一类多参数递归分形插值曲面

牛亚群; 魏毅强

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一类多参数递归分形插值曲面

更新时间：2026-09-14

- 一类多参数递归分形插值曲面
- 一类多参数递归分形插值曲面
- Issue 1, (2012)
- 作者机构：
  
  太原理工大学数学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2012
- 稿件说明：
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牛亚群, 魏毅强. 一类多参数递归分形插值曲面[J]. 2012, (1).
DOI：

牛亚群, 魏毅强. 一类多参数递归分形插值曲面[J]. 2012, (1). DOI：

摘要

给出了三维空间上的递归迭代函数系

进而由该递归迭代函数系构造了一类多参数递归分形插值曲面.与由传统的迭代函数系所构造的自仿射分形插值曲面相比

这种曲面在模拟自然界不规则物体形状和压缩成像方面具有更灵活的应用.在一定的条件下

证明了这类递归迭代函数系的吸引子是经过给定插值点集的连续的分形插值曲面.

Abstract

Recurrent iterated function systems in the three-dimensional space were introduced

from which

a class of recurrent fractal interpolation surfaces with multi-parameters were constructed.These surfaces

compared with self-affine fractal interpolation surfaces being constructed by the traditional iteration function system

can be more flexibly applied in simulating irregular object shape and image compression.It is proved that

under certain conditions

the class of recurrent iteration function system attractors are continuous curved surfaces passing through the given interpolation points.

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