diff --git a/index.html b/index.html index 6a4c243..4210d4c 100644 --- a/index.html +++ b/index.html @@ -2,11 +2,12 @@
- - + + -+ In recent years, there has been a growing interest in training Neural Networks to approximate Unsigned Distance Fields (UDFs) for representing open surfaces in the context of 3D reconstruction. + However, UDFs are non-differentiable at the zero level set which leads to significant errors in distances and gradients, generally resulting in fragmented and discontinuous surfaces. + In this paper, we propose to learn a hyperbolic scaling of the unsigned distance field, which defines a new Eikonal problem with distinct boundary conditions. + This allows our formulation to integrate seamlessly with state-of-the-art continuously differentiable implicit neural representation networks, largely applied in the literature to represent signed distance fields. + Our approach not only addresses the challenge of open surface representation but also demonstrates significant improvement in reconstruction quality and training performance. + Moreover, the unlocked field's differentiability allows the accurate computation of essential topological properties such as normal directions and curvatures, pervasive in downstream tasks such as rendering. + Through extensive experiments, we validate our approach across various data sets and against competitive baselines. + The results demonstrate enhanced accuracy and up to an order of magnitude increase in speed compared to previous methods. +
+
+ We compare our method to state of the art neural representation approaches in three common open-surface datasets. Results show greater accuracy and improved training times.
+
+
+ The full differentiability of our method allows for mean and gaussian curvature computation.
+
+
Mean
+Gaussian
++ Precise normal field and principal curvatures computation allows for realistic direct rendering techniques. +
+
- @misc{author2024visdecode,
- title={VisDecode: AI-Driven Interpretation and Enhancement of Scientific Plots},
- author={Author One and Author Two and Author Three},
+ @misc{fainstein2024dudf,
+ title={DUDF: Differentiable Unsigned Distance Fields with Hyperbolic Scaling},
+ author={Miguel Fainstein and Viviana Siless and Emmanuel Iarussi},
year={2024},
- eprint={xxxx.xxxxx},
+ eprint={2402.08876},
archivePrefix={arXiv},
primaryClass={cs.CV}
}
@@ -123,10 +258,11 @@ BibTeX
+ In recent years, there has been a growing interest in training Neural Networks to approximate Unsigned Distance Fields (UDFs) for representing open surfaces in the context of 3D reconstruction. + However, UDFs are non-differentiable at the zero level set which leads to significant errors in distances and gradients, generally resulting in fragmented and discontinuous surfaces. + In this paper, we propose to learn a hyperbolic scaling of the unsigned distance field, which defines a new Eikonal problem with distinct boundary conditions. + This allows our formulation to integrate seamlessly with state-of-the-art continuously differentiable implicit neural representation networks, largely applied in the literature to represent signed distance fields. + Our approach not only addresses the challenge of open surface representation but also demonstrates significant improvement in reconstruction quality and training performance. + Moreover, the unlocked field's differentiability allows the accurate computation of essential topological properties such as normal directions and curvatures, pervasive in downstream tasks such as rendering. + Through extensive experiments, we validate our approach across various data sets and against competitive baselines. + The results demonstrate enhanced accuracy and up to an order of magnitude increase in speed compared to previous methods. +
+
+ We compare our method to state of the art neural representation approaches in three common open-surface datasets. Results show greater accuracy and improved training times.
+
+
+ The full differentiability of our method allows for mean and gaussian curvature computation.
+
+
Mean
+Gaussian
++ Precise normal field and principal curvatures computation allows for realistic direct rendering techniques. +
+
+ @misc{fainstein2024dudf,
+ title={DUDF: Differentiable Unsigned Distance Fields with Hyperbolic Scaling},
+ author={Miguel Fainstein and Viviana Siless and Emmanuel Iarussi},
+ year={2024},
+ eprint={2402.08876},
+ archivePrefix={arXiv},
+ primaryClass={cs.CV}
+ }
+
+