| 一种非均匀插值移位分形曲面生成方法 |
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| 引用本文： | 莫灿林,谭建荣.一种非均匀插值移位分形曲面生成方法[J].工程图学学报,2002,23(2):97-104. |
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| 作者姓名： | 莫灿林 谭建荣 |
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| 作者单位： | 浙江大学CAD&CG国家重点实验室,杭州,310027 |
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| 基金项目： | 国家杰出青年科学基金资助项目(69425005)，浙江省自然科学基金资助项目(601020) |
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| 摘 要： | 提出了一种非均匀插值移位生成分形曲面的方法，在递归线性插值生成控制点的过程中，控制线性插值比系数的取值方式、对各插值方向选取不均等的插值比数值，使有序的插值离散点进行插值移位变成无序的插值离散点，由此，生成确定性的或随机性的分形曲面，算法中形成的插值移位量和控制点相关，使分形曲面的精细结构随控制点位置的改变而作相应地调整，增强了精细结构的可控性，给出的实例说明方法简明，易于实现。
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| 关 键 词： | 非均匀插值移位 分形曲面 分形图形 线性插值 随机曲面 虚拟现实 图像处理 |
| 文章编号： | 1003-0158(2002)02-0097-08 |
A Fractal Surface Generation Based on Nonuniform Interpolation Displacement |
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| MO Can-lin,TAN Jian-rong.A Fractal Surface Generation Based on Nonuniform Interpolation Displacement[J].Journal of Engineering Graphics,2002,23(2):97-104. |
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| Authors: | MO Can-lin TAN Jian-rong |
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| Abstract: | A new fractal surface generation based on nonuniform interpolation displacement is put forward. During the recursive linear interpolation of control points, the ratio coefficients are non-uniformly selected from different interpolation direction. Thus, the ordered discrete points are displaced into disordered ones, and the random fractal surface is generated. In this algorithm, the magnitude of displacement is relative to the control points, which enables the fractal surface to be adjusted automatically according to the change of control points. The examples given behind illustrated the simplicity and feasibility of this method. |
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| Keywords: | fractal surface recursion linear interpolation random surface |
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