Fractal Geometry and Study on Fractal Interpolation

From a strange case in Euclidean space, the concept of fractal geometry and general fractal exam-ples in nature are introduced. On the theory of iterated function system, the principle and calculate formula of fractal interpolation curve are given and the mathematical model of fractal interpolation surface on rectangle fi-eld is studied. Based on the measured data on a rock fracture surface, the rock fracture roughness surfaces are simulated.