Pairwise matching of 3D fragments using fast fourier transform

In this paper, we introduce a new method for pairwise matching of broken fragments from unorganized point clouds. We use a new descriptor that contains not only the cluster of feature points but also curves along the principal directions of the cluster. In our method, feature points are extracted by using the curvature values of points. Curves of the descriptor are approximated using Fourier series. The main idea is motivated by comparing descriptor curves between each cluster of matching faces. For comparing curves, the Fourier coefficients of each curve are computed by using Fast Fourier Transform and total energies of curves are compared.