Lines, Curves and Surfaces in 3D
Lines, Curves and Surfaces in 3D
Lines, Curves and Surfaces in 3D
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Homogeneous Coord<strong>in</strong>ates Example: 2D Rotation<br />
The transformation for a 2D rotation (angle of rotation θ is:<br />
( cos θ s<strong>in</strong> θ<br />
− s<strong>in</strong> θ cos θ<br />
)<br />
CM0268<br />
MATLAB<br />
DSP<br />
GRAPHICS<br />
550<br />
The correspond<strong>in</strong>g homogenous form is:<br />
⎛<br />
⎝<br />
cos θ s<strong>in</strong> θ 0<br />
− s<strong>in</strong> θ cos θ 0<br />
0 0 1<br />
⎞<br />
⎠<br />
1<br />
◭◭<br />
◮◮<br />
◭<br />
◮<br />
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