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We focus on a fundamental task of detecting meaningful line structures, a.k.a. semantic line, in natural scenes. Many previous methods regard this problem as a special case of object detection and adjust existing object detectors for…

Computer Vision and Pattern Recognition · Computer Science 2021-05-04 Kai Zhao , Qi Han , Chang-Bin Zhang , Jun Xu , Ming-Ming Cheng

This paper studies graph-based active learning, where the goal is to reconstruct a binary signal defined on the nodes of a weighted graph, by sampling it on a small subset of the nodes. A new sampling algorithm is proposed, which…

Machine Learning · Computer Science 2016-05-19 Eyal En Gad , Akshay Gadde , A. Salman Avestimehr , Antonio Ortega

We propose a novel method for large-scale image stitching that is robust against repetitive patterns and featureless regions in the imagery. In such cases, state-of-the-art image stitching methods easily produce image alignment artifacts,…

Computer Vision and Pattern Recognition · Computer Science 2021-07-29 Matti Pellikka , Valtteri Lahtinen

Graphs are widely used for describing systems made up of many interacting components and for understanding the structure of their interactions. Various statistical models exist, which describe this structure as the result of a combination…

Methodology · Statistics 2021-06-28 Louis Duvivier , Rémy Cazabet , Céline Robardet

A visualized graph is a powerful tool for data analysis and synthesis tasks. In this case, the task of visualization constitutes not only in displaying vertices and edges according to the graph representation, but also in ensuring that the…

Combinatorics · Mathematics 2024-08-01 Sergey Kurapov , Maxim Davidovsky

In this work we propose a one-class self-supervised method for anomaly segmentation in images that benefits both from a modern machine learning approach and a more classic statistical detection theory. The method consists of four phases.…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Matías Tailanian , Álvaro Pardo , Pablo Musé

Image segmentation is a crucial step in a wide range of method image processing systems. It is useful in visualization of the different objects present in the image. In spite of the several methods available in the literature, image…

Computer Vision and Pattern Recognition · Computer Science 2013-07-18 I. Laurence Aroquiaraj , K. Thangavel

We consider the inverse problem for countable, locally finite electrical networks with edge weights in an arbitrary field. The electrical inverse problem seeks to determine the weights of the edges knowing only the potential and current…

Combinatorics · Mathematics 2016-05-31 David Jekel

Tight-frame, a generalization of orthogonal wavelets, has been used successfully in various problems in image processing, including inpainting, impulse noise removal, super-resolution image restoration, etc. Segmentation is the process of…

Numerical Analysis · Mathematics 2015-03-19 Xiaohao Cai , Raymond Chan , Serena Morigi , Fiorella Sgallari

Line segment detection is an essential task in computer vision and image analysis, as it is the critical foundation for advanced tasks such as shape modeling and road lane line detection for autonomous driving. We present a robust…

Computer Vision and Pattern Recognition · Computer Science 2020-03-02 Ming Gong , Liping Yang , Catherine Potts , Vijayan K. Asari , Diane Oyen , Brendt Wohlberg

Image segmentation is a fundamental and challenging task in image processing and computer vision. The color image segmentation is attracting more attention due to the color image provides more information than the gray image. In this paper,…

Image and Video Processing · Electrical Eng. & Systems 2021-03-18 Tingting Wu , Xiaoyu Gu , Jinbo Shao , Ruoxuan Zhou , Zhi Li

Many discrete optimization problems amount to selecting a feasible set of edges of least weight. We consider in this paper the context of spatial graphs where the positions of the vertices are uncertain and belong to known uncertainty sets.…

Data Structures and Algorithms · Computer Science 2022-09-27 Marin Bougeret , Jérémy Omer , Michael Poss

We propose and study two variants of the Ambrosio-Tortorelli functional where the first-order penalization of the edge variable $v$ is replaced by a second-order term depending on the Hessian or on the Laplacian of $v$, respectively. We…

Analysis of PDEs · Mathematics 2015-04-21 Martin Burger , Teresa Esposito , Caterina Zeppieri

In this paper, we propose an adaptive finite difference scheme in order to numerically solve total variation type problems for image processing tasks. The automatic generation of the grid relies on indicators derived from a local estimation…

Numerical Analysis · Mathematics 2024-10-18 Thomas Jacumin , Andreas Langer

Detecting anomalies in a temporal sequence of graphs can be applied is areas such as the detection of accidents in transport networks and cyber attacks in computer networks. Existing methods for detecting abnormal graphs can suffer from…

Machine Learning · Computer Science 2025-02-03 Sevvandi Kandanaarachchi , Conrad Sanderson , Rob J. Hyndman

Cloth detection and manipulation is a common task in domestic and industrial settings, yet such tasks remain a challenge for robots due to cloth deformability. Furthermore, in many cloth-related tasks like laundry folding and bed making, it…

Robotics · Computer Science 2021-06-17 Jianing Qian , Thomas Weng , Luxin Zhang , Brian Okorn , David Held

Automatically determining the number of intrinsic mode functions (IMFs) and their center frequencies in Variational Mode Decomposition (VMD) remains an open mathematical challenge. Existing methods rely on heuristic settings,…

Mathematical Physics · Physics 2026-05-04 Chenjie Zhong , Zhipeng Li , Shangzhi Xu , Xiaohu Li , Luodan Zhang , Jianjun Yuan

Many real-world phenomena exhibit strong hierarchical structure. Consequently, in many real-world directed social networks vertices do not play equal role. Instead, vertices form a hierarchy such that the edges appear mainly from upper…

Data Structures and Algorithms · Computer Science 2019-02-06 Nikolaj Tatti

There is a limitation in the size of an image that can be processed using computationally demanding methods such as e.g. Convolutional Neural Networks (CNNs). Some imaging modalities - notably biological and medical - can result in images…

Image and Video Processing · Electrical Eng. & Systems 2020-07-01 Nicolas Pielawski , Carolina Wählby

In the present paper we consider the varying coefficient model which represents a useful tool for exploring dynamic patterns in many applications. Existing methods typically provide asymptotic evaluation of precision of estimation…

Statistics Theory · Mathematics 2013-02-07 Olga Klopp , Marianna Pensky