Research Article
The Cauchy Problem for the Laplace Equation and Application to Image Inpainting
Table 1
The error in the reconstruction of and is evaluated with respect to the number of moments calculated .
| | | |
| 1 | 0.4999 | 2.4994 | 2 | 0.1812 | 0.9058 | 3 | 0.0758 | 0.3792 | 4 | 0.0152 | 0.0761 | 5 | 0.0043 | 0.030 | 6 | 0.0006 | 0.0213 | 7 | 0.0001 | 0.0006 | 8 | 0.0 | 0.0001 | 9 | 0.0 | 0.0 | 10 | 0.0 | 0.0 | 11 | 0.0 | 0.0 | 12 | 0.0 | 0.0 | 13 | 0.0 | 0.0 | 14 | 0.0001 | 0.0026 | 15 | 0.0001 | 0.0221 | 16 | 0.0002 | 0.042 | 17 | 0.0019 | 1.0638 | 18 | 0.0769 | 3.46 | 19 | 0.11 | 52.2134 | 20 | 3.0485 | 1423.61 |
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