Centered cubic lattice method comparison

Abstract

The Centered Cubic Lattice method is used for an iso-surface extraction. This paper focuses on its comparison with other fundamental methods (Marching Cubes, Marching Tetrahedra) that are also used to extract an iso-surface from regular volume data. Iso-surfaces that are generated using above mentioned methods and mathematical data are compared due to area and volume approximation. The Hausdorff and RMS distances are also utilized for comparisons. Also all possible cell tessellations into 6 tetrahedra are discussed and analyzed. We think that such a comparison can be helpful to decide which of tested methods should be chosen when we have concrete demands concerning the iso-surface. Also newly developed methods can be compared with existing ones in the similar way.