In the Fourier domainand translation does not affect the display of | F(µ, υ) |. Using the...

In the Fourier domain

and translation does not affect the display of | F(µ, υ) |. Using the following sequence of images, explain the translation property of wavelet transforms. The leftmost image contains two 32 × 32 white squares centered on a 128 × 128 gray background. The second image (from the left) is its single-scale wavelet transform with respect to Haar wavelets. The third is the wavelet transform of the original image after shifting it 32 pixels to the right and downward, and the final (rightmost) image is the wavelet transform of the original image after it has been shifted one pixel to the right and downward.