# 3D Poisson solving on Stanford Meshes

Source: [3D Poisson solving on Stanford Meshes](<https://www.sota2.com/research/sota/3d-poisson-solving-on-stanford-meshes>)

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

Data updated: 2026-05-26T09:11:59.477Z

Evaluation of models performing 3D Poisson solving on the Stanford Meshes dataset, typically measured using L2 error.

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 | 3D Poisson solving |
| Dataset (including any stated split) | Stanford Meshes |
| Metric | L2 Error |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 8 of 8 |
| 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

- [L2 Error](<https://www.sota2.com/research/sota/3d-poisson-solving-on-stanford-meshes.md?metric=L2%20Error>): Lower is better; unit: SCALAR.

## Recorded results

| Method | L2 Error | Result date | Report paper |
| --- | --- | --- | --- |
| Hermite-NGP | 0.0031 | Not recorded | 6a15293cdbd7150506f7e0e3 |
| Hermite-NGP | 0.0043 | Not recorded | 6a15293cdbd7150506f7e0e3 |
| Hermite-NGP | 0.0044 | Not recorded | 6a15293cdbd7150506f7e0e3 |
| Hermite-NGP | 0.0055 | Not recorded | 6a15293cdbd7150506f7e0e3 |
| PIG | 0.01 | Not recorded | 6a15293cdbd7150506f7e0e3 |
| PIG | 0.0127 | Not recorded | 6a15293cdbd7150506f7e0e3 |
| PIG | 0.0131 | Not recorded | 6a15293cdbd7150506f7e0e3 |
| PIG | 0.0167 | Not recorded | 6a15293cdbd7150506f7e0e3 |

### Hermite-NGP

L2 Error: 0.0031. Result ID: 6a1563d7fbc373592c0d0a68.

[Reporting paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

Recorded evaluation configuration: {"Mesh":"Fandisk"}. This record does not assert independent reproduction.

### Hermite-NGP

L2 Error: 0.0043. Result ID: 6a1563d7fbc373592c0d0a6a.

[Reporting paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

Recorded evaluation configuration: {"Mesh":"Average"}. This record does not assert independent reproduction.

### Hermite-NGP

L2 Error: 0.0044. Result ID: 6a1563d7fbc373592c0d0a66.

[Reporting paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

Recorded evaluation configuration: {"Mesh":"Bunny"}. This record does not assert independent reproduction.

### Hermite-NGP

L2 Error: 0.0055. Result ID: 6a1563d7fbc373592c0d0a64.

[Reporting paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

Recorded evaluation configuration: {"Mesh":"Armadillo"}. This record does not assert independent reproduction.

### PIG

L2 Error: 0.01. Result ID: 6a1563d7fbc373592c0d0a69.

[Reporting paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77771e209131cea7352f.md>)

Recorded evaluation configuration: {"Mesh":"Fandisk"}. This record does not assert independent reproduction.

### PIG

L2 Error: 0.0127. Result ID: 6a1563d7fbc373592c0d0a67.

[Reporting paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77771e209131cea7352f.md>)

Recorded evaluation configuration: {"Mesh":"Bunny"}. This record does not assert independent reproduction.

### PIG

L2 Error: 0.0131. Result ID: 6a1563d7fbc373592c0d0a6b.

[Reporting paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77771e209131cea7352f.md>)

Recorded evaluation configuration: {"Mesh":"Average"}. This record does not assert independent reproduction.

### PIG

L2 Error: 0.0167. Result ID: 6a1563d7fbc373592c0d0a65.

[Reporting paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77771e209131cea7352f.md>)

Recorded evaluation configuration: {"Mesh":"Armadillo"}. This record does not assert independent reproduction.

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