Geometric Transformations II
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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.
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Geometric Transformations II
- 1. Computer Graphics 1 of 1 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. ( ) ( ) ( ) ( ( ) ( ) ) Transformation Matrix for General Pivot Point Rotation Let (x1, y1) be the coordinates of the pivot point. ( ) ( ) ( ) ( )