摘要
研究一类迭代函数系统和分形插值曲面的构造 ,得到分形插值曲面连续的充分必要条件 ;由此给出了简单的分形超限插值方法和新的网格点插值方法 ;从而利用网格曲线或网格点上的特征生成连续的分形插值曲面 .
A kind of fractal interpolation function defined by IFS with the translation function not using Lipschitz form is discussed. The theorem of sufficient and necessary condition for its continuity is proved. Meanwhile the methods to construct iterated function system that generates a continuous surface interpolating given curves or data on grid points are derived from these conditions. It can be used in data fitting and fractal modeling.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
2002年第4期316-319,共4页
Journal of Computer-Aided Design & Computer Graphics
基金
国家自然科学基金 ( 10 0 710 6 0 )
