Nonlinear Elasto-Mammography for Characterization of Breast Tissue Properties

Table 1

Initial guess and nonlinear elasto-mammography reconstruction results of the fatty tissue, glandular tissue, and tumor in a 3D breast. The reconstructions are based on ideal mammography measurement, mammography measurement with ±5% and ±10% random noise, respectively. (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
Reconstruction	35.00	12.50	0.40	50.00	25.00	0.25	79.83	34.93	1.51
5% Noise (I)
Reconstruction	32.95	11.76	0.44	51.82	26.15	0.23	77.12	31.10	1.69
5% Noise (II)
Reconstruction	34.82	12.35	0.41	51.62	26.10	0.23	66.14	29.57	1.88
5% Noise (III)
Reconstruction	35.9	12.69	0.39	49.67	25.08	0.25	83.75	37.27	1.40
10% Noise (I)
Reconstruction	35.14	12.68	0.40	48.87	24.40	0.26	107.59	35.56	1.41
10% Noise (II)
Reconstruction	31.89	11.69	0.46	52.17	25.39	0.24	90.29	31.01	1.69
10% Noise (III)
Reconstruction	36.75	12.89	0.37	48.30	24.54	0.26	107.20	48.89	0.92