体分布多重調和関数を用いた立体形状モデリング

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タイトル別名
  • Solid Modelling by using Polyharmonic Function of Volume Distribution.
  • タイ ブンプ タジュウ チョウワ カンスウ オ モチイタ リッタイ ケイジョウ モデリング

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抄録

This paper describes a method of solid modelling using the three-dimensional polyharmonic function of volume distribution. This method requires the arbitary points or lines on the free-form surface of solid model. The free-form surface is defined using algebra sum. The free-form surfaces of solid model are searched, after solving the simultaneous linear algebric 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.

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