Constructions And Applications Of Nonlinear Iterated Function System

The graph of traditional IFS carried on an simulation about the nature extremely well.This method has already accelarated the development of the Computer Graph Science.The method proposed a better way by which we can make a good understanding with nature and opened a new epoch.This method already is accepted by the mathematicians.In recent years, the mathematicians attempted to seek a kind of Nonlinear Iterated Function System,namely NIFS,serves as substitute traditional IFS. To quadrangle bilinear transform NIFS which proposed by Ed-uare Groller most has therepresentation.Eduare Groller based on quadrangle bilinear transform NIFS the square the free quadrangle carries on the iteration, further expansion the methods of fractal. This paper structure NIFS method according to the bilinear interpolation method which proposed by Eduare Groller.This paper expands this method,proposes the triangle mapping for curved triangle,and then produces a kind of more widespread fractal chart. The paper will give the concrete content of this method and the concrete example.