Figure 2.
Examples of triangular meshes with varying number of faces used to model a unit cube a–c) and an ellipsoid d–f). Unit cube shaped triangular meshes containing varying number of faces were used to validate the implementation of the FT of a polyhedron against the gold standard of the FT of a 3D rect function. The magnified inset illustrates the small triangular faces comprising the mesh in c). Triangular meshes with varying number of faces d–f) were used to approximate the FT of an ellipsoid against the closed form FT. The grey shadows show cross sections of the mesh in the x=0, y=0 and z=0 planes. The magnified inset for the 79,600 face mesh illustrates dense triangles in the surface mesh.