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The $k$-segmentation of a video stream is used to partition it into $k$ piecewise-linear segments, so that each linear segment has a meaningful interpretation. Such segmentation may be used to summarize large videos using a small set of…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Sabarish Vadarevu , Vijay Karamcheti

The input to the Multiway Cut problem is a weighted undirected graph, with nonnegative edge weights, and $k$ designated terminals. The goal is to partition the vertices of the graph into $k$ parts, each containing exactly one of the…

Data Structures and Algorithms · Computer Science 2026-03-31 Joshua Brakensiek , Neng Huang , Aaron Potechin , Uri Zwick

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

For click-based interactive segmentation methods, reducing the number of clicks required to obtain a desired segmentation result is essential. Although recent click-based methods yield decent segmentation results, we observe that…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Chaewon Lee , Chang-Su Kim

We present a conceptually simple yet effective algorithm to detect wireframes in a given image. Compared to the previous methods which first predict an intermediate heat map and then extract straight lines with heuristic algorithms, our…

Computer Vision and Pattern Recognition · Computer Science 2021-05-06 Yichao Zhou , Haozhi Qi , Yi Ma

This paper studies binary quadratic programs in which the objective is defined by a Euclidean distance matrix, subject to a general polyhedral constraint set. This class of nonconcave maximisation problems includes the capacitated,…

Optimization and Control · Mathematics 2023-09-19 Hoa T. Bui , Sandy Spiers , Ryan Loxton

Triangular meshes are a widely used representation in the field of 3D modeling. In this paper, we present a novel approach for edge length-based linear subdivision on triangular meshes, along with two auxiliary techniques. We conduct a…

Graphics · Computer Science 2023-10-04 Junyi Shen

In this work we provide a new technique to design fast approximation algorithms for graph problems where the points of the graph lie in a metric space. Specifically, we present a sampling approach for such metric graphs that, using a…

Data Structures and Algorithms · Computer Science 2018-07-26 Hossein Esfandiari , Michael Mitzenmacher

An efficient computer algorithm is described for the perspective drawing of a wide class of surfaces. The class includes surfaces corresponding lo single-valued, continuous functions which are defined over rectangular domains. The algorithm…

Graphics · Computer Science 2011-07-29 Ignacio Vega-Paez , Jose Angel Ortega , Georgina G. Pulido

While well-known methods to list the intersections of either a list of segments or a complex polygon aim at achieving optimal time-complexity they often do so at the cost of memory comsumption and complex code. Real-life software…

Computational Geometry · Computer Science 2013-05-28 Jean Souviron

We present the novel Efficient Line Segment Detector and Descriptor (ELSD) to simultaneously detect line segments and extract their descriptors in an image. Unlike the traditional pipelines that conduct detection and description separately,…

Computer Vision and Pattern Recognition · Computer Science 2021-04-30 Haotian Zhang , Yicheng Luo , Fangbo Qin , Yijia He , Xiao Liu

In the point set embeddability problem, we are given a plane graph $G$ with $n$ vertices and a point set $S$ with $n$ points. Now the goal is to answer the question whether there exists a straight-line drawing of $G$ such that each vertex…

Computational Geometry · Computer Science 2020-05-13 Tanaeem M. Moosa , M. Sohel Rahman

Region extraction is a very common task in both Computer Science and Engineering with several applications in object recognition and motion analysis, among others. Most of the literature focuses on regions delimited by straight lines, often…

Numerical Analysis · Mathematics 2021-12-07 Pablo Antolin , Annalisa Buffa , Emiliano Cirillo

Extracting cohesive subgraphs from complex networks is a fundamental task in graph analytics and is essential for understanding biological, social, and web graphs. The edge-based $\gamma$-quasi-clique model offers a flexible alternative by…

Social and Information Networks · Computer Science 2026-01-22 Hongbo Xia , Shengxin Liu , Zhaoquan Gu

Traditional frameworks for dynamic graphs have relied on processing only the stream of edges added into or deleted from an evolving graph, but not any additional related information such as the degrees or neighbor lists of nodes incident to…

Social and Information Networks · Computer Science 2018-03-01 Guyue Han , Harish Sethu

We propose a new algorithm for finding the center of a graph, as well as the rank of each node in the hierarchy of distances to the center. In other words, our algorithm allows to partition the graph according to nodes distance to the…

Data Structures and Algorithms · Computer Science 2019-10-08 Frédéric Protin

Edge detection is a fundamental problem in different computer vision tasks. Recently, edge detection algorithms achieve satisfying improvement built upon deep learning. Although most of them report favorable evaluation scores, they often…

Computer Vision and Pattern Recognition · Computer Science 2020-07-27 Luyan Liu , Kai Ma , Yefeng Zheng

Recent microscopy imaging techniques allow to precisely analyze cell morphology in 3D image data. To process the vast amount of image data generated by current digitized imaging techniques, automated approaches are demanded more than ever.…

Computer Vision and Pattern Recognition · Computer Science 2020-10-26 Dennis Eschweiler , Malte Rethwisch , Simon Koppers , Johannes Stegmaier

The orienteering problem is a route optimization problem which consists in finding a simple cycle that maximizes the total collected profit subject to a maximum distance limitation. In the last few decades, the occurrence of this problem in…

Optimization and Control · Mathematics 2021-01-14 Gorka Kobeaga , María Merino , Jose A. Lozano

We present an innovative algorithm that simplifies the topology of a cross-field. Our algorithm works through macro-operations that allow us editing the graph of separatrices, which is extracted from a cross-field, while maintaining it…

Computational Geometry · Computer Science 2010-10-15 Daniele Panozzo , Enrico Puppo