计算机辅助几何设计
2017.09-2018.01

This course provides an introduction to computer-aided geometric design, which deals with the mathematical description of shape for use in computer graphics, numerical analysis, approximation theory, data structures, and computer algebra. Most concepts are fairly easy to grasp, others much harder. The concepts include basic geometric primitives, Bezier curves and surfaces, power and Bernstein polynomials, B-splines/NURBS, algebraic geometry, free-form deformation, subdivision, interpolation, approximation, surface intersection etal.

 

Instructor:

Xin Li

Textbook and References
教材:Computer Aided Geometric Design
Farin

参考书目:

•信号处理的小波导引——稀疏方法
•小波十讲
•Ripples in Mathematics-----The discrete wavelet transform

 

Course Material:

Introduction to the course

绪论

傅里叶级数和傅里叶变换

离散傅里叶变换

从傅里叶分析到小波分析

小波变换

多分辨分析基础

局部支撑正交小波的构造

小波包

大作业介绍