input to the SnapMC (blue meshes) and our method (red meshes) for the parameter λ equal to 0.0, 0.1, and 0.2. Our algorithm is capable of better preserving the topology of the trilinear surface while generating good quality triangles