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This paper proposes an efficient data structure, ikd-Tree, for dynamic space partition. The ikd-Tree incrementally updates a k-d tree with new coming points only, leading to much lower computation time than existing static k-d trees.…

机器人学 · 计算机科学 2021-02-23 Yixi Cai , Wei Xu , Fu Zhang

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…

计算几何 · 计算机科学 2025-07-30 Pengfei Wang , Jiantao Song , Shiqing Xin , Shuangmin Chen , Changhe Tu , Wenping Wang , Jiaye Wang

We present a dynamic self-balancing octree data structure that enables efficient neighborhood maintenance in evolving metric spaces, a key challenge in modern machine learning systems. Many learning and generative models operate as…

机器学习 · 计算机科学 2025-04-28 Aditya S Ellendula , Chandrajit Bajaj

Dynamic tree data structures maintain a forest while supporting insertion and deletion of edges and a broad set of queries in $O(\log n)$ time per operation. Such data structures are at the core of many modern algorithms. Recent work has…

数据结构与算法 · 计算机科学 2025-06-23 Humza Ikram , Andrew Brady , Daniel Anderson , Guy Blelloch

We propose an extension of tree-based space-partitioning indexing structures for data with low intrinsic dimensionality embedded in a high dimensional space. We call this extension an Angle Tree. Our extension can be applied to both…

数据结构与算法 · 计算机科学 2010-04-19 Ilia Zvedeniouk , Sanjay Chawla

We present an MPI-parallel algorithm for the in-situ visualization of computational data that is built around a distributed linear forest-of-octrees data structure. Such octrees are frequently used in element-based numerical simulations;…

分布式、并行与集群计算 · 计算机科学 2018-09-06 Carsten Burstedde

We present a scalable approach for range and $k$ nearest neighbor queries under computationally expensive metrics, like the continuous Fr\'echet distance on trajectory data. Based on clustering for metric indexes, we obtain a dynamic tree…

计算几何 · 计算机科学 2021-12-14 Joachim Gudmundsson , Michael Horton , John Pfeifer , Martin P. Seybold

When introducing physics-constrained deep learning solutions to the volumetric super-resolution of scientific data, the training is challenging to converge and always time-consuming. We propose a new hierarchical sampling method based on…

计算物理 · 物理学 2023-06-09 Xinjie Wang , Maoquan Sun , Yundong Guo , Chunxin Yuan , Xiang Sun , Zhiqiang Wei , Xiaogang Jin

A common problem appearing across the field of data science is $k$-NN ($k$-nearest neighbours), particularly within the context of Geographic Information Systems. In this article, we present a novel data structure, the GeoTree, which holds…

数据结构与算法 · 计算机科学 2020-08-06 Robert Miller , Phil Maguire

The dynamic trees problem is to maintain a tree under edge updates while supporting queries like connectivity queries or path queries. Despite the first data structure for this fundamental problem -- the link-cut tree -- being invented 40…

数据结构与算法 · 计算机科学 2026-01-16 Quinten De Man , Atharva Sharma , Kishen N Gowda , Laxman Dhulipala

Innovative shared mobility services provide on-demand flexible mobility options and have the potential to alleviate traffic congestion. These attractive services are challenging from different perspectives. One major challenge in such…

数据结构与算法 · 计算机科学 2020-05-25 Rui Yao , Shlomo Bekhor

The need for scalable concurrent ordered set data structures with linearizable range query support is increasing due to the rise of multicore computers, data processing platforms and in-memory databases. This paper presents a new concurrent…

分布式、并行与集群计算 · 计算机科学 2017-09-05 Kjell Winblad

We introduce top trees as a design of a new simpler interface for data structures maintaining information in a fully-dynamic forest. We demonstrate how easy and versatile they are to use on a host of different applications. For example, we…

数据结构与算法 · 计算机科学 2007-05-23 Stephen Alstrup , Jacob Holm , Kristian de Lichtenberg , Mikkel Thorup

As data volumes continue to grow rapidly, traditional search algorithms, like the red-black tree and B+ Tree, face increasing challenges in performance, especially in big data scenarios with intensive storage access. This paper presents the…

数据库 · 计算机科学 2025-04-02 Songpeng Liu

We present a hybrid multi-volume rendering approach based on a novel Residency Octree that combines the advantages of out-of-core volume rendering using page tables with those of standard octrees. Octree approaches work by performing…

In this paper we propose a new method called ND-Tree-based update (or shortly ND-Tree) for the dynamic non-dominance problem, i.e. the problem of online update of a Pareto archive composed of mutually non-dominated points. It uses a new…

数据结构与算法 · 计算机科学 2017-11-08 Andrzej Jaszkiewicz , Thibaut Lust

Answering connectivity queries is fundamental to fully dynamic graphs where edges and vertices are inserted and deleted frequently. Existing work proposes data structures and algorithms with worst-case guarantees. We propose a new data…

数据结构与算法 · 计算机科学 2022-07-19 Qing Chen , Oded Lachish , Sven Helmer , Michael Böhlen

We present a novel deep compression algorithm to reduce the memory footprint of LiDAR point clouds. Our method exploits the sparsity and structural redundancy between points to reduce the bitrate. Towards this goal, we first encode the…

图像与视频处理 · 电气工程与系统科学 2021-01-12 Lila Huang , Shenlong Wang , Kelvin Wong , Jerry Liu , Raquel Urtasun

Searching spatial data is an important operation for scientific simulations which are performed mostly with periodic boundary conditions. An R-Tree is a well known tree data structure used to contain spatial objects and it is capable of…

数据结构与算法 · 计算机科学 2017-12-11 Toru Niina

Efficient spatial indexing is crucial for processing large-scale spatial data. Traditional spatial indexes, such as STR-Tree and Quad-Tree, organize spatial objects based on coarse approximations, such as their minimum bounding rectangles…

数据库 · 计算机科学 2026-03-10 Xiangyang Yang , Xuefeng Guan , Lanxue Dang , Yi Xie , Qingyang Xu , Huayi Wu , Jiayao Wang
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