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In this paper, we propose a new Q tomographic inversion approach using centroid frequency shift information. An adaptive correction is applied to the observed centroid frequency to account for any deviation from the explicit relationship through tabulating the absorption effect for different accumulated dissipation time. These adaptively corrected centroid frequency shift data will then be fed to reconstruct the attenuation distribution tomographically. We will demonstrate how our approach can accurately estimate Q model and can be included in the Q compensation process to fully account for attenuation and dispersion.