What are the advantages of wavelet transform for image multiresolution analysis? Compared to gaussian pyramid and laplacian pyramid, what are the advantages and disadvantages of wavelet decomposition for multiresolution image analysis? Thank you.
Given the concise aspect of your question at the present time, a short answer is: wavelets are able to provide a critically-decimated representation (or non-redundant) of images, even orthogonal or close to. This is beneficial for applications such as compression (criticality), and for theoretical derivations (orthogonality). This can be a drawback for other practical uses.