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This is the user sandbox of KCote. A user sandbox is a subpage of the user's user page. It serves as a testing spot and page development space for the user and is not an encyclopedia article. Create or edit your own sandbox here.

Other sandboxes: Main sandbox | Template sandbox

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Filter type	Kernel or mask	Example
Original Image	${\begin{bmatrix}0&0&0\\0&1&0\\0&0&0\end{bmatrix}}$
Mean filter	${\frac {1}{9}}\times {\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}}$
Laplacian	${\begin{bmatrix}0&-1&0\\-1&4&-1\\0&-1&0\end{bmatrix}}$
Fourier Representation	align="left"	MATLAB Script: img=checkerboard(size); F=fft2(img); F=fftshift(F); imshow(log(1+abs(F)))	File:Affine Transformation Rotated Checkerboard.jpg
Shear	${\begin{bmatrix}1&c_{x}=0.5&0\\c_{y}=0&1&0\\0&0&1\end{bmatrix}}$	File:Affine Transformation Shear Checkerboard.jpg

References

Berger, Marcel (1987), Geometry I, Berlin: Springer, ISBN 3-540-11658-3

@@ Line 44: / Line 44: @@
 | MATLAB Script:
-|img=checkerboard(size);
+img=checkerboard(size);
-|F=fft2(img);
+F=fft2(img);
-|F=fftshift(F);
+F=fftshift(F);
-|imshow(log(1+abs(F)))
+imshow(log(1+abs(F)))
 | [[File:Affine_Transformation_Rotated_Checkerboard.jpg]]