Ar. Skovoroda et al., NONLINEAR ESTIMATION OF THE LATERAL DISPLACEMENT USING TISSUE INCOMPRESSIBILITY, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 45(2), 1998, pp. 491-503
Using the incompressibility property of soft tissue, high quality late
ral displacement distributions can be reconstructed from accurate axia
l displacement measurements and noisy lateral displacement estimates.
Previous methods appropriate for small deformations have been extended
for high magnitude deformations requiring a nonlinear model. Problems
arising in incompressibility processing for large deformations are co
nsidered. Applications of nonlinear incompressibility methods to ultra
sonic measurements on gel-based, tissue equivalent phantoms are given.
Lateral displacement images reconstructed with nonlinear methods are
compared to those reconstructed with linear methods for both small and
large deformations.