Study on Fractal Interpolation and Its Fractal Dimension by Graphic Method Solving

In the nature,many phenomena exists the fractal characteristic,it have certain difficulty to simulate the fractal characteristic nature shape for the traditional Euclid's space.Regarding this reason,may use the fractal interpolation to fit the nature shape.Using the discrete data point constructs fractal interpolation function by the Iterated Function System(IFS),it may prove that the fractal interpolation function is the IFS's sole attractor.It is difficult to solve the fractal dimension of fractal interpolation curve by the mathematical formula directly,with the MATLAB matrix operation and the graph plan function,Graphic method is used to solve the fractal dimension,accuracy can reach 0.01 to 0.001,thereby it may realize the fractal interpolation fitting through the discrete data points and solve the fractal dimension.The test result indicated that this algorithm has the simple and intuitive characteristic.