Computer Graphics Lecture Notes

Conventions and Notation
Vectors have an arrow over their variable name:~v . Points are denoted with a bar instead: ¯ p.
Matrices are represented by an uppercase letter.
When written with parentheses and commas separating elements, consider a vector to be a column
vector. That is,(x, y) =

x
y

. Row vectors are denoted with square braces and no commas:


x y

= (x, y)
T
=

x
y

T
.
The set of real numbers is represented byR. The real Euclidean plane is R
2
, and similarly Eu-clidean three-dimensional space isR
3
. The set of natural numbers (non-negative integers) is rep-resented byN.
There are some notable differences between the conventionsused in these notes and those found
in the course text. Here, coordinates of a point ¯ pare written asp
x
, p
y
, and so on, where the book
uses the notationx
p
, y
p
, etc. The same is tr