INTERPOLATION of TETRAHEDRA into a CLOUD of POINTS
Clouds of points loaded with numerical attributes can be analyzed by interpolating a set of optimally shaped tetrahedra. Our algorithm uses all the points in the cloud and creates tetrahedra that, without penetrating each other, fully pack the convex polyhedron that wraps them. Our software include options for sectioning the mesh into triangulations and contouring them. Aso for displaying those products in a variety of styles, including stereo pairs.
A complete example is featured in the images below. Figures 1 to Fig. 4 are stereo pairs, so seen through a stereoscope they would appear as three-dimensional objects suspended in space. Figures 1 and 2 depict the cloud of points inside a cube and the tetrahedra mesh. Figures 3 and 4 show two parallel cross sections, with the orthographic views of the resulting triangulations in Figures 5 and 6. Figures 7 and 8 are the corresponding contours on the cross sections. The numerical attributes assigned to the points were selected at random.