| Chinese Abstract | 第1-11页 |
| English Abstract | 第11-20页 |
| Contents | 第20-22页 |
| Text | 第22-204页 |
| Chapter 1 introduction | 第22-38页 |
| 1 Historical background and literature review | 第22-25页 |
| 2 Hausdorff measure and Hausdorff dimension | 第25-31页 |
| 3 Hausdorff distance and Iterated Function System | 第31-38页 |
| Chapter 2 Three Geometric Forms and fractal interpolation | 第38-64页 |
| 1 Geometric representation of function and fractal interpolation problem | 第38-44页 |
| 2 Local double Lipschitz transformation of polar coordinate and orthogonal coordinate | 第44-56页 |
| 3 Generalization of the properties of self-similarity and classification of self-similar set | 第56-64页 |
| Chapter 3 Affine IFS Fractal Interpolation | 第64-103页 |
| 1 Three kinds of fractal interpolation curve of affine IFS | 第64-70页 |
| 2 The dimension relation of affine fractal interpolation curves | 第70-76页 |
| 3 The range control of affine fractal interpolation curve | 第76-89页 |
| 4 Plotting examples of affine interpolation curve | 第89-103页 |
| Chapter 4 Holographic Fractal Interpolation | 第103-146页 |
| 1 Three kinds of fractal interpolation curve of holographic IFS | 第104-109页 |
| 2 The dimension relation of holographic fractal interpolation curves | 第109-112页 |
| 3 The range control of holographic fractal interpolation curve | 第112-117页 |
| 4 Plotting examples of holographic interpolation curve | 第117-146页 |
| Chapter 5 Intergraphic Practal Interpolation | 第146-204页 |
| 1 Three kinds of fractal interpolation curve of intergraphic IFS | 第147-157页 |
| 2 The dimension relation of holographic fractal interpolation curves | 第157-161页 |
| 3 The range control of intergraphic fractal interpolation curve | 第161-170页 |
| 4 Plotting examples of intergraphic interpolation curve | 第170-204页 |
| References | 第204-208页 |
| Aknowledgements | 第208页 |
