An improved method is proposed for revealing surface anomalies in structures by in situ relative measurement of acoustic energy absorption. Characterization and mapping of particular structures, such as plasters of antique mural paintings are taken into account as a possible application. In situ measurements of the acoustic energy absorption are carried out, employing a diagnostic technique based on the Cepstrum algorithm. Tests on samples with artificially prepared specimens, simulating surface anomalies, are described and a collection of acoustic images is presented. Properties of the specimens and features of the experimental technique are discussed.