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Thread: transformation with a rotation

  1. #1
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    transformation with a rotation

    with a two dimensional surface, if we take (2,1) as the center point and consider a transformation with a rotation angle of 45, the point (3,3) is transformed into point...
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  2. #2
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    Re: transformation with a rotation

    Start by translating the pivot point, $(2,1)$, to the origin, $(0,0)$, which in turn translates the point to be rotated, $(3,3)$, to $(1,2)$

    Rotation of the point $(x,y) = (1,2)$ about the origin may now be accomplished by the equations

    $x' = x\cos{\theta}-y\sin{\theta}$

    $y' = y\cos{\theta}+x\sin{\theta}$

    where $\theta = 45^\circ$

    Finish by translating $(x',y')$ back to its position relative to $(2,1)$
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  3. #3
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    Re: transformation with a rotation

    ok thanks
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