KANG yun1， FENG Zhigang1*, GUO Yanfang2
(1 Faculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu, China;2 Shanxi College of Applied Science and Technology, Taiyuan 030062, Shanxi, China)
Abstract:
A construction of recurrent fractal interpolation surfaces with polynomial is considered. According to the fractal interpolation method, for the given interpolation points, by constructing a proper iterated function system (IFS), a continuous interpolation function, whose graph is an invariant set of the IFS can be obtained. In accordance with the polynomial, iterated function system with constant scaling factors is posed. Then it can be proved that the invariant set of the (IFS) is the interpolation surfaces which passes through interpolation points. By changing the fractal vertical scaling factors, the size roughness of fractal interpolation surface can be regulated.
KeyWords:
recurrent iterated functions system(RIFS); fractal interpolation surfaces(FIS); bivariate continuous polynomial; invariant set
