Robust Zero Level-Set Extraction from Unsigned Distance Fields Based on Double Covering Article Swipe

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Fei Hou , X T Chen , Wencheng Wang , Hong Qin , Ying He ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.1145/3618314

In this paper, we propose a new method, called DoubleCoverUDF, for extracting the zero level-set from unsigned distance fields (UDFs). DoubleCoverUDF takes a learned UDF and a user-specified parameter r (a small positive real number) as input and extracts an iso-surface with an iso-value r using the conventional marching cubes algorithm. We show that the computed iso-surface is the boundary of the r -offset volume of the target zero level-set S , which is an orientable manifold, regardless of the topology of S. Next, the algorithm computes a covering map to project the boundary mesh onto S , preserving the mesh's topology and avoiding folding. If S is an orientable manifold surface, our algorithm separates the double-layered mesh into a single layer using a robust minimum-cut post-processing step. Otherwise, it keeps the double-layered mesh as the output. We validate our algorithm by reconstructing 3D surfaces of open models and demonstrate its efficacy and effectiveness on synthetic models and benchmark datasets. Our experimental results confirm that our method is robust and produces meshes with better quality in terms of both visual evaluation and quantitative measures than existing UDF-based methods. The source code is available at https://github.com/jjjkkyz/DCUDF.

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Benchmark (Surveying)

Mathematics

Visualization (Graphics)

Geometry

Artificial Intelligence

Computer Graphics

Combinatorics

Mathematical Analysis

Mechanical Engineering

Geodesy

Concepts

Polygon mesh Computer science Marching cubes Offset (computer science) Isosurface Algorithm Signed distance function Surface (topology) Benchmark (surveying) Manifold (fluid mechanics) Zero (linguistics) Boundary (topology) Mathematics Topology (electrical circuits) Set (abstract data type) Visualization Geometry Artificial intelligence Computer graphics (images) Combinatorics Mathematical analysis Geography Programming language Philosophy Engineering Mechanical engineering Linguistics Geodesy

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Type: article
Language: en
Landing Page: https://doi.org/10.1145/3618314
PDF: https://dl.acm.org/doi/pdf/10.1145/3618314
OA Status: bronze
Cited By: 14
References: 65
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DOI: https://doi.org/10.1145/3618314

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Title: Robust Zero Level-Set Extraction from Unsigned Distance Fields Based on Double Covering

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Language: en

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Publication year: 2023

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Publication date: 2023-12-05

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Authors: Fei Hou, X T Chen, Wencheng Wang, Hong Qin, Ying He

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Landing page: https://doi.org/10.1145/3618314

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Concepts: Polygon mesh, Computer science, Marching cubes, Offset (computer science), Isosurface, Algorithm, Signed distance function, Surface (topology), Benchmark (surveying), Manifold (fluid mechanics), Zero (linguistics), Boundary (topology), Mathematics, Topology (electrical circuits), Set (abstract data type), Visualization, Geometry, Artificial intelligence, Computer graphics (images), Combinatorics, Mathematical analysis, Geography, Programming language, Philosophy, Engineering, Mechanical engineering, Linguistics, Geodesy

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Cited by: 14

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