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This paper presents a region-partition based attraction field dual representation for line segment maps, and thus poses the problem of line segment detection (LSD) as the region coloring problem. The latter is then addressed by learning…

Computer Vision and Pattern Recognition · Computer Science 2019-03-07 Nan Xue , Song Bai , Fudong Wang , Gui-Song Xia , Tianfu Wu , Liangpei Zhang

Finding correspondences is a fundamental and extensively researched problem in computer vision and graphics. In this work, we examine the underexplored task of estimating segmentation-to-segmentation correspondence between images in the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Itai Lang , Dongwei Lyu , Dale Decatur , Rana Hanocka

We develop a sketching algorithm to find the point on the convex hull of a dataset, closest to a query point outside it. Studying the convex hull of datasets can provide useful information about their geometric structure and their…

Differential Geometry · Mathematics 2022-03-30 Roozbeh Yousefzadeh

The current state-of-the-art hand gesture recognition methodologies heavily rely in the use of machine learning. However there are scenarios that machine learning cannot be applied successfully, for example in situations where data is…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Michalis Lazarou , Bo Li , Tania Stathaki

The structure representation of data distribution plays an important role in understanding the underlying mechanism of generating data. In this paper, we propose nearest prime simplicial complex approaches (NSC) by utilizing persistent…

Machine Learning · Computer Science 2015-03-19 Junping Zhang , Ziyu Xie , Stan Z. Li

We study the complexity of the following cell connection and separation problems in segment arrangements. Given a set of straight-line segments in the plane and two points $a$ and $b$ in different cells of the induced arrangement: (i)…

Computational Geometry · Computer Science 2011-06-21 Helmut Alt , Sergio Cabello , Panos Giannopoulos , Christian Knauer

Recently, "visual o1" began to enter people's vision, with expectations that this slow-thinking design can solve visual reasoning tasks, especially geometric math problems. However, the reality is that current LVLMs (Large Vision Language…

Computer Vision and Pattern Recognition · Computer Science 2025-01-28 Haoran Wei , Youyang Yin , Yumeng Li , Jia Wang , Liang Zhao , Jianjian Sun , Zheng Ge , Xiangyu Zhang , Daxin Jiang

We propose a new shape analysis approach based on the non-local analysis of local shape variations. Our method relies on a novel description of shape variations, called Local Probing Field (LPF), which describes how a local probing operator…

Computational Geometry · Computer Science 2017-11-03 Julie Digne , Sébastien Valette , Raphaëlle Chaine

The detection of curved lanes is still challenging for autonomous driving systems. Although current cutting-edge approaches have performed well in real applications, most of them are based on strict model assumptions. Similar to other…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Jianhao Jiao , Rui Fan , Han Ma , Ming Liu

Given $n$ line segments in the plane, do they form the edge set of a \emph{weakly simple polygon}; that is, can the segment endpoints be perturbed by at most $\varepsilon$, for any $\varepsilon>0$, to obtain a simple polygon? While the…

Computational Geometry · Computer Science 2018-12-27 Hugo A. Akitaya , Csaba D. Tóth

Current research on visual place recognition mostly focuses on aggregating local visual features of an image into a single vector representation. Therefore, high-level information such as the geometric arrangement of the features is…

Computer Vision and Pattern Recognition · Computer Science 2021-01-22 Felix Taubner , Florian Tschopp , Tonci Novkovic , Roland Siegwart , Fadri Furrer

Image segmentation is a central topic in image processing and computer vision and a key issue in many applications, e.g., in medical imaging, microscopy, document analysis and remote sensing. According to the human perception, image…

Numerical Analysis · Mathematics 2022-06-24 Laura Antonelli , Valentina De Simone , Daniela di Serafino

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

Directed graphs can be partitioned in so-called passages. A passage P is a set of edges such that any two edges sharing the same initial vertex or sharing the same terminal vertex are both inside $P$ or are both outside of P. Passages were…

Discrete Mathematics · Computer Science 2013-04-04 Wil van der Aalst

Instance segmentation is of great importance for many biological applications, such as study of neural cell interactions, plant phenotyping, and quantitatively measuring how cells react to drug treatment. In this paper, we propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Jingru Yi , Pengxiang Wu , Hui Tang , Bo Liu , Qiaoying Huang , Hui Qu , Lianyi Han , Wei Fan , Daniel J. Hoeppner , Dimitris N. Metaxas

Representative Selection (RS) is the problem of finding a small subset of exemplars from a dataset that is representative of the dataset. In this paper, we study RS for attributed graphs, and focus on finding representative nodes that…

We present a novel form of interactive video object segmentation where a few clicks by the user helps the system produce a full spatio-temporal segmentation of the object of interest. Whereas conventional interactive pipelines take the…

Computer Vision and Pattern Recognition · Computer Science 2016-07-06 Suyog Dutt Jain , Kristen Grauman

Learning-based methods for visual segmentation have made progress on particular types of segmentation tasks, but are limited by the necessary supervision, the narrow definitions of fixed tasks, and the lack of control during inference for…

Computer Vision and Pattern Recognition · Computer Science 2018-06-20 Kate Rakelly , Evan Shelhamer , Trevor Darrell , Alexei A. Efros , Sergey Levine

Representing complex shapes with simple primitives in high accuracy is important for a variety of applications in computer graphics and geometry processing. Existing solutions may produce suboptimal samples or are complex to implement. We…

Graphics · Computer Science 2020-12-04 Li-Yi Wei , Arjun V Anand , Shally Kumar , Tarun Beri

We suggest a new algorithm to estimate representations of compact Lie groups from finite samples of their orbits. Different from other reported techniques, our method allows the retrieval of the precise representation type as a direct sum…

Optimization and Control · Mathematics 2025-09-23 Henrique Ennes , Raphaël Tinarrage