This document discusses 2D geometric transformations, including composite transformations where multiple transformations are applied sequentially as Pn = Tn...T2T1, and transformation matrices for general pivot point scaling and rotation. Scaling and rotation transformations are defined using matrices where the pivot point (x1, y1) is specified. Composite transformations allow multiple basic transformations to be combined into a single net transformation T.

1. Computer Graphics
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Lesson 5: 2D Geometric Transformations II
Author: Kasun Ranga Wijeweera
Email: krw19870829@gmail.com
Date: 2020 August 20
Composite Transformation
P1 = T1P, P2 = T2P1,…, Pn = Tn Pn – 1 Pn = TP; T = Tn…T2T1.
Transformation Matrix for General Pivot Point Scaling
Let (x1, y1) be the coordinates of the pivot point.
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Transformation Matrix for General Pivot Point Rotation
Let (x1, y1) be the coordinates of the pivot point.
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