# Shape Matching on SMAL (mean geodesic error x100)

Source: [Shape Matching on SMAL (mean geodesic error x100)](<https://www.sota2.com/research/sota/shape-matching-on-smal-mean-geodesic-error-x100>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-06-26T07:58:52.638Z

Evaluation of shape matching performance on the SMAL dataset, specifically measured using the mean geodesic error scaled by 100.

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Shape Matching |
| Dataset (including any stated split) | SMAL |
| Metric | Mean Geodesic Error (x100) |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 15 of 15 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [Mean Geodesic Error (x100)](<https://www.sota2.com/research/sota/shape-matching-on-smal-mean-geodesic-error-x100.md?metric=Mean%20Geodesic%20Error%20(x100)>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Mean Geodesic Error (x100) | Result date | Report paper |
| --- | --- | --- | --- |
| Coarse-to-Fine | 2.9 | Not recorded | 6a3e07b6206542251d7cb5cd |
| HybridFMaps | 3.5 | Not recorded | 6a3e07b6206542251d7cb5cd |
| DeepFAFM | 3.9 | Not recorded | 6a3e07b6206542251d7cb5cd |
| GeomFMaps | 4.3 | Not recorded | 6a3e07b6206542251d7cb5cd |
| DiffZO | 4.3 | Not recorded | 6a3e07b6206542251d7cb5cd |
| DenoiseFMaps | 4.3 | Not recorded | 6a3e07b6206542251d7cb5cd |
| AttentiveFMaps | 4.4 | Not recorded | 6a3e07b6206542251d7cb5cd |
| RFMNet | 4.4 | Not recorded | 6a3e07b6206542251d7cb5cd |
| ULRSSM | 4.5 | Not recorded | 6a3e07b6206542251d7cb5cd |
| DUO-FMNet | 4.8 | Not recorded | 6a3e07b6206542251d7cb5cd |
| MWP | 20.9 | Not recorded | 6a3e07b6206542251d7cb5cd |
| Deep Shells | 21.4 | Not recorded | 6a3e07b6206542251d7cb5cd |
| SmoothShells | 34.9 | Not recorded | 6a3e07b6206542251d7cb5cd |
| DiscreteOp | 36.1 | Not recorded | 6a3e07b6206542251d7cb5cd |
| ZoomOut | 47.7 | Not recorded | 6a3e07b6206542251d7cb5cd |

### Coarse-to-Fine

Mean Geodesic Error (x100): 2.9. Result ID: 6a3e3121fbc373592c5fb6e2.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

Recorded evaluation configuration: {"Method category":"Unsupervised"}. This record does not assert independent reproduction.

### HybridFMaps

Mean Geodesic Error (x100): 3.5. Result ID: 6a3e3121fbc373592c5fb6df.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa74481e209131cea60c26.md>)

[Implementation](<https://hybridfmaps.github.io/>)

Recorded evaluation configuration: {"Method category":"Unsupervised"}. This record does not assert independent reproduction.

### DeepFAFM

Mean Geodesic Error (x100): 3.9. Result ID: 6a3e3121fbc373592c5fb6e0.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa73e01e209131cea5e9c7.md>)

Recorded evaluation configuration: {"Method category":"Unsupervised"}. This record does not assert independent reproduction.

### GeomFMaps

Mean Geodesic Error (x100): 4.3. Result ID: 6a3e3121fbc373592c5fb6d8.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa67511e209131cea1567e.md>)

Recorded evaluation configuration: {"Method category":"Supervised"}. This record does not assert independent reproduction.

### DiffZO

Mean Geodesic Error (x100): 4.3. Result ID: 6a3e3121fbc373592c5fb6de.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa79f41e209131cea803bf.md>)

Recorded evaluation configuration: {"Method category":"Unsupervised"}. This record does not assert independent reproduction.

### DenoiseFMaps

Mean Geodesic Error (x100): 4.3. Result ID: 6a3e3121fbc373592c5fb6e1.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77c41e209131cea7531b.md>)

Recorded evaluation configuration: {"Method category":"Unsupervised"}. This record does not assert independent reproduction.

### AttentiveFMaps

Mean Geodesic Error (x100): 4.4. Result ID: 6a3e3121fbc373592c5fb6db.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6d9f1e209131cea3ae5b.md>)

[Implementation](<https://github.com/craigleili/AttentiveFMaps>)

Recorded evaluation configuration: {"Method category":"Unsupervised"}. This record does not assert independent reproduction.

### RFMNet

Mean Geodesic Error (x100): 4.4. Result ID: 6a3e3121fbc373592c5fb6dc.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

Recorded evaluation configuration: {"Method category":"Unsupervised"}. This record does not assert independent reproduction.

### ULRSSM

Mean Geodesic Error (x100): 4.5. Result ID: 6a3e3121fbc373592c5fb6dd.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa72601e209131cea56043.md>)

Recorded evaluation configuration: {"Method category":"Unsupervised"}. This record does not assert independent reproduction.

### DUO-FMNet

Mean Geodesic Error (x100): 4.8. Result ID: 6a3e3121fbc373592c5fb6da.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa592d1e209131ce9b4b2c.md>)

Recorded evaluation configuration: {"Method category":"Unsupervised"}. This record does not assert independent reproduction.

### MWP

Mean Geodesic Error (x100): 20.9. Result ID: 6a3e3121fbc373592c5fb6d7.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

Recorded evaluation configuration: {"Method category":"Axiomatic"}. This record does not assert independent reproduction.

### Deep Shells

Mean Geodesic Error (x100): 21.4. Result ID: 6a3e3121fbc373592c5fb6d9.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa689e1e209131cea1d258.md>)

Recorded evaluation configuration: {"Method category":"Unsupervised"}. This record does not assert independent reproduction.

### SmoothShells

Mean Geodesic Error (x100): 34.9. Result ID: 6a3e3121fbc373592c5fb6d5.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa66cc1e209131cea1266a.md>)

Recorded evaluation configuration: {"Method category":"Axiomatic"}. This record does not assert independent reproduction.

### DiscreteOp

Mean Geodesic Error (x100): 36.1. Result ID: 6a3e3121fbc373592c5fb6d6.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

Recorded evaluation configuration: {"Method category":"Axiomatic"}. This record does not assert independent reproduction.

### ZoomOut

Mean Geodesic Error (x100): 47.7. Result ID: 6a3e3121fbc373592c5fb6d4.

[Reporting paper](<https://www.sota2.com/research/paper/6a3e07b6206542251d7cb5cd.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa66561e209131cea0f978.md>)

Recorded evaluation configuration: {"Method category":"Axiomatic"}. This record does not assert independent reproduction.

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