2024-03-28T23:21:34Z
https://niigata-u.repo.nii.ac.jp/oai
oai:niigata-u.repo.nii.ac.jp:00001678
2022-12-15T03:34:24Z
453:454
468:469:470
Application of Voronoi Tessellation of Spherical Surface to Geometrical Models of Skeleton Forms of Spherical Radiolaria
Application of Voronoi Tessellation of Spherical Surface to Geometrical Models of Skeleton Forms of Spherical Radiolaria
Yoshino, Takashi
4953
Matsuoka, Atsushi
4954
Kurihara, Toshiyuki
4955
Ishida, Naoto
4956
Kishimoto, Naoko
4957
Kimoto, Katsunori
4958
Matsuura, Shu
4959
Spherical Radiolaria
Voronoi Tessellation
Geometrical Model
Skeleton Form
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.
journal article
Society for Science on Form
2012-12
application/pdf
Forma
27
45
53
Forma
AA11297304
09116036
https://niigata-u.repo.nii.ac.jp/record/1678/files/27_45-53.pdf
eng