2d-transformations_exercise

2d-transformations_exercise - 2D TRANSFORMATIONS Exercises...

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Unformatted text preview: 2D TRANSFORMATIONS Exercises Solved Problems #01 Write the homogenous matrix representation for a transformation that rotate an object point about the origin. - = 1 cos sin sin cos R Solved Problems #02 Using 2D Homogenous Coordinate, Find the matrix that represents rotation of an object by 30 about the origin. What are the new coordinate of the point, P(2, -4) after the rotation? Solved Problems #02-a - = - = 1 2 3 2 1 2 1 2 3 1 30 cos 30 sin 30 sin 30 cos 30 R Solved Problems #02-b - - = = 1 4 2 1 30 cos 30 sin 30 sin 30 cos 1 ' ' ' ) , ( 30 y x P R P y x Solved Problems #02-b ) 3 2 1 , 2 3 ( ' 1 3 2 1 2 3 1 4 2 1 2 3 2 1 2 1 2 3 1 ' '- + =...
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This note was uploaded on 04/05/2010 for the course COMPUTER S 876 taught by Professor Ch during the Spring '10 term at Amirkabir University of Technology.

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2d-transformations_exercise - 2D TRANSFORMATIONS Exercises...

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