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. 2024 May 24;24(11):3380. doi: 10.3390/s24113380
Algorithm 1 Algorithm flow of LF reconstruction.
  • Input: Voltage measurement: ΔU; Sensitivity matrix: S; Regularization parameter: λ; Proportion of anomaly area p.

  • Output: Conductivity Set: Δσ˜.

  • Begin

      Step 1: Reconstruct the initial Δσ˜ using Equation (6);

      Step 2: Estimate the binary distribution of Layer 1 Δσ˜1 by Equation (10);

      Step 3: Estimate the voltage change in Layer 1 ΔU˜1 by Equations (13), (14) and (16);

      Step 4: Calculate the voltage change in Layer 2 ΔU˜2 by Equation (12);

      Step 5: Reconstruct the conductivity distribution of Layer 2 Δσ˜2 by Equation (6), and sharpen Δσ˜2 according to existing conditions:

              if p is known then

                    Filter the distribution by Equation (18)

              else

                    Filter the distribution by Equation (17)

              end if

      Step 6: Fusion multiple layers Δσ˜1 and Δσ˜2 by Equations (19),  (24) and (25).

  • End