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A mathematical model of ultrasound signal propagation through cardiac muscle has been designed and applied to myocardial contrast images of the heart. The fundamental frequency component of the propagating signals serves in the model for attenuation estimation. These estimates are used to reduce the effect of tissue attenuation on the harmonic component of the received signals, which are used for ultrasound contrast perfusion imaging. A new parameter is introduced for automatic mapping and visualization of perfused and nonperfused myocardium and cardiac cavity in contrast echocardiographic images.