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Fix typo <noupdate>

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Tian Cheng (Riccardo) Xia
2024-06-17 13:58:05 +02:00
parent 329a2a736c
commit 4d37759de8
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src/year1/image-processing-and-computer-vision/module1/sections/_local_features.tex
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@ -93,7 +93,7 @@ After computing the cornerness of each pixel, one can apply thresholding and the
Harris' corner detector uses an error function formulated as the continuous version of Moravec's detector and Harris' corner detector uses an error function formulated as the continuous version of Moravec's detector and
assumes an infinitesimal shift $(\Delta x, \Delta y)$ of the image: assumes an infinitesimal shift $(\Delta x, \Delta y)$ of the image:
\[ E(\Delta x, \Delta y) = \sum_{x, y} w(x, y) \big( I(x+\Delta x, y+\Delta y) - I(x, y) \big)^2 \] \[ E(\Delta x, \Delta y) = \sum_{x, y} w(x, y) \big( I(x+\Delta x, y+\Delta y) - I(x, y) \big)^2 \]
where $w(x, y)$ in a window centered on $(x, y)$ and can be seen as a mask with $1$ when the pixel belongs to the window and $0$ otherwise. where $w(x, y)$ represents a window and can be seen as a mask with $1$ when the pixel belongs to the window and $0$ otherwise.
By employing the Taylor's series $f(x + \Delta x) = f(x) + f'(x) \Delta x$, By employing the Taylor's series $f(x + \Delta x) = f(x) + f'(x) \Delta x$,
we can expand the intensity difference as: we can expand the intensity difference as: