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fixed compilation errors in TeX

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This commit is contained in:
Alexander Shishkov 2011-09-15 09:52:51 +00:00
parent d069396546
commit d174c3db04
1 changed files with 0 additions and 4 deletions
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modules/imgproc/doc/motion_analysis_and_object_tracking.rst
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@ -162,7 +162,6 @@ The function performs the following equations
* *
Next it computes the forward DFTs of each source array: Next it computes the forward DFTs of each source array:
.. math:: .. math::
\mathbf{G}_a = \mathcal{F}\{src_1\}, \; \mathbf{G}_b = \mathcal{F}\{src_2\} \mathbf{G}_a = \mathcal{F}\{src_1\}, \; \mathbf{G}_b = \mathcal{F}\{src_2\}
where where
@ -170,18 +169,15 @@ The function performs the following equations
* *
It then computes the cross-power spectrum of each frequency domain array: It then computes the cross-power spectrum of each frequency domain array:
.. math:: .. math::
R = \frac{ \mathbf{G}_a \mathbf{G}_b^*}{|\mathbf{G}_a \mathbf{G}_b^*|} R = \frac{ \mathbf{G}_a \mathbf{G}_b^*}{|\mathbf{G}_a \mathbf{G}_b^*|}
* *
Next the cross-correlation is converted back into the time domain via the inverse DFT: Next the cross-correlation is converted back into the time domain via the inverse DFT:
.. math:: .. math::
r = \mathcal{F}^{-1}\{R\} r = \mathcal{F}^{-1}\{R\}
* *
Finally, it computes the peak location and computes a 5x5 weighted centroid around the peak to achieve sub-pixel accuracy. Finally, it computes the peak location and computes a 5x5 weighted centroid around the peak to achieve sub-pixel accuracy.
.. math:: .. math::
(\Delta x, \Delta y) = \texttt{weighted_centroid}\{\arg \max_{(x, y)}\{r\}\} (\Delta x, \Delta y) = \texttt{weighted_centroid}\{\arg \max_{(x, y)}\{r\}\}