Compute the two-dimensional wavelet transform with respect to Haar wavelets of the 2 × 2 i...

Compute the two-dimensional wavelet transform with respect to Haar wavelets of the 2 × 2 image in Problem 7.9. Draw the required filter bank and label all inputs and outputs with the proper arrays.

7.9

(a) Compute the Haar transform of the 2 × 2 image

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(b) The inverse Haar transform is F = HTTH, where T is the Haar transform of Fand HT is the matrix inverse of H. Show that and use it to compute the inverse Haar transform of the result in (a).