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We propose an algorithm to reconstruct explicit polygonal meshes from discretely sampled Signed Distance Function (SDF) data, which is especially effective at recovering sharp features. Building on the traditional Dual Contouring of Hermite…

Graphics · Computer Science 2026-04-02 Xiana Carrera , Ningna Wang , Christopher Batty , Oded Stein , Silvia Sellán

Surface reconstruction from multi-view images is a core challenge in 3D vision. Recent studies have explored signed distance fields (SDF) within Neural Radiance Fields (NeRF) to achieve high-fidelity surface reconstructions. However, these…

Computer Vision and Pattern Recognition · Computer Science 2024-12-23 Baixin Xu , Jiangbei Hu , Jiaze Li , Ying He

This monograph develops a comprehensive statistical learning framework that is robust to (distributional) perturbations in the data using Distributionally Robust Optimization (DRO) under the Wasserstein metric. Beginning with fundamental…

Machine Learning · Statistics 2021-08-23 Ruidi Chen , Ioannis Ch. Paschalidis

Neural signed distance functions (SDFs) have been a vital representation to represent 3D shapes or scenes with neural networks. An SDF is an implicit function that can query signed distances at specific coordinates for recovering a 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Qiang Bai , Bojian Wu , Xi Yang , Zhizhong Han

Learning-based point cloud registration methods can handle clean point clouds well, while it is still challenging to generalize to noisy, partial, and density-varying point clouds. To this end, we propose a novel point cloud registration…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Leida Zhang , Zhengda Lu , Kai Liu , Yiqun Wang

Signed Distance Functions (SDFs) are vital implicit representations to represent high fidelity 3D surfaces. Current methods mainly leverage a neural network to learn an SDF from various supervisions including signed distances, 3D point…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Chao Chen , Yu-Shen Liu , Zhizhong Han

Learning representations that capture both intrinsic data geometry and target-relevant structure remains a fundamental challenge, particularly in settings where data reduction must balance compression with predictive fidelity. While…

Machine Learning · Computer Science 2026-05-28 Sai-Aakash Ramesh , Archit Sood , Andrew Corbett , Tim Dodwell

Signed distance-radiance field (SDF-NeRF) is a promising environment representation that offers both photo-realistic rendering and geometric reasoning such as proximity queries for collision avoidance. However, the slow training speed and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Runfa Blark Li , Keito Suzuki , Bang Du , Ki Myung Brian Lee , Nikolay Atanasov , Truong Nguyen

Neural signed distance functions (SDFs) have shown powerful ability in fitting the shape geometry. However, inferring continuous signed distance fields from discrete unoriented point clouds still remains a challenge. The neural network…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Shengtao Li , Ge Gao , Yudong Liu , Ming Gu , Yu-Shen Liu

In recent years, neural signed distance function (SDF) has become one of the most effective representation methods for 3D models. By learning continuous SDFs in 3D space, neural networks can predict the distance from a given query space…

Computer Vision and Pattern Recognition · Computer Science 2022-01-21 Yuanzhan Li , Yuqi Liu , Yujie Lu , Siyu Zhang , Shen Cai , Yanting Zhang

We extend the recently proposed sparse voxel rasterization paradigm to the task of high-fidelity surface reconstruction by integrating Signed Distance Function (SDF), named SVRecon. Unlike 3D Gaussians, sparse voxels are spatially…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Seunghun Oh , Jaesung Choe , Dongjae Lee , Daeun Lee , Seunghoon Jeong , Yu-Chiang Frank Wang , Jaesik Park

This study addresses the partial-to-complete geometry reconstruction of deformable objects (DOs) from point-cloud observations toward precise DO manipulation. Recent DO reconstruction approaches often adopt implicit neural representations…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Deokmin Hwang , Minseok Song , Daehyung Park

Moment-based distributionally robust optimization (DRO) provides an optimization framework to integrate statistical information with traditional optimization approaches. Under this framework, one assumes that the underlying joint…

Optimization and Control · Mathematics 2023-11-01 Shiyi Jiang , Jianqiang Cheng , Kai Pan , Zuo-Jun Max Shen

Presenting a 3D scene from multiview images remains a core and long-standing challenge in computer vision and computer graphics. Two main requirements lie in rendering and reconstruction. Notably, SOTA rendering quality is usually achieved…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Mulin Yu , Tao Lu , Linning Xu , Lihan Jiang , Yuanbo Xiangli , Bo Dai

SDF-based differential rendering frameworks have achieved state-of-the-art multiview 3D shape reconstruction. In this work, we re-examine this family of approaches by minimally reformulating its core appearance model in a way that…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Briac Toussaint , Diego Thomas , Jean-Sébastien Franco

This paper studies Distributionally Robust Optimization (DRO), a fundamental framework for enhancing the robustness and generalization of statistical learning and optimization. An effective ambiguity set for DRO must involve distributions…

Machine Learning · Computer Science 2025-10-28 Jiaqi Wen , Jianyi Yang

As machine learning models are deployed ever more broadly, it becomes increasingly important that they are not only able to perform well on their training distribution, but also yield accurate predictions when confronted with distribution…

Machine Learning · Computer Science 2022-04-14 Paul Michel , Tatsunori Hashimoto , Graham Neubig

Neural signed distance functions (SDFs) have shown remarkable capability in representing geometry with details. However, without signed distance supervision, it is still a challenge to infer SDFs from point clouds or multi-view images using…

Computer Vision and Pattern Recognition · Computer Science 2023-05-22 Baorui Ma , Junsheng Zhou , Yu-Shen Liu , Zhizhong Han

Neural Signed Distance Fields (SDFs) provide a differentiable environment representation to readily obtain collision checks and well-defined gradients for robot navigation tasks. However, updating neural SDFs as the scene evolves entails…

Robotics · Computer Science 2025-03-07 S. Talha Bukhari , Daniel Lawson , Ahmed H. Qureshi

The distributionally robust optimization (DRO)-based graph neural network methods improve recommendation systems' out-of-distribution (OOD) generalization by optimizing the model's worst-case performance. However, these studies fail to…

Machine Learning · Computer Science 2025-01-28 Chu Zhao , Enneng Yang , Yuliang Liang , Jianzhe Zhao , Guibing Guo , Xingwei Wang