An affine transformation is a geometric transformation that preserves points, lines and planes. It satisfies the following conditions:
•Collinearity: Points which lie on a line before the transformation continue to lie on the line after the transformation.
•Parallelism: Parallel lines will continue to be parallel after the transformation.
•Convexity: A convex set will continue to be convex after the transformation.
•Ratios of parallel line segments: The ratio of the length of parallel line segments will continue to be the same after transformation.
In this chapter, we will discuss the common affine transformation such as translation, rotation and scaling. We will begin the discussion with the ...
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