HotSpot: Signed Distance Function Optimization with an Asymptotically Sufficient Condition
Zimo Wang, Cheng Wang, Taiki Yoshino, Sirui Tao, Ziyang Fu, Tzu-Mao Li
Abstract
Figure 1. We propose HOTSPOT, a neural signed distance function optimization method that establishes an asymptotic sufficient condition to guarantee convergence to a true distance function, enabling precise surface reconstruction and level set representation for complex shapes. Here we show a reconstruction from a point cloud sampled from the reference bunny (taken from Mehta et al. [1]) on the right. In the inset, we visualize the recovered signed distance function on a horizontal slice, using warm colors for positive values and cool for negative (zoom in for details). Our reconstruction is significantly more accurate than prior works (SAL [2], DiGS [3], and StEik [4]).
Ask about this paper
Your agent reads all of it.
Lune indexed this paper to the last equation, along with the top-tier papers that cite it. Ask a question and the answer quotes them.
Your agent calls
Luneget_paper_fulltext
Free to start. No credit card required.
Terminal
Install the CLIlune papers fulltext 37d23003-19d5-413f-bb76-07068fa9dacdCited by top-tier papers1
Ask how each one uses itBuilds on27
- Implicit Neural Representations with Periodic Activation FunctionsVincent Sitzmann, Julien N. P. Martel, Alexander W. Bergman, David B. Lindell et al.NeurIPS 2020 · 4,008 citations
- Multiview Neural Surface Reconstruction by Disentangling Geometry and AppearanceLior Yariv, Yoni Kasten, Dror Moran, Meirav Galun et al.NeurIPS 2020 · 1,010 citations
- Implicit Geometric Regularization for Learning ShapesAmos Gropp, Lior Yariv, Niv Haim, Matan Atzmon et al.ICML 2020 · 1,001 citations
- Shape As Points: A Differentiable Poisson SolverSongyou Peng, Chiyu Jiang, Yiyi Liao, Michael Niemeyer et al.NeurIPS 2021 · 311 citations
- Neural-Pull: Learning Signed Distance Function from Point clouds by Learning to Pull Space onto SurfaceBaorui Ma, Zhizhong Han, Yu-Shen Liu, Matthias ZwickerICML 2021 · 215 citations
Related papers
- Small Steps and Level Sets: Fitting Neural Surface Models with Point GuidanceChamin Hewa Koneputugodage, Yizhak Ben-Shabat, Dylan Campbell, Stephen GouldCVPR 2024
- Learning Consistency-Aware Unsigned Distance Functions Progressively from Raw Point CloudsJunsheng Zhou, Baorui Ma, Yu-Shen Liu, Yi Fang et al.NeurIPS 2022 · 77 citations
- MultiPull: Detailing Signed Distance Functions by Pulling Multi-Level Queries at Multi-StepTakeshi Noda, Chao Chen, Weiqi Zhang, Xinhai Liu et al.NeurIPS 2024 · 19 citations
- Surface Extraction from Neural Unsigned Distance FieldsCongyi Zhang, Guying Lin, Lei Yang, Xin Li et al.ICCV 2023 · 18 citations
- Reconstructing Surfaces for Sparse Point Clouds with On-Surface PriorsBaorui Ma, Yu-Shen Liu, Zhizhong HanCVPR 2022 · 66 citations
