ISOSURFACE CONSTRUCTION FROM A DATA SET SAMPLED ON A FACE-CENTERED-CUBIC LATTICE
Tomokazu Takahashi, Tatsuhiro Yonekura, rumboric dodecehedron · 2002
A method for constructing the isosurface from a data set on a face-centered-cubic lattice has been developed. Generally, a three-dimensional scalar field is sampled on an orthogonal cubic lattice. And an algorithm called Marching Cubes is widely used for constructing the isosurface on this lattice. It is known, however, that data sampling of a three-dimensional scalar field on a face-centered-cubic lattice is theoretically optimum in terms of the density of the lattice points among the variety of sampling method. The isosurface on a face-centered-cubic lattice constructed by the proposed method is well approximated as a polyhedron by means of linear interpolation. Isosurfaces are constructed by the proposed method and by current ones in order to compare the properties of the surfaces. It was thus shown that the proposed method is more effective in terms of smoothness in appearance of isosurfaces. keywords: Isosurface construction, Face-centered-cubic lattice, Marching Cubes, Implicit surface