**Represent**-
points and vectors as matrices. In 2D,

**This is a Shorthand:**- Coordinates are
specified relative to a frame :
**Technically,**-
- Should write the as .
- The frame
*F*should note what space it's in.

**Usually,**- we're lazy and let ' ' denote both
- The point
- Its matrix representation relative to an understood frame.

**Transformations:**-
- is the frame of the domain,
- is the frame of the range.

- transforms to .
- Can also read this as .
- is said to be the
**matrix representation**of*T*relative to and .- First column of is representation of in .
- Second column of is representation of in .
- Third column of is representation of in .

CS488/688: Introduction to Interactive Computer Graphics

University of Waterloo

Computer Graphics Lab