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Add performance figures for DSG #6

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Merged
simofoti merged 2 commits into from
Mar 18, 2026
Merged

Add performance figures for DSG #6

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c0f7391
add performance figures and arxiv link
etyl Mar 18, 2026
3632d67
Merge branch 'main' into fix_dsg
etyl Mar 18, 2026
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9 changes: 9 additions & 0 deletions research/DSG/index.html
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Expand Up @@ -781,6 +781,15 @@ <h4>Geodesic Finite Differences (GFD)</h4>

<p>$$J_{Exp}^v \approx M_{p'}^{\dagger} \cdot \left[ \frac{Exp(p, v+\epsilon_v \hat{e}_{||}) - p'}{\epsilon_v} \quad \frac{Exp(p, v+\epsilon_v \hat{e}_{\perp}) - p'}{\epsilon_v} \right]$$</p>

<h4>GPU Parallelisation</h4>

<p>We implement both methods in CUDA, parallelising the tracing of multiple geodesics across the mesh. This allows us to efficiently compute the exponential map and its Jacobians for large batches of points and vectors, making it practical for integration into deep learning pipelines.</p>

<div style="text-align: center; margin: 20px 0;">
<img src="static/images/benchmark_batch_size.svg" style="width: 45%; border: none; margin-right: 30px;">
<img src="static/images/benchmark_facecount.svg" style="width: 45%; border: none;">
</div>

</div>


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