【摘要】 目前迭代函数系统中的变换多限于仿射变换,而仿射迭代函数系统对于区域的任意四边形不规则剖分情形是不能实现的。射影变换则有可能解决这一困难。论文对二维平面上区域进行不规则四边形剖分,构造了区域到子区域的射影变换。由二元分形插值函数引入第三维的值,构成射影迭代函数系统。利用此迭代函数系统构造了一类分形插值曲面,并做了若干数值实验。更多还原

【Abstract】 At present,the transform in IFS is limit to affine transform.However,affine IFS is unable to do anything with the anomalous dissection on discretionary quadrangle area.Project transform will be able to solve this difficulty.This paper dissects the quadrangle area on the plan irregularly and constructs project transforms from area to subareas.Then introduce the third dimension using of dualistic fractal interpolation,form a project IFS.Using this IFS we construct a kind of fractal interpolation surface,and make some experiment.更多还原