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We present multiresolution tree-structured networks to process point clouds for 3D shape understanding and generation tasks. Our network represents a 3D shape as a set of locality-preserving 1D ordered list of points at multiple…

Computer Vision and Pattern Recognition · Computer Science 2018-07-13 Matheus Gadelha , Rui Wang , Subhransu Maji

The Steiner tree problem aims to determine a minimum edge-weighted tree that spans a given set of terminal vertices from a given graph. In the past decade, a considerable number of algorithms have been developed to solve this…

Data Structures and Algorithms · Computer Science 2024-08-23 Ming Sun , Xinyu Wu , Yi Zhou , Jin-Kao Hao , Zhang-Hua Fu

Earth's forests play an important role in the fight against climate change, and are in turn negatively affected by it. Effective monitoring of different tree species is essential to understanding and improving the health and biodiversity of…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Venkatesh Ramesh , Arthur Ouaknine , David Rolnick

Accurate tree segmentation is a key step in extracting individual tree metrics from forest laser scans, and is essential to understanding ecosystem functions in carbon cycling and beyond. Over the past decade, tree segmentation algorithms…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Yihang She , Andrew Blake , David Coomes , Srinivasan Keshav

We consider the problem of finding an accurate representation of neuron shapes, extracting sub-cellular features, and classifying neurons based on neuron shapes. In neuroscience research, the skeleton representation is often used as a…

Computer Vision and Pattern Recognition · Computer Science 2022-12-15 Jiaxiang Jiang , Michael Goebel , Cezar Borba , William Smith , B. S. Manjunath

Learning discriminative global features plays a vital role in semantic segmentation. And most of the existing methods adopt stacks of local convolutions or non-local blocks to capture long-range context. However, due to the absence of…

Computer Vision and Pattern Recognition · Computer Science 2019-09-30 Lin Song , Yanwei Li , Zeming Li , Gang Yu , Hongbin Sun , Jian Sun , Nanning Zheng

Connected operators are filtering tools that act by merging elementary regions of an image. A popular strategy is based on tree-based image representations: for example, one can compute an attribute on each node of the tree and keep only…

Computer Vision and Pattern Recognition · Computer Science 2012-07-17 Yongchao Xu , Thierry Géraud , Laurent Najman

Treemaps are a popular technique to visualize hierarchical data. The input is a weighted tree $\tree$ where the weight of each node is the sum of the weights of its children. A treemap for $\tree$ is a hierarchical partition of a rectangle…

Computational Geometry · Computer Science 2015-03-17 Mark de Berg , Bettina Speckmann , Vincent van der Weele

The top tree data structure is an important and fundamental tool in dynamic graph algorithms. Top trees have existed for decades, and today serve as an ingredient in many state-of-the-art algorithms for dynamic graphs. In this work, we give…

Data Structures and Algorithms · Computer Science 2023-02-07 Jacob Holm , Eva Rotenberg , Alice Ryhl

3D modeling of non-linear objects from stylized sketches is a challenge even for experts in Computer Graphics (CG). The extrapolation of objects parameters from a stylized sketch is a very complex and cumbersome task. In the present study,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-11 Gilda Manfredi , Nicola Capece , Ugo Erra , Monica Gruosso

In this paper, we propose a method for generating a hierarchical, volumetric topological map from 3D point clouds. There are three basic hierarchical levels in our map: $storey - region - volume$. The advantages of our method are reflected…

Robotics · Computer Science 2021-11-25 Zhenpeng He , Hao Sun , Jiawei Hou , Yajun Ha , Sören Schwertfeger

In the dynamic tree problem the goal is the maintenance of an arbitrary n-vertex forest, where the trees are subject to joining and splitting by, respectively, adding and removing edges. Depending on the application, information can be…

Data Structures and Algorithms · Computer Science 2015-09-23 Gabriele Farina , Luigi Laura

We face a need of discovering a pattern in locations of a great number of points in a high-dimensional space. Goal is to group the close points together. We are interested in a hierarchical structure, like a B-tree. B-Trees are…

Data Structures and Algorithms · Computer Science 2016-07-19 Victor Sadikov , Oliver Rutishauser

Visual information plays an indispensable role in our daily interactions with environment. Such information is manipulated for a wide range of purposes spanning from basic object and material perception to complex gesture interpretations.…

Computer Vision and Pattern Recognition · Computer Science 2017-09-04 Vahid Jalili

Recent work has established that large informatics graphs such as social and information networks have non-trivial tree-like structure when viewed at moderate size scales. Here, we present results from the first detailed empirical…

Data Structures and Algorithms · Computer Science 2016-05-04 Aaron B. Adcock , Blair D. Sullivan , Michael W. Mahoney

Tree-based machine learning models such as random forests, decision trees, and gradient boosted trees are the most popular non-linear predictive models used in practice today, yet comparatively little attention has been paid to explaining…

In this paper we offer a new perspective on the well established agglomerative clustering algorithm, focusing on recovery of hierarchical structure. We recommend a simple variant of the standard algorithm, in which clusters are merged by…

Machine Learning · Statistics 2024-03-04 Annie Gray , Alexander Modell , Patrick Rubin-Delanchy , Nick Whiteley

In this paper, we investigate adaptive nonlinear regression and introduce tree based piecewise linear regression algorithms that are highly efficient and provide significantly improved performance with guaranteed upper bounds in an…

Machine Learning · Computer Science 2013-12-30 N. Denizcan Vanli , Suleyman S. Kozat

Segmenting tree structures is common in several image processing applications. In medical image analysis, reliable segmentations of airways, vessels, neurons and other tree structures can enable important clinical applications. We present a…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Raghavendra Selvan , Jens Petersen , Jesper H. Pedersen , Marleen de Bruijne

Tables present summarized and structured information to the reader, which makes table structure extraction an important part of document understanding applications. However, table structure identification is a hard problem not only because…

Computer Vision and Pattern Recognition · Computer Science 2020-02-07 Saqib Ali Khan , Syed Muhammad Daniyal Khalid , Muhammad Ali Shahzad , Faisal Shafait