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Geometric Transformations II

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Kasun Ranga Wijeweera
Kasun Ranga Wijeweera

GT 2

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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. ( ) ( ) ( ) ( )

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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. ( ) ( ) ( ) ( )