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Space-filling curves (SFC, also known as FASS-curves) are a useful tool in scientific computing and other areas of computer science to sequentialize multidimensional grids in a cache-efficient and parallelization-friendly way for storage in…

Computational Geometry · Computer Science 2019-11-05 David Holzmüller

The development of 3D scanning technology has enabled the acquisition of massive point cloud models with diverse structures and large scales, thereby presenting significant challenges in point cloud processing. Fast neighboring points…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Shurui Wang , Yuhe Zhang , Ruizhe Guo , Yaning Zhang , Yifei Xie , Xinyu Zhou

Gadget3 is nowadays one of the most frequently used high performing parallel codes for cosmological hydrodynamical simulations. Recent analyses have shown t\ hat the Neighbour Search process of Gadget3 is one of the most time-consuming…

Instrumentation and Methods for Astrophysics · Physics 2018-11-07 Antonio Ragagnin , Nikola Tchipev , Michael Bader , Klaus Dolag , Nicolay J. Hammer

Fixed-radius near neighbor search is a fundamental data operation that retrieves all data points within a user-specified distance to a query point. There are efficient algorithms that can provide fast approximate query responses, but they…

Information Retrieval · Computer Science 2024-01-30 Xinye Chen , Stefan Güttel

We propose simple yet effective improvements in point representations and local neighborhood graph construction within the general framework of graph neural networks (GNNs) for 3D point cloud processing. As a first contribution, we propose…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Siddharth Srivastava , Gaurav Sharma

K-nearest neighbor search is one of the fundamental tasks in various applications and the hierarchical navigable small world (HNSW) has recently drawn attention in large-scale cloud services, as it easily scales up the database while…

Hardware Architecture · Computer Science 2022-07-13 Ji-Hoon Kim , Yeo-Reum Park , Jaeyoung Do , Soo-Young Ji , Joo-Young Kim

The analyses relying on 3D point clouds are an utterly complex task, often involving million of points, but also requiring computationally efficient algorithms because of many real-time applications; e.g. autonomous vehicle. However, point…

Computer Vision and Pattern Recognition · Computer Science 2019-06-11 Can Chen , Luca Zanotti Fragonara , Antonios Tsourdos

Occupancy prediction has increasingly garnered attention in recent years for its fine-grained understanding of 3D scenes. Traditional approaches typically rely on dense, regular grid representations, which often leads to excessive…

Computer Vision and Pattern Recognition · Computer Science 2024-03-20 Yuhang Lu , Xinge Zhu , Tai Wang , Yuexin Ma

Many data-based statistical algorithms require that one find \textit{near or nearest neighbors} to a given vector among a set of points in that vector space, usually with Euclidean topology. The k-d data structure and search algorithms are…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Matthew B. Kennel

Given a collection of points in R^3, KD-Tree and R-Tree are well-known nearest neighbor search (NNS) algorithms that rely on space partitioning and spatial indexing techniques. However, when the query point is far from the data points or…

Computational Geometry · Computer Science 2025-07-30 Pengfei Wang , Jiantao Song , Shiqing Xin , Shuangmin Chen , Changhe Tu , Wenping Wang , Jiaye Wang

This paper proposes a computationally efficient approach to detecting objects natively in 3D point clouds using convolutional neural networks (CNNs). In particular, this is achieved by leveraging a feature-centric voting scheme to implement…

Robotics · Computer Science 2017-03-07 Martin Engelcke , Dushyant Rao , Dominic Zeng Wang , Chi Hay Tong , Ingmar Posner

A space-filling curve (SFC) maps points in a multi-dimensional space to one-dimensional points by discretizing the multi-dimensional space into cells and imposing a linear order on the cells. This way, an SFC enables the indexing of…

Databases · Computer Science 2023-12-29 Guanli Liu , Lars Kulik , Christian S. Jensen , Tianyi Li , Jianzhong Qi

Inspired by the classical fractional cascading technique, we introduce new techniques to speed up the following type of iterated search in 3D: The input is a graph $\mathbf{G}$ with bounded degree together with a set $H_v$ of 3D hyperplanes…

Computational Geometry · Computer Science 2025-04-11 Peyman Afshani , Yakov Nekrich , Frank Staals

Nearest neighbor search has found numerous applications in machine learning, data mining and massive data processing systems. The past few years have witnessed the popularity of the graph-based nearest neighbor search paradigm because of…

Machine Learning · Computer Science 2020-12-22 Hongya Wang , Zhizheng Wang , Wei Wang , Yingyuan Xiao , Zeng Zhao , Kaixiang Yang

Establishing the correspondences between newly acquired points and historically accumulated data (i.e., map) through nearest neighbors search is crucial in numerous robotic applications. However, static tree data structures are inadequate…

Robotics · Computer Science 2024-03-01 Jun Zhu , Hongyi Li , Zhepeng Wang , Shengjie Wang , Tao Zhang

We present Neural Space-filling Curves (SFCs), a data-driven approach to infer a context-based scan order for a set of images. Linear ordering of pixels forms the basis for many applications such as video scrambling, compression, and…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Hanyu Wang , Kamal Gupta , Larry Davis , Abhinav Shrivastava

Optimization-based 3D object tracking is known to be precise and fast, but sensitive to large inter-frame displacements. In this paper we propose a fast and effective non-local 3D tracking method. Based on the observation that erroneous…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Xuhui Tian , Xinran Lin , Fan Zhong , Xueying Qin

The problem of identifying the k-Nearest Neighbors (kNNS) of a point has proven to be very useful both as a standalone application and as a subroutine in larger applications. Given its far-reaching applicability in areas such as machine…

Machine Learning · Computer Science 2023-05-31 Vani Nagarajan , Durga Mandarapu , Milind Kulkarni

This study introduces a method for efficiently detecting objects within 3D point clouds using convolutional neural networks (CNNs). Our approach adopts a unique feature-centric voting mechanism to construct convolutional layers that…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Tianyi Lyu , Dian Gu , Peiyuan Chen , Yaoting Jiang , Zhenhong Zhang , Huadong Pang , Li Zhou , Yiping Dong

Recent advances in mapping techniques have enabled the creation of highly accurate dense 3D maps during robotic missions, such as point clouds, meshes, or NeRF-based representations. These developments present new opportunities for reusing…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Lintong Zhang , Yifu Tao , Jiarong Lin , Fu Zhang , Maurice Fallon
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