Table 7.
Comparison of various algorithms for the PET imaging problem. A 4,096-pixel image is recovered from photon coincidence counts collected from 2,016 detector tubes. Here the roughness constant is μ = 10−6, and the convergence criterion is ε = 10−8. The number of parameters is 4,096
| Algorithm | Evals | Objective | Time |
|---|---|---|---|
| EM | 3376 | −15432.61 | 6836.05 |
| q = 1 | 740 | −15432.61 | 1743.55 |
| q = 2 | 608 | −15432.60 | 1432.38 |
| q = 3 | 406 | −15432.60 | 955.30 |
| q = 4 | 372 | −15432.57 | 875.51 |
| q = 5 | 268 | −15432.58 | 627.00 |
| q = 6 | 222 | −15432.57 | 520.97 |
| q = 7 | 204 | −15432.56 | 477.02 |
| q = 8 | 188 | −15432.54 | 441.48 |
| q = 9 | 178 | −15432.52 | 417.63 |
| q = 10 | 176 | −15432.51 | 411.20 |
| q = 15 | 184 | −15432.62 | 430.94 |
| q = 20 | 236 | −15432.45 | 559.32 |
| SqS1 | 314 | −15435.72 | 742.90 |
| SqS2 | 290 | −15432.54 | 684.79 |
| SqS3 | 232 | −15432.53 | 549.06 |