文档介绍：1 ? Regular objects ’ representation: Euclidean-geometry methods. ? Irregular objects ’ representation: Fractal-geometry methods. Review :2 Chapter 8 Fractal Geometry 分形几何 3 what are fractals ? some pictures and animation films 4 ? Definitions of fractals ? 1. (In 1982) A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension. 强调维数不是整数,是分数,又称分数维 5 ? Koch curve similarity dimension is 678 ? middle third Cantor set similarity dimension: 9 ? Sierpinski triangle similarity dimension : 10