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The analysis of complex nonlinear systems is often carried out using simpler piecewise linear representations of them. A principled and practical technique is proposed to linearize and evaluate arbitrary continuous nonlinear functions using…

Optimization and Control · Mathematics 2017-11-10 Guillermo Gallego , Daniel Berjón , Narciso García

We propose a machine learning based approach for automatic regularization and polygonization of building segmentation masks. Taking an image as input, we first predict building segmentation maps exploiting generic fully convolutional…

Computer Vision and Pattern Recognition · Computer Science 2020-12-18 Stefano Zorzi , Ksenia Bittner , Friedrich Fraundorfer

Given a set $P$ of $n$ points in the plane, its separability is the minimum number of lines needed to separate all its pairs of points from each other. We show that the minimum number of lines needed to separate $n$ points, picked randomly…

Computational Geometry · Computer Science 2017-06-08 Sariel Har-Peled , Mitchell Jones

This paper attacks the following problem. We are given a large number $N$ of rectangles in the plane, each with horizontal and vertical sides, and also a number $r<N$. The given list of $N$ rectangles may contain duplicates. The problem is…

Data Structures and Algorithms · Computer Science 2017-03-28 David B. A. Epstein , Mike Paterson

Visibility graph of a simple polygon is a graph with the same vertex set in which there is an edge between a pair of vertices if and only if the segment through them lies completely inside the polygon. Each pair of adjacent vertices on the…

Computational Geometry · Computer Science 2020-02-18 Hossein Boomari Soheila Farokhi

We present an algorithm for detecting basepoints of linear series of curves in the plane. Moreover, we give an algorithm for constructing a linear series of curves in the plane for given basepoints. The underlying method of these algorithms…

Algebraic Geometry · Mathematics 2018-05-10 Niels Lubbes

We consider a natural variation of the concept of stabbing a segment by a simple polygon: a segment is stabbed by a simple polygon $\mathcal{P}$ if at least one of its two endpoints is contained in $\mathcal{P}$. A segment set $S$ is…

Computational Complexity · Computer Science 2014-06-23 José Miguel Díaz-Báñez , Matias Korman , Pablo Pérez-Lantero , Alexander Pilz , Carlos Seara , Rodrigo I. Silveira

We study the problem of planning paths for a team of robots for visually monitoring an environment. Our work is motivated by surveillance and persistent monitoring applications. We are given a set of target points in a polygonal environment…

Robotics · Computer Science 2016-12-13 Pratap Tokekar , Ashish Kumar Budhiraja , Vijay Kumar

Object detection is one of the most important and challenging branches of computer vision, which has been widely applied in peoples life, such as monitoring security, autonomous driving and so on, with the purpose of locating instances of…

Computer Vision and Pattern Recognition · Computer Science 2019-10-18 Licheng Jiao , Fan Zhang , Fang Liu , Shuyuan Yang , Lingling Li , Zhixi Feng , Rong Qu

A hidden guard set $ G $ is a set of point guards in polygon $ P $ that all points of the polygon are visible from some guards in $ G $ under the constraint that no two guards may see each other. In this paper, we consider the problem for…

Computational Geometry · Computer Science 2017-08-22 Hamid Hoorfar , Alireza Bagheri

"Wireframe" is a line segment based representation designed to well capture large-scale visual properties of regular, structural shaped man-made scenes surrounding us. Unlike the wireframes, conventional edges or line segments focus on all…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Naejin Kong , Kiwoong Park , Harshith Goka

Line segment detection plays a cornerstone role in computer vision tasks. Among numerous detection methods that have been recently proposed, the ones based on edge drawing attract increasing attention owing to their excellent detection…

Computer Vision and Pattern Recognition · Computer Science 2023-05-11 Xinyu Lin , Yingjie Zhou , Yipeng Liu , Ce Zhu

This paper presents a real-time solution for collision detection between objects based on the physics properties. Traditional approaches on collision detection often rely on the geometric relationships that computing the intersections…

Computational Geometry · Computer Science 2016-05-10 Claudio Paglia

Network motif provides a way to uncover the basic building blocks of most complex networks. This task usually demands high computer processing, specially for motif with 5 or more vertices. This paper presents an extended methodology with…

Data Structures and Algorithms · Computer Science 2018-04-27 Luis A. A. Meira , Vinícius R. Máximo , Alvaro L. Fazenda , Arlindo F. da Conceição

This paper proposes an algorithm for clipping line segment against an axis-aligned rectangular window. The conventional algorithms for line segment clipping treat the clipping boundary and/or the line segment to be clipped as line. The…

Graphics · Computer Science 2026-05-01 Bimal Kumar Ray

In this paper we use a new logarithmic model of image representation, developed in [1,2], for edge detection. In fact, in the framework of the new model we obtain the formulas for computing the "contrast of a pixel" and the "contrast" image…

Computer Vision and Pattern Recognition · Computer Science 2014-12-19 Vasile Patrascu

In complex plasmas, the behavior of freely floating micrometer sized particles is studied. The particles can be directly visualized and recorded by digital video cameras. To analyze the dynamics of single particles, reliable algorithms are…

Plasma Physics · Physics 2018-02-14 Daniel P. Mohr , Christina A. Knapek , Peter Huber , Erich Zaehringer

We consider detecting objects in an image by iteratively selecting from a set of arbitrarily shaped candidate regions. Our generic approach, which we term visual chunking, reasons about the locations of multiple object instances in an image…

Computer Vision and Pattern Recognition · Computer Science 2015-03-18 Nicholas Rhinehart , Jiaji Zhou , Martial Hebert , J. Andrew Bagnell

Face recognition is a popular application of pat- tern recognition methods, and it faces challenging problems including illumination, expression, and pose. The most popular way is to learn the subspaces of the face images so that it could…

Computer Vision and Pattern Recognition · Computer Science 2014-02-25 Huanguo Zhang , Sha Lv , Wei Li , Xun Qu

Many algorithms for clipping a line by a rectangular area or a convex polygon in E2 or by a non-convex or convex polyhedron in E3 have been published. The line segment clipping by the rectangular window in E2 is often restricted to the use…

Computational Geometry · Computer Science 2022-01-04 Vaclav Skala , Duc Huy Bui
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