A Morphing Method for Smooth Area Features Based on Fourier Transform

A Fourier transform based morphing of smooth area features is presented in this paper. For the two vector representations of the same feature on the source and destination scales, their shape descriptions of coordinate string on space domain are converted to the description by mathematical function on frequency domain based on Fourier transform. Then the function at intermediate scale is calculated by the weighted mixed on the source and destination function, and the shape in vector at intermediate scale is restructured by inverse Fourier transform. The experiments show that the Morphing method of smooth area feature can preserve the original area feature's geometry characteristics and get smooth and continuous multi-scale representations of vector polygon.