Automatically building of multi-scale representation model based on the same data source has been the focus in the field of map generalization. This paper extracts characteristic vector of contour based on Fourier series, and provides a model of multi-scale representation of contour. Open contours are mirrored into close contours according to the line including the start and end point, then the close contours are expressed into periodical functions about the length of arc and further Fourier series. Building the matching relationship between Fourier series expanding items and contour map scale...