analyzing the data of galaxies in different scales using wavelet transform

One of the methods used to analyze the data obtained from a galaxy is to examine them in different scales. the data usually consists of many different wavelengths, and analyzing the structures of the same size in these images can be insanely insightful. fortunately, a potent mathematical tool called wavelet exists for this exact purpose. using wavelet analysis, we can decompose an image into structures of different scales, called the wavelet coefficients. further investigations can be accomplished using wavelet spectrum and scale cross-correlations, which help us understand the energy distribution in scales. in this paper, we utilize the methods of wavelet scale analysis on the data from the galaxies m74 and ddo 69 to extract valuable information from them.