Research Article

A Finite Element Mesh Aggregating Approach to Multiple-Source Reconstruction in Bioluminescence Tomography

Table 2

Reconstruction results in double-source case.

CasePower ratioReconstruction methodReconstructed center and location error (mm) Reconstructed power (nW)
𝑆 𝑅 1 𝑆 𝑅 2 𝑆 𝑅 1 𝑆 𝑅 2

I1 : 1Tikhonov + GTSβˆ’8.95, 2.13, 14.831.39 βˆ’ 8 . 9 8 , βˆ’ 3 . 5 7 , 1 4 . 7 3 0.280.650.28
Tikhonov + MSDSβˆ’8.85, 3.59, 15.140.22 βˆ’ 8 . 9 8 , βˆ’ 3 . 5 7 , 1 4 . 7 3 0.280.350.28
l1–ls + GTSβˆ’8.99, 2.92, 14.770.62 βˆ’ 8 . 9 8 , βˆ’ 3 . 5 7 , 1 4 . 7 3 0.280.5020.44
l1–ls + MSDSβˆ’8.85, 3.59, 15.140.22 βˆ’ 8 . 9 8 , βˆ’ 3 . 5 7 , 1 4 . 7 3 0.280.410.44

II2 : 1Tikhonov + GTSβˆ’9.03, 2.69, 14.650.88 βˆ’ 8 . 9 8 , βˆ’ 3 . 5 7 , 1 4 . 7 3 0.280.480.15
Tikhonov + MSDSβˆ’8.85, 3.59, 15.140.22 βˆ’ 8 . 9 8 , βˆ’ 3 . 5 7 , 1 4 . 7 3 0.280.370.14
l1–ls + GTSβˆ’8.98, 2.98, 14.810.56 βˆ’ 8 . 9 8 , βˆ’ 3 . 5 7 , 1 4 . 7 3 0.280.510.22
l1–ls + MSDSβˆ’8.85, 3.59, 15.140.22 βˆ’ 8 . 9 8 , βˆ’ 3 . 5 7 , 1 4 . 7 3 0.280.430.22

III4 : 1Tikhonov + GTSβˆ’9.03, 2.72, 14.660.85N/AN/A0.490
Tikhonov + MSDSβˆ’8.85, 3.59, 15.140.22 βˆ’ 8 . 9 8 , βˆ’ 3 . 5 7 , 1 4 . 7 3 0.280.380.07
l1–ls + GTSβˆ’8.97, 3.00, 14.820.53N/AN/A0.510
l1–ls + MSDSβˆ’8.85, 3.59, 15.140.22βˆ’8.98, βˆ’3.57, 14.730.280.43390.10

IV8 : 1Tikhonov + GTSβˆ’9.03, 2.73, 14.670.84N/AN/A0.490
Tikhonov + MSDSβˆ’8.85, 3.59, 15.140.22 βˆ’ 8 . 9 8 , βˆ’ 3 . 5 7 , 1 4 . 7 3 0.280.380.03
l1–ls + GTSβˆ’8.97, 3.02, 14.830.51N/AN/A0.510
l1–ls + MSDSβˆ’8.85, 3.59, 15.140.22 βˆ’ 8 . 9 8 , βˆ’ 3 . 5 7 , 1 4 . 7 3 0.280.430.04