Generation of fractal curves and surfaces using ternary 4-point interpolatory subdivision scheme
Generation of fractal curves and surfaces using ternary 4-point interpolatory subdivision scheme
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DOI：
10.1016/j.amc.2014.07.078
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发表时间：
2014-11
期刊：
影响因子：
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通讯作者：
Shahid S. Siddiqi;Usama Idrees;Kashif Rehan
中科院分区：
文献类型：
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作者：
Shahid S. Siddiqi;Usama Idrees;Kashif Rehan
本文分析了用单参数三值四点插值细分法生成分形曲线曲面的沿着的性质。通过不同的实例，论证了张力参数与极限曲线分形行为的关系。给出了张力参数的具体取值范围，为分形曲线的生成提供了清晰的思路。由于分形方案的引入，在本文中，有更多的控制点，因此它给了更多的自由度来控制分形曲线的形状。
In this paper, the generation of fractal curves and surfaces along with their properties, using ternary 4-point interpolatory subdivision scheme with one parameter, are analyzed. The relationship between the tension parameter and the fractal behavior of the limiting curve is demonstrated through different examples. The specific range of the tension parameter has also been depicted, which provides a clear way to generate fractal curves. Since the fractal scheme introduces, in the paper, have more number of control points therefore it gives more degree of freedom to control the shape of the fractal curve.