Elastography Method for Reconstruction of Nonlinear Breast Tissue Properties

Table 1

Initial estimate and reconstructed results for nonlinear elastogrpahy. The results in the first part are based on ideal input (without noise). The ones in the second part are based on input with 5% noise and regularization is not used. The third part is based on input with 5% noise and regularization is applied to reduce the impact of noise. (𝜆 and 𝜇 are dimensionless, 𝛾 is in kPa.)

	Fatty			Glandular			Tumor
	𝜆𝑓	𝜇𝑓	𝛾𝑓	𝜆𝑔	𝜇𝑔	𝛾𝑔	𝜆𝑑	𝜇𝑑	𝛾𝑑
Real	35	12.5	0.4	50	25	0.25	80	35	1.5
Guess	20	10	1	20	10	1	20	10	1
Ideal input
Recon	34.9988	12.5004	0.3999	50.0512	24.9998	0.2498	81.5331	34.9423	1.5003
5% Noise, without regularization
Recon	22.2753	8.4147	1.5038	56.1970	21.5414	0.2509	0.0001	41.5562	2.0010
5% Noise, with exponential form regularization
Recon	37.56290	12.48318	0.4592	50.0014	25.0042	0.2444	80.0002	39.1539	1.5020