A system and method includes applying, by a vibration source, periodic excitation waves to the volume of tissue, the periodic excitation wave having a plurality of phases, acquiring by the CT scanner a first plurality of CT projections at a first phase, the first plurality of CT projections comprising a first CT projection set, acquiring by the CT scanner a second plurality of CT projections at a second phase, wherein the second phase is different than the first phase a second set of CT projections, the second plurality of CT projections comprising a second CT projection set, and determining, based on the first set of CT projections and the second set of CT projections, at least one of a tissue deformation field and a tissue mechanical property of the volume of tissue.
