Nadradený pojem:

A
space curve has a parametric form **x**(t)

A surface has a parametric form** s**(u,
v)

The derivative of a surface can be taken with respect to u and v. These derivatives can be used to find the tangent to the surface, which is a now a plane that grazes the surface at a given point.

The surface normal** n** is a
vector orthogonal to the tangent plane.

- This provides a mapping from one variable (t) to R3

A surface has a parametric form

- This provides a mapping from two variables (u, v) to R3

The derivative of a surface can be taken with respect to u and v. These derivatives can be used to find the tangent to the surface, which is a now a plane that grazes the surface at a given point.

The surface normal

High

Exercise:

- Task 1: draw the normals for the surfaces below
- Task 2: how might you specify or compute them?

Nadradený pojem: