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三角剖分上的仿射迭代函数系统分形插值曲面
Fractal Interpolation Surface of Affine IFS Based on Dissection of Triangle
【摘要】 对二维平面上三角形区域进行三角剖分,构造仿射变换,由二元分形插值函数引入第三维的值,构成迭代函数系统(IFS).利用此IFS构造了一类山状分形插值曲面.通过数值实验对比分析表明:它比人们以往用矩形剖分得出的分形图形效果更逼真,更接近于自然.
【Abstract】 Dissect the triangle area on the plane,construct affine transform.Then introduce the third dimension using of dualistic fractal interpolation,form an IFS.And using this IFS we simulates a kind of fractal interpolation surface which look like mountains.Compared to the mountain that was gained by the dissection of rectangle ago,the experiment prove that it seems truer,more near to the nature.
【关键词】 分形;
插值曲面;
迭代函数系统;
三角剖分;
【Key words】 Fractal; Interpolation surface; IFS; dissection of triangle;
【Key words】 Fractal; Interpolation surface; IFS; dissection of triangle;
【基金】 国家自然科学基金项目(60672135);西北工业大学研究生创业种子基金(Z200656)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2007年18期
- 【分类号】TP391.41
- 【被引频次】5
- 【下载频次】155