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In the study of high-dimensional data, it is often assumed that the data set possesses an underlying lower-dimensional structure. A practical model for this structure is an embedded compact manifold with boundary. Since the underlying…

Machine Learning · Statistics 2025-08-22 Pei-Cheng Kuo , Nan Wu

For tiny obstacle discovery in a monocular image, edge is a fundamental visual element. Nevertheless, because of various reasons, e.g., noise and similar color distribution with background, it is still difficult to detect the edges of tiny…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Feng Xue , Anlong Ming , Menghan Zhou , Yu Zhou

We propose a multiscale method for mixed-dimensional elliptic problems with highly heterogeneous coefficients arising, for example, in the modeling of fractured porous media. The method is based on the Localized Orthogonal Decomposition…

Numerical Analysis · Mathematics 2026-03-23 Moritz Hauck , Axel Målqvist , Malin Mosquera

Image segmentation is an essential component in many image processing and computer vision tasks. The primary goal of image segmentation is to simplify an image for easier analysis, and there are two broad approaches for achieving this: edge…

Computer Vision and Pattern Recognition · Computer Science 2021-12-24 J. N. Mueller , J. N. Corcoran

Edge detection is a fundamental image analysis task that underpins numerous high-level vision applications. Recent advances in Transformer architectures have significantly improved edge quality by capturing long-range dependencies, but this…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Yuhan Gao , Xinqing Li , Xin He , Bing Li , Xinzhong Zhu , Ming-Ming Cheng , Yun Liu

Edge points on 3D point clouds can clearly convey 3D geometry and surface characteristics, therefore, edge detection is widely used in many vision applications with high industrial and commercial demands. However, the fine-grained edge…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Yifei Xie , Zhikun Tu , Tong Yang , Yuhe Zhang , Xinyu Zhou

This paper investigates a fully unsupervised statistical method for edge preserving image restoration and compression using a spatial decomposition scheme. Smoothed maximum likelihood is used for local estimation of edge pixels from mixture…

Methodology · Statistics 2016-11-26 Kinjal Basu , Debapriya Sengupta

Machine learning at the edge offers great benefits such as increased privacy and security, low latency, and more autonomy. However, a major challenge is that many devices, in particular edge devices, have very limited memory, weak…

Machine Learning · Computer Science 2019-09-05 Yang Li , Thomas Strohmer

This paper presents a novel context-aware image denoising algorithm that combines an adaptive image smoothing technique and color reduction techniques to remove perturbation from adversarial images. Adaptive image smoothing is achieved…

Computer Vision and Pattern Recognition · Computer Science 2021-01-18 Li-Yun Wang , Yeganeh Jalalpour , Wu-chi Feng

The importance of developing efficient image denoising methods is immense especially for modern applications such as image comparisons, image monitoring, medical image diagnostics, and so forth. Available methods in the vast literature on…

Applications · Statistics 2025-08-26 Subhasish Basak , Partha Sarathi Mukherjee

Image processing and edge detection are at the core of several newly emerging technologies, such as augmented reality, autonomous driving and more generally object recognition. Image processing is typically performed digitally using…

In this survey we present a complete landscape of joint object detection and pose estimation methods that use monocular vision. Descriptions of traditional approaches that involve descriptors or models and various estimation methods have…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Aniruddha V Patil , Pankaj Rabha

In recent years, compact and efficient scene understanding representations have gained popularity in increasing situational awareness and autonomy of robotic systems. In this work, we illustrate the concept of a panoptic edge segmentation…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Yang Zhou , Giuseppe Loianno

In clinical practice, regions of interest in medical imaging often need to be identified through a process of precise image segmentation. The quality of this image segmentation step critically affects the subsequent clinical assessment of…

Image and Video Processing · Electrical Eng. & Systems 2021-03-23 João B. S. Carvalho , João A. Santinha , Đorđe Miladinović , Joachim M. Buhmann

Edge theories of symmetry-protected topological phases are well-known to possess global symmetry anomalies. In this work we focus on two-dimensional bosonic phases protected by an on-site symmetry and analyse the corresponding edge…

Strongly Correlated Electrons · Physics 2018-04-12 Nick Bultinck , Robijn Vanhove , Jutho Haegeman , Frank Verstraete

Recent advances in the area of plane segmentation from single RGB images show strong accuracy improvements and now allow a reliable segmentation of indoor scenes into planes. Nonetheless, fine-grained details of these segmentation masks are…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Alexander Naumann , Laura Dörr , Niels Ole Salscheider , Kai Furmans

Graph anomaly detection is a popular and vital task in various real-world scenarios, which has been studied for several decades. Recently, many studies extending deep learning-based methods have shown preferable performance on graph anomaly…

Machine Learning · Computer Science 2025-05-13 Jing Ren , Mingliang Hou , Zhixuan Liu , Xiaomei Bai

In this paper we propose an algorithm for the detection of edges in images that is based on topological asymptotic analysis. Motivated from the Mumford--Shah functional, we consider a variational functional that penalizes oscillations…

Numerical Analysis · Mathematics 2013-06-12 E. Beretta , M. Grasmair , M. Muszkieta , O. Scherzer

We discuss a general framework for recovering edges in piecewise smooth functions with finitely many jump discontinuities, where $[f](x):=f(x+)-f(x-) \neq 0$. Our approach is based on two main aspects--localization using appropriate…

Numerical Analysis · Mathematics 2025-10-20 Anne Gelb , Eitan Tadmor

Point clouds obtained from 3D scans are typically sparse, irregular, and noisy, and required to be consolidated. In this paper, we present the first deep learning based edge-aware technique to facilitate the consolidation of point clouds.…

Computer Vision and Pattern Recognition · Computer Science 2018-07-18 Lequan Yu , Xianzhi Li , Chi-Wing Fu , Daniel Cohen-Or , Pheng-Ann Heng
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