Patent ID: 7330792

Claim:
An apparatus for reconstructing and displaying wave speed and attenuation described by an object function O from limited view ground penetrating radar measurements of a subterranean object with associated wavevector K, comprising: a ground penetrating radar device capable of acquiring said limited view ground penetrating radar measurements of said subterranean object; a processor that computes Fourier transformed measurements from said limited view ground penetrating radar measurements, determines a Fourier transformed object function Õ from said object function O, detennines an analytic relationship between said Fourier transformed object function Õ and said Fourier transformed measurements, analytically extends said Fourier transform Õ by specifying that Õ(K)=Õ(−K), and reconstructs said wave speed and attenuation by inverting said analytically extended Fourier transform of Õ; and an output device that displays said reconstructed wave speed and attenuation.