COMPUTER GRAPHICS APPLICATIONS BASED ON COMPACTLY SUPPORTED RADIAL BASIS FUNCTIONS TOOLKIT (Nonlinear problems in industry, domain decomposition methods and numerical simulations)
Nikita Kojekine, Владимир Васильевич Савченко, Dmitrii Berzin, Ichiro Hagiwara · Kyoto University Research Information Repository (Kyoto University) · 2002
In this paper the use of compactly-supported radial basis $\mathrm{f}\mathrm{f}\mathrm{i}\mathrm{n}\alpha \mathrm{i}\mathrm{o}\mathrm{n}\mathrm{s}$ for surface reconstruction is described.To solve the problem of reconstruction or volume data generation specially designed software is employed.Time performance of the algorithm and numerical error estimation of the reconstruction are also investigated.Thanks to the efficient octree algorithm used in this study, the resulting matrix is aband diagonal matrix that reduces computational cost and permits handling large data sets.