Impulse responses of vibrating plates are classically measured on a fine spa- tial grid satisfying the Shannon-Nyquist spatial sampling criterion, and interpo- lated between measurement points. For homogeneous and isotropic plates, this study proposed a more efficient sampling and interpolation process, inspired by the recent paradigm of compressed sensing. Remarkably, this method can accomodate any star-convex shape and unspecified boundary conditions. Here, impulse responses are first decomposed as sums of damped sinusoids, using the Simultaneous Orthogonal Matching Pursuit algorithm. Finally, modes are in- terpolated using a plane wave decomposition. As a beneficial side effect, these algorithms can also be used to obtain the dispersion curve of the plate with a limited number of measurements. Experimental results are given for 3 different plates of different shapes and boundary conditions, and compared to classical Shannon interpolation.