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Reconstructing a surface from a point cloud is an underdetermined problem. We use a neural network to study and quantify this reconstruction uncertainty under a Poisson smoothness prior. Our algorithm addresses the main limitations of…

Graphics · Computer Science 2023-09-22 Silvia Sellán , Alec Jacobson

A suitable measure for the similarity of shapes represented by parameterized curves or surfaces is the Fr\'echet distance. Whereas efficient algorithms are known for computing the Fr\'echet distance of polygonal curves, the same problem for…

Computational Geometry · Computer Science 2007-05-23 Helmut Alt , Maike Buchin

This paper is concerned with the inverse scattering problem by an unbounded rough surface. A direct imaging method is proposed to reconstruct the rough surface from the scattered near-field Cauchy data generating by point sources and…

Numerical Analysis · Mathematics 2018-05-01 Xiaoli Liu , Bo Zhang , Haiwen Zhang

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

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

Single-view 3D object reconstruction is a challenging fundamental problem in computer vision, largely due to the morphological diversity of objects in the natural world. In particular, high curvature regions are not always captured…

Computer Vision and Pattern Recognition · Computer Science 2020-06-16 Ziyun Wang , Eric A. Mitchell , Volkan Isler , Daniel D. Lee

One challenge that remains open in 3D deep learning is how to efficiently represent 3D data to feed deep networks. Recent works have relied on volumetric or point cloud representations, but such approaches suffer from a number of issues…

Computer Vision and Pattern Recognition · Computer Science 2019-01-25 Jhony K. Pontes , Chen Kong , Sridha Sridharan , Simon Lucey , Anders Eriksson , Clinton Fookes

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

Implicit neural rendering, which uses signed distance function (SDF) representation with geometric priors (such as depth or surface normal), has led to impressive progress in the surface reconstruction of large-scale scenes. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Xiaoyang Lyu , Peng Dai , Zizhang Li , Dongyu Yan , Yi Lin , Yifan Peng , Xiaojuan Qi

Nanoscale design of surfaces and interfaces is essential for modern technologies like organic LEDs, batteries, fuel cells, superlubricating surfaces, and heterogeneous catalysis. However, these systems often exhibit complex surface…

Materials Science · Physics 2025-07-08 Lukas Hörmann , Wojciech G. Stark , Reinhard J. Maurer

Efficiently reconstructing complex and intricate surfaces at scale is a long-standing goal in machine perception. To address this problem we introduce Deep Local Shapes (DeepLS), a deep shape representation that enables encoding and…

Computer Vision and Pattern Recognition · Computer Science 2020-08-25 Rohan Chabra , Jan Eric Lenssen , Eddy Ilg , Tanner Schmidt , Julian Straub , Steven Lovegrove , Richard Newcombe

Surface reconstruction is very challenging when the input point clouds, particularly real scans, are noisy and lack normals. Observing that the Multilayer Perceptron (MLP) and the implicit moving least-square function (IMLS) provide a dual…

Computer Vision and Pattern Recognition · Computer Science 2023-09-07 Zixiong Wang , Pengfei Wang , Pengshuai Wang , Qiujie Dong , Junjie Gao , Shuangmin Chen , Shiqing Xin , Changhe Tu , Wenping Wang

With the recent advances in hardware and rendering techniques, 3D models have emerged everywhere in our life. Yet creating 3D shapes is arduous and requires significant professional knowledge. Meanwhile, Deep learning has enabled…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Zhiqin Chen

Reconstructing 2D curves from sample points has long been a critical challenge in computer graphics, finding essential applications in vector graphics. The design and editing of curves on surfaces has only recently begun to receive…

Computational Geometry · Computer Science 2024-10-08 Diana Marin , Filippo Maggioli , Simone Melzi , Stefan Ohrhallinger , Michael Wimmer

Point cloud reconstruction from raw point cloud has been an important topic in computer graphics for decades, especially due to its high demand in modeling and rendering applications. An important way to solve this problem is establishing a…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Hui Tian , Kai Xu

Reconstructing objects from real world data and rendering them at novel views is critical to bringing realism, diversity and scale to simulation for robotics training and testing. In this work, we present NeuSim, a novel approach that…

Computer Vision and Pattern Recognition · Computer Science 2023-11-10 Ze Yang , Sivabalan Manivasagam , Yun Chen , Jingkang Wang , Rui Hu , Raquel Urtasun

Neural reconstruction and rendering strategies have demonstrated state-of-the-art performances due, in part, to their ability to preserve high level shape details. Existing approaches, however, either represent objects as implicit surface…

Computer Vision and Pattern Recognition · Computer Science 2023-12-29 Angtian Wang , Yuanlu Xu , Nikolaos Sarafianos , Robert Maier , Edmond Boyer , Alan Yuille , Tony Tung

We propose a novel framework for computing the medial axis transform of 3D shapes while preserving their medial features via restricted power diagram (RPD). Medial features, including external features such as the sharp edges and corners of…

Graphics · Computer Science 2022-10-26 Ningna Wang , Bin Wang , Wenping Wang , Xiaohu Guo

Recently, methods for neural surface representation and rendering, for example NeuS, have shown that learning neural implicit surfaces through volume rendering is becoming increasingly popular and making good progress. However, these…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Hanqi Jiang , Cheng Zeng , Runnan Chen , Shuai Liang , Yinhe Han , Yichao Gao , Conglin Wang

Neural implicit shape representations are an emerging paradigm that offers many potential benefits over conventional discrete representations, including memory efficiency at a high spatial resolution. Generalizing across shapes with such…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 Vincent Sitzmann , Eric R. Chan , Richard Tucker , Noah Snavely , Gordon Wetzstein
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