Binaural room responses are normally measured on a listening subject in a room. The measurements, however, rapidly change with the source and receiver position. In addition, the measurements taken in a room can only be used to simulate scenes of that environment. In this work, an efficient parameterization of the binaural room transfer function is proposed, which has separable representations for the direct-path component and the reverberation component, thus providing a flexible way to generate binaural room responses for different environments and listeners. In addition, this parameterization uses wave equation solutions as basis functions and is continuous in space.