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Surface reconstruction from a set of scattered points, or a point cloud, has many applications ranging from computer graphics to remote sensing. We present a new method for this task that produces an implicit surface (zero-level set)…

Numerical Analysis · Mathematics 2022-07-22 Kathryn P. Drake , Edward J. Fuselier , Grady B. Wright

The Partition of Unity (PU) method, performed with local Radial Basis Function (RBF) approximants, has been proved to be an effective tool for solving large scattered data interpolation problems. However, in order to achieve a good…

Numerical Analysis · Mathematics 2017-03-14 Roberto Cavoretto , Alessandra De Rossi , Emma Perracchione

In this paper, we deal with the challenging computational issue of interpolating large data sets, with eventually non-homogeneous densities. To such scope, the Radial Basis Function Partition of Unity (RBF-PU) method has been proved to be a…

Numerical Analysis · Mathematics 2016-11-23 Roberto Cavoretto , Alessandra De Rossi , Emma Perracchione

In this paper we describe a parallel implicit method based on radial basis functions (RBF) for surface reconstruction. The applicability of RBF methods is hindered by its computational demand, that requires the solution of linear systems of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-23 Salvatore Cuomo , Ardelio Gallettiy , Giulio Giuntay , Alfredo Staracey

We consider the problem of reconstructing 3D objects via meshfree interpolation methods. In this framework, we usually deal with large data sets and thus we develop an efficient local scheme via the well-known Partition of Unity (PU)…

Numerical Analysis · Mathematics 2018-02-07 Emma Perracchione

In this paper we propose a new efficient interpolation tool, extremely suitable for large scattered data sets. The partition of unity method is used and performed by blending Radial Basis Functions (RBFs) as local approximants and using…

Numerical Analysis · Mathematics 2016-04-18 R. Cavoretto , A. De Rossi , E. Perracchione

In this paper we propose a new stable and accurate approximation technique which is extremely effective for interpolating large scattered data sets. The Partition of Unity (PU) method is performed considering Radial Basis Functions (RBFs)…

Numerical Analysis · Mathematics 2018-11-15 R. Cavoretto , S. De Marchi , A. De Rossi , E. Perracchione , G. Santin

We present a method for recovering the structure of a plant directly from a small set of widely-spaced images. Structure recovery is more complex than shape estimation, but the resulting structure estimate is more closely related to…

Computer Vision and Pattern Recognition · Computer Science 2015-03-13 Ben Ward , John Bastian , Anton van den Hengel , Daniel Pooley , Rajendra Bari , Bettina Berger , Mark Tester

We address the problem of glass surface segmentation with an RGB-D camera, with a focus on effectively fusing RGB and depth information. To this end, we propose a Weighted Feature Fusion (WFF) module that dynamically and adaptively combines…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Henghong Lin , Zihan Zhu , Tao Wang , Anastasia Ioannou , Yuanshui Huang

Recent advances in implicit neural representations have achieved impressive results by sampling and fusing individual points along sampling rays in the sampling space. However, due to the explosively growing sampling space, finely…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Yuhan Ding , Fukun Yin , Jiayuan Fan , Hui Li , Xin Chen , Wen Liu , Chongshan Lu , Gang YU , Tao Chen

Purpose: To develop an algorithm for robust partial Fourier (PF) reconstruction applicable to diffusion-weighted (DW) images with non-smooth phase variations. Methods: Based on an unrolled proximal splitting algorithm, a neural network…

Image and Video Processing · Electrical Eng. & Systems 2022-01-11 Fasil Gadjimuradov , Thomas Benkert , Marcel Dominik Nickel , Andreas Maier

Reconstruction of high-fidelity 3D objects or scenes is a fundamental research problem. Recent advances in RGB-D fusion have demonstrated the potential of producing 3D models from consumer-level RGB-D cameras. However, due to the discrete…

Computer Vision and Pattern Recognition · Computer Science 2022-02-15 Yabin Xu , Liangliang Nan , Laishui Zhou , Jun Wang , Charlie C. L. Wang

The partition of unity (PU) method, performed with local radial basis function (RBF) approximants, has already been proved to be an effective tool for solving interpolation or collocation problems when large data sets are considered. It…

Numerical Analysis · Mathematics 2018-11-14 R. Cavoretto , A. De Rossi , G. E. Fasshauer , M. J. McCourt , E. Perracchione

Image fusion is a fundamental and important task in computer vision, aiming to combine complementary information from different modalities to fuse images. In recent years, diffusion models have made significant developments in the field of…

Computer Vision and Pattern Recognition · Computer Science 2025-09-25 Zirui Wang , Jiayi Zhang , Tianwei Guan , Yuhan Zhou , Xingyuan Li , Minjing Dong , Jinyuan Liu

Image fusion aims to combine information from multiple source images into a single one with more comprehensive informational content. Deep learning-based image fusion algorithms face significant challenges, including the lack of a…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Haowen Bai , Zixiang Zhao , Jiangshe Zhang , Yichen Wu , Lilun Deng , Yukun Cui , Shuang Xu , Baisong Jiang

Thin surfaces, such as the leaves of a plant, pose a significant challenge for implicit surface reconstruction techniques, which typically assume a closed, orientable surface. We show that by approximately interpolating a point cloud of the…

Numerical Analysis · Mathematics 2023-09-19 Riley M. Whebell , Timothy J. Moroney , Ian W. Turner , Ravindra Pethiyagoda , Scott W. McCue

Approximation of scattered data is often a task in many engineering problems. The Radial Basis Function (RBF) approximation is appropriate for big scattered datasets in $n-$dimensional space. It is a non-separable approximation, as it is…

Computational Engineering, Finance, and Science · Computer Science 2018-06-22 Zuzana Majdisova , Vaclav Skala

We introduce MIPS-Fusion, a robust and scalable online RGB-D reconstruction method based on a novel neural implicit representation -- multi-implicit-submap. Different from existing neural RGB-D reconstruction methods lacking either…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Yijie Tang , Jiazhao Zhang , Zhinan Yu , He Wang , Kai Xu

The introduction of the neural implicit representation has notably propelled the advancement of online dense reconstruction techniques. Compared to traditional explicit representations, such as TSDF, it improves the mapping completeness and…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Yuqing Lan , Chenyang Zhu , Shuaifeng Zhi , Jiazhao Zhang , Zhoufeng Wang , Renjiao Yi , Yijie Wang , Kai Xu

Traditional and deep learning-based fusion methods generated the intermediate decision map to obtain the fusion image through a series of post-processing procedures. However, the fusion results generated by these methods are easy to lose…

Computer Vision and Pattern Recognition · Computer Science 2021-04-21 Yongsheng Zang , Dongming Zhou , Changcheng Wang , Rencan Nie , Yanbu Guo
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