Transformations and the Matrix Operator
Abstract
The are a number of changes we would like to make on induvial objects.
These include translation, rotation and scaling.
There is a compact matrix notation that will allow us to constantly
do these operations.
Outline
We present the translation, scaling and rotation operations.
These are then described in a matrix notation.
Chains of these operations can then be used on objects.
Goals
To allow you to describe various changes in a world.
To understand how to specify a transformation matrix to a graphics program.
Objectives
You will be able to build a matrix to describe the needed operations,
and calculate the new point values.
You will be able to use chains of the operation to make changes in
a world.
Prerequest Background
You need to be able to deal with 2D and 3D coordinates.
You need some understanding of matrix notation and operations on matrices.
Content
This is nice because we only need the final matrix to describe the
full process.
something to fix
Posttest
Specify the chain of operators to rotate a square at (5,3) 45 degrees, in
place. Then convert this into a final matrix.