运城学院：《微分几何 Differential Geometry》课程教学资源（教学大纲）

复旦大学：《张量分析与微分几何基础 Fundamentals of Tensor Analysis and Differential Geometry》教学大纲（2013年）

复旦大学：《张量分析与微分几何基础 Fundamentals of Tensor Analysis and Differential Geometry》教学大纲（2011年）

中国科学技术大学：《数字几何处理 Digital Geometry Processing》课程教学资源（课件讲义）02 Discrete differential geometry

13 Offsets of Parametric Curves and Surfaces 13.1 Motivation.... 13.2 Parametric offset curves ........... 13.2.1 Differential geometry of parametric offset curves 22556 13.2.2 Singularities of parametric offset curves 13.2.3 Approximations

Lecture 2 Differential geometry of curves 2.1 Definition of curves 2.1.1 Plane curves Implicit curves f(, y)=0 Example:x2+y2=a2 It is difficult to trace implicit curves It is easy to check if a point lies on the curve Multi-valued and closed curves can be represented

Lecture 3 Differential geometry of surfaces 3.1 Definition of surfaces Implicit surfaces F(r,,a)=0 Example: 22+6+2=1 Ellipsoid, see Figure 3.1 Figure 3.1: Ellipsoid · Explicit surfaces If the implicit equation F(, y, a)=0 can be solved for one of the variables as a function