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Unsigned distance functions offer a powerful and flexible implicit surface representation that, unlike their signed counterparts, allow for surfaces that are open, non-orientable, or non-manifold. We consider the problem of reconstructing…

Graphics · Computer Science 2026-05-11 Ningna Wang , Xiana Carrera , Christopher Batty , Oded Stein , Silvia Sellán

The inverse design of metamaterial architectures presents a significant challenge, particularly for nonlinear mechanical properties involving large deformations, buckling, contact, and plasticity. Traditional methods, such as gradient-based…

Computational Physics · Physics 2025-05-29 Qibang Liu , Seid Koric , Diab Abueidda , Hadi Meidani , Philippe Geubelle

We propose a novel 3D spatial representation for data fusion and scene reconstruction. Probabilistic Signed Distance Function (Probabilistic SDF, PSDF) is proposed to depict uncertainties in the 3D space. It is modeled by a joint…

Robotics · Computer Science 2018-07-31 Wei Dong , Qiuyuan Wang , Xin Wang , Hongbin Zha

Reconstructing continuous surfaces from 3D point clouds is a fundamental operation in 3D geometry processing. Several recent state-of-the-art methods address this problem using neural networks to learn signed distance functions (SDFs). In…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Baorui Ma , Zhizhong Han , Yu-Shen Liu , Matthias Zwicker

While single-view 3D reconstruction has made significant progress benefiting from deep shape representations in recent years, garment reconstruction is still not solved well due to open surfaces, diverse topologies and complex geometric…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Fang Zhao , Wenhao Wang , Shengcai Liao , Ling Shao

Reconstructing complex structures from planar cross-sections is a challenging problem, with wide-reaching applications in medical imaging, manufacturing, and topography. Out-of-the-box point cloud reconstruction methods can often fail due…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Thomas Walker , Salvatore Esposito , Daniel Rebain , Amir Vaxman , Arno Onken , Changjian Li , Oisin Mac Aodha

A signed distance function (SDF) parametrized by an MLP is a common ingredient of neural surface reconstruction. We build on the successful recent method NeuS to extend it by three new components. The first component is to borrow the…

Computer Vision and Pattern Recognition · Computer Science 2023-05-10 Yiqun Wang , Ivan Skorokhodov , Peter Wonka

Given only a set of images, neural implicit surface representation has shown its capability in 3D surface reconstruction. However, as the nature of per-scene optimization is based on the volumetric rendering of color, previous neural…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Jing Li , Jinpeng Yu , Ruoyu Wang , Zhengxin Li , Zhengyu Zhang , Lina Cao , Shenghua Gao

We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. To this end, we replace the commonly used eikonal equation with the heat method, carrying over to the neural domain what…

Numerical Analysis · Mathematics 2026-02-02 Samuel Weidemaier , Florine Hartwig , Josua Sassen , Sergio Conti , Mirela Ben-Chen , Martin Rumpf

It is vital to infer a signed distance function (SDF) in multi-view based surface reconstruction. 3D Gaussian splatting (3DGS) provides a novel perspective for volume rendering, and shows advantages in rendering efficiency and quality.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-21 Wenyuan Zhang , Yu-Shen Liu , Zhizhong Han

Surface reconstruction from point clouds is a crucial task in the fields of computer vision and computer graphics. SDF-based methods excel at reconstructing smooth meshes with minimal error and artefacts but struggle with representing open…

Computer Vision and Pattern Recognition · Computer Science 2024-04-10 Hui Tian , Kai Xu

Recent work achieved impressive progress towards joint reconstruction of hands and manipulated objects from monocular color images. Existing methods focus on two alternative representations in terms of either parametric meshes or signed…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Zerui Chen , Yana Hasson , Cordelia Schmid , Ivan Laptev

Learning signed distance functions (SDFs) from point clouds is an important task in 3D computer vision. However, without ground truth signed distances, point normals or clean point clouds, current methods still struggle from learning SDFs…

Computer Vision and Pattern Recognition · Computer Science 2024-07-22 Junsheng Zhou , Baorui Ma , Yu-Shen Liu , Zhizhong Han

Neural implicit representations are widely used for 3D shape modeling due to their smoothness and compactness, but traditional MLP-based methods struggle with sharp features, such as edges and corners in CAD models, and require long…

Graphics · Computer Science 2025-03-18 Guying Lin , Lei Yang , Congyi Zhang , Hao Pan , Yuhan Ping , Guodong Wei , Taku Komura , John Keyser , Wenping Wang

Implicit surface representations such as the signed distance function (SDF) have emerged as a promising approach for image-based surface reconstruction. However, existing optimization methods assume solid surfaces and are therefore unable…

Computer Vision and Pattern Recognition · Computer Science 2024-11-11 Tianhao Wu , Hanxue Liang , Fangcheng Zhong , Gernot Riegler , Shimon Vainer , Jiankang Deng , Cengiz Oztireli

Key part of robotics, augmented reality, and digital inspection is dense 3D reconstruction from depth observations. Traditional volumetric fusion techniques, including truncated signed distance functions (TSDF), enable efficient and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Soumya Mazumdar , Vineet Kumar Rakesh , Tapas Samanta

We propose SDFDiff, a novel approach for image-based shape optimization using differentiable rendering of 3D shapes represented by signed distance functions (SDFs). Compared to other representations, SDFs have the advantage that they can…

Computer Vision and Pattern Recognition · Computer Science 2022-02-23 Yue Jiang , Dantong Ji , Zhizhong Han , Matthias Zwicker

We present a learning-based method, namely GeoUDF,to tackle the long-standing and challenging problem of reconstructing a discrete surface from a sparse point cloud.To be specific, we propose a geometry-guided learning method for UDF and…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Siyu Ren , Junhui Hou , Xiaodong Chen , Ying He , Wenping Wang

Neural implicit surface reconstruction with signed distance function has made significant progress, but recovering fine details such as thin structures and complex geometries remains challenging due to unreliable or noisy geometric priors.…

Computer Vision and Pattern Recognition · Computer Science 2026-03-02 Qiyu Feng , Jiwei Shan , Shing Shin Cheng , Hesheng Wang

High-dimensional manipulator operation in unstructured environments requires a differentiable, scene-agnostic distance query mechanism to guide safe motion generation. Existing geometric collision checkers are typically non-differentiable,…

Robotics · Computer Science 2026-03-20 Haohua Chen , Yixuan Zhou , Yifan Zhou , Hesheng Wang