Smooth fractal surfaces derived from bicubic rational fractal interpolation functions

• 来源期刊: 中国科学（信息科学）
• 年，卷（期）: 2018,（9）
• 页码范围: 280-282
• 页数: 3页
• 语种: 中文

摘要

Dear editor, Fractal geometry is an important and active branch of nonlinear science.It has attracted more and more attention [1,2].As an important research field of fractal geometry,fractal interpolation was first introduced by Barnsley using a certain Iterated Function System (IFS).Then it was extended to enable interpolation of fractal surfaces and three dimensional objects [3,4].Fractal interpolation technique,which provides a good deterministic representation of complex phenomena,has become a powerful tool for dealing with the irregular data.It is widely used in natural scenery simulation,security analysis,image processing and so on.Meanwhile,fractal interpolation is fused with other methods,such as wavelet [5].