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Wavelet-based image coding algorithms, that have become popular in recent years, use a fixed perfect reconstruction filter bank built into the algorithm for coding and decoding of all multimedia images. Initial results from our experiments conducted by compressing a variety of such images through wavelet filters and integer wavelet transforms suggest that the coding performance for both lossy and lossless schemes indeed is image dependent. It is also observed that no wavelet filter outperforms others uniformly while compressing such images. This experimental observation forces us to ask the question, for better coding why not match wavelet filters to images? So, we propose that to achieve better compression, the most "appropriate" wavelet filter should be chosen dynamically depending on the nature of the input image.