分形/计算机图形学中的数学
外观
< 分形
"It can be argued that the mathematics behind these images is even prettier than the pictures themselves." Robert L. Devaney
"We choose to do mathematics, not because it is easy, but because it is hard." user "Haskell Curry " You don't need to be a mathematician to appreciate the impressive beauty of fractals, and many times intuition and curiosity are two of the more important ingredients that drive mathematical discovery. Víctor José García Garrido
"whereas mathemathical idea is a timless thing, few things are more ephemeral then computer hardware and software" Tristan Needham in Visual Complex Analysis
计算机图形学中的数学
- 数字
- 函数,映射,迭代函数
- 数值方法,精度,误差
- 揉捏序列
符号方法
计算- 群论
- 一个复变量中的多项式矢量场
- 从离散动力系统到连续动力系统
矢量场- 离散映射
- 差分方程
- 微分方程
动力系统- 计算拓扑学
- 计算几何 在许多其他研究领域都有直接应用,包括计算机图形学、网格生成、地理信息系统、VLSI 设计和机器人技术。