diff --git a/src/year1/image-processing-and-computer-vision/module1/sections/_local_features.tex b/src/year1/image-processing-and-computer-vision/module1/sections/_local_features.tex index e4877ad..35e23d3 100644 --- a/src/year1/image-processing-and-computer-vision/module1/sections/_local_features.tex +++ b/src/year1/image-processing-and-computer-vision/module1/sections/_local_features.tex @@ -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 assumes an infinitesimal shift $(\Delta x, \Delta y)$ of the image: \[ E(\Delta x, \Delta y) = \sum_{x, y} w(x, y) \big( I(x+\Delta x, y+\Delta y) - I(x, y) \big)^2 \] -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 $f(x + \Delta x) = f(x) + f'(x) \Delta x$, we can expand the intensity difference as: