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We want to find a rotation and translation from <math>(x,y)</math> to <math>(x',y')</math> such that <math>I_1(x,y) = I_2(x', y')</math>.<br> | We want to find a rotation and translation from <math>(x,y)</math> to <math>(x',y')</math> such that <math>I_1(x,y) = I_2(x', y')</math>.<br> | ||
This is represented as:<br> | This is represented as:<br> | ||
\ | \( | ||
\begin{align} | \begin{align} | ||
x' &= a_1 x + a_2 y + a_3\\ | x' &= a_1 x + a_2 y + a_3\\ | ||
y' &= a_4 x + a_5 y + a_6 | y' &= a_4 x + a_5 y + a_6 | ||
\end{align} | \end{align} | ||
\ | \)<br> | ||
This can also be written as:<br> | This can also be written as:<br> | ||
<math> | <math> | ||
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\end{pmatrix} | \end{pmatrix} | ||
</math> | </math> | ||
==Log-Polar Transformation== | ==Log-Polar Transformation== | ||