Laplace-Beltrami eigenfunction metrics and geodesic shape distance features for shape matching in synthetic aperture sonar

Assuming that a 1D curve is a representation of a manifold embedded in a 2D-space, the metrics of the eigenfunctions of the weighted graph-Laplacian and diffusion operator of that manifold are then a representation of the shape of that manifold with invariance to rotation, scale, and translation. In this work, we employ spectral metrics of the… CONTINUE READING