| 基于函数迭代系统的3-D分形插值算法 |
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| 引用本文： | 王梦,金文标.基于函数迭代系统的3-D分形插值算法[J].计算机应用,2006,26(11):2701-2703. |
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| 作者姓名： | 王梦 金文标 |
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| 作者单位： | 重庆邮电大学,计算机图形图像研究所,重庆,400065 |
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| 摘 要： | 提出了一种新的分形插值算法，通过矩形剖分上的采样数据点构建分形插值曲面。该算法保证分形插值时的边界连续性，而且对于初始数据集没有任何对称性限制。所构建的分形插值曲面整体上保持原始数据的主要特征，局部上具备自相似的特点。实验结果表明算法的有效性和低时间复杂度，有利于分形插值的实际应用。
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| 关 键 词： | 分形插值 迭代函数系统 矩形剖分 对称性 |
| 文章编号： | 1001-9081（2006）11-2701-03 |
| 收稿时间： | 2006-05-18 |
| 修稿时间： | 2006-05-182006-08-22 |
A 3-D fractal interpolation algorithm based on iterated function system |
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| WANG Meng,JIN Wen-biao.A 3-D fractal interpolation algorithm based on iterated function system[J].journal of Computer Applications,2006,26(11):2701-2703. |
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| Authors: | WANG Meng JIN Wen-biao |
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| Affiliation: | Institute of Computer Graphics and Image Processing, Chongqing University of Posts and Telecommunications, Chongqing 400065, China |
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| Abstract: | A new method was proposed for constructing fractal interpolation surfaces through points sampled on rectangular lattices. The proposed algorithm guaranteed the boundary continuity and canceled symmetry restriction on the initial data set. The constructed surface inherited the main features from the original data set as a whole and kept the self-similar trait of fractal in part. Experiment results show that the method is useful for three-dimensional (3D) fractal interpolation. |
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| Keywords: | fractal interpolation iterated function system(IFS) rectangular lattice symmetry |
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