Numerical Fitting of Planar Photographic Images with Spherical Voronoi Diagrams  

作　　者：CHAIDEE Supanut SUGIHARA Kokichi 

机构地区：[1]Graduate School of Advanced Mathematical Sciences, Meiji University

出　　处：《Computer Aided Drafting,Design and Manufacturing》2015年第4期26-31,共6页计算机辅助绘图设计与制造（英文版）

基　　金：Partly Supported by the Grant-in-Aid for Basic Research of MEXT(No.24360039)

摘　　要：There are many phenomena that generate polygonal tessellations on surfaces of 3D objects. One interesting example is the jackfruit, a multiple fruit found in the tropics. A recent study found the best-fit spherical Voronoi diagram from a photo of jackfruit skin, but the optimization was relative to the radius of the sphere and the height of the spikes. In this study, we propose a method for adjusting the position of the center of the sphere in addition to these parameters. Experiments were conducted using both ideal and real data. However, convergence with real data has not been confirmed due to relaxation of the convergence condition.There are many phenomena that generate polygonal tessellations on surfaces of 3D objects. One interesting example is the jackfruit, a multiple fruit found in the tropics. A recent study found the best-fit spherical Voronoi diagram from a photo of jackfruit skin, but the optimization was relative to the radius of the sphere and the height of the spikes. In this study, we propose a method for adjusting the position of the center of the sphere in addition to these parameters. Experiments were conducted using both ideal and real data. However, convergence with real data has not been confirmed due to relaxation of the convergence condition.

关 键 词：spherical voronoi diagram jackfruit discrepancy circular search method of steepest descent 

分 类 号：O157.5[理学—数学]