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hello

1a) 5 transformations necessary to reflect a two-dimensional object about the line connecting the points (-2.4, 2.4) and (-1.6, 0.4). >> G=[-2.4 2.4 0; -1.6 0.4 0; 0 0 1] G = -2.4000 2.4000 0 -1.6000 0.4000 0 0 0 1.0000 First move the line to the origin therefore make the point (-1.6, 0.4) to (0, 0) to do this the matrix needs multiplying by: >> H=[1 0 0; 0 1 0; 1.6 -0.4 1] H = 1.0000 0 0 0 1.0000 0 1.6000 -0.4000 1.0000 >> G*H ans = -0.8000 2.0000 1.0000 0 0 1.0000 1.6000 -0.4000 1.0000 See subplot Secondly rotate the line towards the x axis by calculating the angle between the line and x axis and using the matrix; where equals >> J=[cos(1.19) sin(1.19) 0; -sin(1.19) cos(1.19) 0; 0 0 1] J = 0.3717 0.9284 0 -0.9284 0.3717 0 0 0 1.0000 See subplot Next reflect the object in the x axis by multiplying by R=[1 0 0;0 -1 0;0 0 1] R = 1 0 0 0 -1 0 0 0 1 See subplot The fourth and fifth steps are the inverse of the second and first step respectively.

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Paper Information

Title: hello

Words: 293
Rating: None
Pages: 1.2
submitted by: frankiesmith

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