Table 2.
Statistics for bicubic Hermite left atrial (LA) and right atrial (RA) surface meshes after geometric optimization. Mesh quality metrics were evaluated at 9 quadrature points per element.
| LA-103 | LA-142 | LA-412 | LA-568 | RA-90 | |
|---|---|---|---|---|---|
| Vertices, total | 116 | 155 | 441 | 597 | 103 |
| Geometric d.o.f. per coordinate | 464 | 620 | 1764 | 2388 | 412 |
| Geometric d.o.f. per coordinate, LAA | 68 | 224 | 228 | 852 | - |
| Vertices, valence 3 | 8 | 13 | 8 | 13 | 4 |
| Vertices, valence 5 | 20 | 25 | 20 | 25 | 10 |
| Vertices, valence 6 | 0 | 0 | 0 | 0 | 1 |
| Topology regions | 17 | 20 | 17 | 20 | 11 |
| Mean edge length, mm | 12.9 | 10.8 | 6.4 | 5.3 | 14.3 |
| RMS error, mm | 0.6 | 0.6 | 0.5 | 0.5 | 0.6 |
| RMS error, LAA, mm | 1.0 | 0.6 | 0.9 | 0.5 | - |
| Scaled Jacobian – mean, worst | 0.96, 0.49 | 0.96, 0.49 | 0.96, 0.49 | 0.97, 0.48 | 0.96, 0.43 |
| Condition number – mean, worst | 1.10, 2.62 | 1.08, 2.56 | 1.10, 2.95 | 1.09, 2.79 | 1.11, 2.45 |
| Scaled Jacobian, LAA - mean, worst | 0.94, 0.57 | 0.97, 0.70 | 0.95, 0.61 | 0.97, 0.70 | - |
| Condition number, LAA - mean, worst | 1.15, 1.76 | 1.07, 1.48 | 1.13, 1.69 | 1.07, 1.56 | - |
Meshes were named in accordance with the number of elements (e.g., mesh with 103 elements is named LA-103).
d.o.f. = degrees of freedom.