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We propose a novel method that renders point clouds as if they are surfaces. The proposed method is differentiable and requires no scene-specific optimization. This unique capability enables, out-of-the-box, surface normal estimation,…

Computer Vision and Pattern Recognition · Computer Science 2023-04-26 Jen-Hao Rick Chang , Wei-Yu Chen , Anurag Ranjan , Kwang Moo Yi , Oncel Tuzel

Existing neural implicit surface reconstruction methods have achieved impressive performance in multi-view 3D reconstruction by leveraging explicit geometry priors such as depth maps or point clouds as regularization. However, the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Hanlin Chen , Chen Li , Yunsong Wang , Gim Hee Lee

Point clouds upsampling is a challenging issue to generate dense and uniform point clouds from the given sparse input. Most existing methods either take the end-to-end supervised learning based manner, where large amounts of pairs of sparse…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Wenbo Zhao , Xianming Liu , Zhiwei Zhong , Junjun Jiang , Wei Gao , Ge Li , Xiangyang Ji

This paper proposes a fast and accurate surface normal estimation method which can be directly used on depth maps (organized point clouds). The surface normal estimation process is formulated as a closed-form expression. In order to reduce…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Saed Moradi , Alireza Memarmoghadam , Denis Laurendeau

We introduce CurveFusion, the first approach for high quality scanning of thin structures at interactive rates using a handheld RGBD camera. Thin filament-like structures are mathematically just 1D curves embedded in R^3, and…

Graphics · Computer Science 2021-07-13 Lingjie Liu , Nenglun Chen , Duygu Ceylan , Christian Theobalt , Wenping Wang , Niloy J. Mitra

Probabilistic graphical models are a key tool in machine learning applications. Computing the partition function, i.e., normalizing constant, is a fundamental task of statistical inference but it is generally computationally intractable,…

Machine Learning · Statistics 2020-01-29 Sungsoo Ahn , Michael Chertkov , Adrian Weller , Jinwoo Shin

Single-image 3D human reconstruction aims to reconstruct the 3D textured surface of the human body given a single image. While implicit function-based methods recently achieved reasonable reconstruction performance, they still bear…

Computer Vision and Pattern Recognition · Computer Science 2022-11-10 Gyumin Shim , Minsoo Lee , Jaegul Choo

Accurate interpolation and approximation techniques for functions with discontinuities are key tools in many applications as, for instance, medical imaging. In this paper, we study an RBF type method for scattered data interpolation that…

Numerical Analysis · Mathematics 2019-03-08 Stefano De Marchi , Wolfgang Erb , Francesco Marchetti , Emma Perracchione , Milvia Rossini

Reconstructing models from unorganized point clouds presents a significant challenge, especially when the models consist of multiple components represented by their surface point clouds. Such models often involve point clouds with noise…

Computational Geometry · Computer Science 2025-08-26 Yu Chen , Hongwei Lin

We present an approach to inform the reconstruction of a surface from a point scan through topological priors. The reconstruction is based on basis functions which are optimized to provide a good fit to the point scan while satisfying…

Computational Geometry · Computer Science 2021-09-17 Rickard Brüel-Gabrielsson , Vignesh Ganapathi-Subramanian , Primoz Skraba , Leonidas J. Guibas

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

Recently, collocation based radial basis function (RBF) partition of unity methods (PUM) for solving partial differential equations have been formulated and investigated numerically and theoretically. When combined with stable evaluation…

Numerical Analysis · Mathematics 2017-02-24 Elisabeth Larsson , Victor Shcherbakov , Alfa Heryudono

Scattered data interpolation schemes using kriging and radial basis functions (RBFs) have the advantage of being meshless and dimensional independent, however, for the data sets having insufficient observations, RBFs have the advantage over…

Numerical Analysis · Mathematics 2018-06-12 Pankaj K Mishra , Sankar K Nath , Mrinal K Sen , Gregory E Fasshauer

This paper studies a problem of learning surface mesh via implicit functions in an emerging field of deep learning surface reconstruction, where implicit functions are popularly implemented as multi-layer perceptrons (MLPs) with rectified…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Jiabao Lei , Kui Jia

Solving partial differential equations (PDEs) on manifolds defined by randomly sampled point clouds is a challenging problem in scientific computing and has broad applications in various fields. In this paper, we develop a two-step…

Numerical Analysis · Mathematics 2025-12-17 Rongji Li , Haichuan Di , Shixiao Willing Jiang

We present a novel neural surface reconstruction method called NeuralRoom for reconstructing room-sized indoor scenes directly from a set of 2D images. Recently, implicit neural representations have become a promising way to reconstruct…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Yusen Wang , Zongcheng Li , Yu Jiang , Kaixuan Zhou , Tuo Cao , Yanping Fu , Chunxia Xiao

Implicit functions represented as deep learning approximations are powerful for reconstructing 3D surfaces. However, they can only produce static surfaces that are not controllable, which provides limited ability to modify the resulting…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Bharat Lal Bhatnagar , Cristian Sminchisescu , Christian Theobalt , Gerard Pons-Moll

We present RangeUDF, a new implicit representation based framework to recover the geometry and semantics of continuous 3D scene surfaces from point clouds. Unlike occupancy fields or signed distance fields which can only model closed 3D…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Bing Wang , Zhengdi Yu , Bo Yang , Jie Qin , Toby Breckon , Ling Shao , Niki Trigoni , Andrew Markham

As 3D scanning devices and depth sensors mature, point clouds have attracted increasing attention as a format for 3D object representation, with applications in various fields such as tele-presence, navigation and heritage reconstruction.…

Computer Vision and Pattern Recognition · Computer Science 2018-10-10 Zeqing Fu , Wei Hu , Zongming Guo

Neural implicit surface reconstruction using volume rendering techniques has recently achieved significant advancements in creating high-fidelity surfaces from multiple 2D images. However, current methods primarily target scenes with…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Lintao Xiang , Hongpei Zheng , Bailin Deng , Hujun Yin