In this paper, one of the peculiar applications of the Boundary Integral — Resonant Mode Expansion (BI-RME) method, namely shape analysis and recognition, is reviewed. We explore the advantages for shape analysis and recognition of a BI-RME based modal matching algorithm, where each shape is represented by means of a set of eigenfunctions, solutions of the Helmotz equation with Dirichlet boundary condition. These solutions correspond to the vibration modes of an elastic sheet when its boundary is considered as fixed.