Magnitude/Size Change Transformation

Given a magnitude, m, the size transformation will follow the following rule:
(note: m can be any number)

(x,y) -> (mx,my)

multiply the magnitude by both your x and y coordinates to get the new transformed image.

A magnitude/size transformation is a Non-Rigid transformation because the size changes shapes in the following ways:

1. The lengths between the pre-image and transformed image are multiplied by the magnitude.

2. The slopes between the sides of the pre-image are the same as the slopes between the corresponding transformed image sides.

3. The shapes are the same shapes just different size.

4. The area of the pre-image is multiplied by a factor of the magnitude squared to get the transformed image area size.

Please refer to the Master Worksheet 44 that was given in class for more information on this topic. Also, page 128 in your text, #4 a,c,d.