Extracting natural scales using Fourier descriptors

Since contours often contain many different sized structures they need to be described at multiple scales. Rather than describe a contour at all scales it is more efficient to identify the most significant scales that best represent the structures present. These natural scales are determined by examining the Fourier descriptors of the contour and searching for significant bands. These correspond to bandwidths required to extract features at qualitatively significant resolution. Examples are given of using the determined scales in both low pass and high pass filters to eliminate fine and coarse detail.