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The errors in estimating the reflections and rotations when aligning the N =200 patches resulting from for the UNITCUBE graph on n =212 vertices, at various levels of noise. We used τ to denote the percentage of patches whose reflection was incorrectly estimated
|
O(3) |
ℤ2 and SO(3) |
|||
|---|---|---|---|---|
| η (%) | τ (%) | MSE | τ (%) | MSE |
| 0 | 0 | 6e−4 | 0 | 7e−4 |
| 10 | 0 | 0.01 | 0 | 0.01 |
| 20 | 0 | 0.05 | 0 | 0.05 |
| 30 | 5.8 | 0.35 | 5.3 | 0.32 |
| 40 | 4 | 0.36 | 5 | 0.40 |
| 50 | 7.4 | 0.65 | 9 | 0.68 |
