Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.09579 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915359853903872 |
|---|---|
| author | Wang, Pengfei Zhang, Ziyang Wang, Wensong Chen, Shuangmin Lu, Lin Xin, Shiqing Tu, Changhe |
| author_facet | Wang, Pengfei Zhang, Ziyang Wang, Wensong Chen, Shuangmin Lu, Lin Xin, Shiqing Tu, Changhe |
| contents | Extracting high-fidelity mesh surfaces from Signed Distance Fields has become a fundamental operation in geometry processing. Despite significant progress over the past decades, key challenges remain namely, how to automatically capture the intricate geometric and topological structures encoded in the zero level set of SDFs. In this paper, we present a novel isosurface extraction algorithm that introduces two key innovations: 1. An incrementally constructed power diagram through the addition of sample points, which enables repeated updates to the extracted surface via its dual regular Delaunay tetrahedralization; and 2. An adaptive point insertion strategy that identifies regions exhibiting the greatest discrepancy between the current mesh and the underlying continuous surface. As the teaser figure shows, our framework progressively refines the extracted mesh with minimal computational cost until it sufficiently approximates the underlying surface. Experimental results demonstrate that our approach outperforms sofa methods, particularly for models with intricate geometric variations and complex topologies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09579 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Power Diagram Enhanced Adaptive Isosurface Extraction from Signed Distance Fields Wang, Pengfei Zhang, Ziyang Wang, Wensong Chen, Shuangmin Lu, Lin Xin, Shiqing Tu, Changhe Computational Geometry Extracting high-fidelity mesh surfaces from Signed Distance Fields has become a fundamental operation in geometry processing. Despite significant progress over the past decades, key challenges remain namely, how to automatically capture the intricate geometric and topological structures encoded in the zero level set of SDFs. In this paper, we present a novel isosurface extraction algorithm that introduces two key innovations: 1. An incrementally constructed power diagram through the addition of sample points, which enables repeated updates to the extracted surface via its dual regular Delaunay tetrahedralization; and 2. An adaptive point insertion strategy that identifies regions exhibiting the greatest discrepancy between the current mesh and the underlying continuous surface. As the teaser figure shows, our framework progressively refines the extracted mesh with minimal computational cost until it sufficiently approximates the underlying surface. Experimental results demonstrate that our approach outperforms sofa methods, particularly for models with intricate geometric variations and complex topologies. |
| title | Power Diagram Enhanced Adaptive Isosurface Extraction from Signed Distance Fields |
| topic | Computational Geometry |
| url | https://arxiv.org/abs/2506.09579 |