Abstract: For generic 3D sampling, the Body Centered Cubic (BCC) lattice and the Face Centered Cubic (FCC) lattice are signiï¬cantly superior to the traditionally popular Cartesian Cubic (CC) lattice. Motivated by the goal of high visual ï¬delity in the visualization community, this thesis investigates the relative perceptual merits of high quality reconstruction ï¬lters for CC, BCC, and FCC sampled data. We recruited 24 participants and gave them pairs of images to discriminate.
In the Euclidean plane, a Delaunay triangulation can be characterized by the requirement that the circumcircle of each triangle be empty of vertices of all other triangles. For triangulating a surface S in R^3, the Delaunay paradigm has typically been employed in the form of the restricted Delaunay triangulation, where the empty circumcircle property is defined by using the Euclidean metric in R^3 to measure distances on the surface. More recently, the intrinsic (geodesic) metric of S has also been employed to define the Delaunay condition.