@article{oai:niigata-u.repo.nii.ac.jp:00001678, author = {Yoshino, Takashi and Matsuoka, Atsushi and Kurihara, Toshiyuki and Ishida, Naoto and Kishimoto, Naoko and Kimoto, Katsunori and Matsuura, Shu}, journal = {Forma, Forma}, month = {Dec}, note = {We investigated two geometrical models of skeleton forms of spherical radiolaria. Both models are based on Voronoi tessellation of given points on a sphere. We allocate a given number of points called “generators”, which can be related to pore frames, and obtained their Voronoi tessellation and approximated polyhedron. The first model is based on random allocation of generators, and the second one is based on global minimization of a potential function whose value is calculated from a generator distribution. Depending on the types of these generator distributions, we obtained different types of approximated polyhedrons. Using these polyhedrons, we analyzed the frequency distributions of the number of vertices of the polygons and the total edge lengths. We then compared the polyhedrons derived by the tessellation with real radiolaria. A comparison of frequency distributions revealed that the first model is not sufficient for mesh-like radiolaria. However, the second model had similar distribution to that of another type of spherical radiolaria which has almost regular structure. Under the condition of same number of generators, the second model produces approximately 6 percent smaller total edge length than the first model.}, pages = {45--53}, title = {Application of Voronoi Tessellation of Spherical Surface to Geometrical Models of Skeleton Forms of Spherical Radiolaria}, volume = {27}, year = {2012} }