1. Lecture 08: Coordinate Transformation II
Topics:
Planar coordinate transformation (2D to 2D)
1) Simple affine transformation
2) Complex affine transformation
References:
Chapter 6 in Noble and Daniel (Applied Linear Algebra,
1977), pp

2. Outlines 3. Planar map transformation (2D to 2D):
3.1 Simple Affine Transformations
3.1.1 Translation:
(The translation figure)
3.1.2 Scaling:
(The scaling figure)
3.1.3 Rotation:
(The rotation figure)
What about reflection?
(The mirroring figure)

3. 3.2 Complex Affine Transformations
3.2.1 Basic computation:
u = a+bx+cy (1)
v = d+ex+fy (2)
(The Equations and computation figure)
3.2.2 Discussion:
1) What if the relationship is not linear?
2) What if the three points are on a line?
(The complex affine spreadsheet figure)
3) What if the points contains errors?