zbMATH — the first resource for mathematics

Solid modelling by using polyharmonic function of volume distribution. (Chinese. English summary) Zbl 0984.65011
Summary: This paper describes a method of solid modelling using the three-dimensional polyharmonic function of volume distribution. This method requires the arbitrary points or lines on the free-form surface of solid model. The free-form surfaces of solid model are searched, after solving the simultaneous linear algebraic equation. In this paper, the polyharmonic functions of volume distribution and their related functions are deduced. These functions effectively smooth the obtained surface, even if functions of low order are used. In order to investigate the efficiency of this method, several examples are given.
65D17 Computer-aided design (modeling of curves and surfaces)