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This paper proposes a novel method which combines both median filter and simple standard deviation to accomplish an excellent edge detector for image processing. First of all, a denoising process must be applied on the grey scale image…

Computer Vision and Pattern Recognition · Computer Science 2013-04-24 Firas A. Jassim

Boundary detection has long been a fundamental tool for image processing and computer vision, supporting the analysis of static and time-varying data. In this work, we built upon the theory of Graph Signal Processing to propose a novel…

Graphics · Computer Science 2019-09-10 Luis Gustavo Nonato , Fabiano Petronetto e Claudio Silva

Detecting edges is a fundamental problem in computer vision with many applications, some involving very noisy images. While most edge detection methods are fast, they perform well only on relatively clean images. Indeed, edges in such…

Computer Vision and Pattern Recognition · Computer Science 2021-10-06 Nati Ofir , Meirav Galun , Boaz Nadler , Ronen Basri

The Edge of Stability (EoS) is a phenomenon where the sharpness (largest eigenvalue) of the Hessian approaches and then hovers near the stability threshold $2/\eta$ during gradient descent (GD) with step size $\eta$. Despite (apparently)…

Machine Learning · Computer Science 2026-05-29 Rustem Islamov , Michael Crawshaw , Jeremy Cohen , Robert Gower

In image processing, edge detection is a valuable tool to perform the extraction of features from an image. This detection reduces the amount of information to be processed, since the redundant information (considered less relevant) can be…

Computer Vision and Pattern Recognition · Computer Science 2015-06-17 Lucas Assirati , Núbia R. da Silva , Lilian Berton , Alneu de A. Lopes , Odemir M. Bruno

In a previous paper (gr-qc/0105100) we derived a set of near-optimal signal detection techniques for gravitational wave detectors whose noise probability distributions contain non-Gaussian tails. The methods modify standard methods by…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Bruce Allen , Jolien D. E. Creighton , Eanna E. Flanagan , Joseph D. Romano

Finding important edges in a graph is a crucial problem for various research fields, such as network epidemics, signal processing, machine learning, and sensor networks. In this paper, we tackle the problem based on sampling theory on…

Signal Processing · Electrical Eng. & Systems 2024-07-16 Kenta Yanagiya , Koki Yamada , Yasuo Katsuhara , Tomoya Takatani , Yuichi Tanaka

Semantic boundary and edge detection aims at simultaneously detecting object edge pixels in images and assigning class labels to them. Systematic training of predictors for this task requires the labeling of edges in images which is a…

Computer Vision and Pattern Recognition · Computer Science 2017-06-27 Jing Yu Koh , Wojciech Samek , Klaus-Robert Müller , Alexander Binder

A noise-based non-parametric technique for detecting nebulous objects, for example, irregular or clumpy galaxies, and their structure in noise is introduced. "Noise-based" and "non-parametric" imply that this technique imposes negligible…

Instrumentation and Methods for Astrophysics · Physics 2015-09-08 Mohammad Akhlaghi , Takashi Ichikawa

A fundamental question for edge detection in noisy images is how faint can an edge be and still be detected. In this paper we offer a formalism to study this question and subsequently introduce computationally efficient multiscale edge…

Computer Vision and Pattern Recognition · Computer Science 2021-10-06 Nati Ofir , Meirav Galun , Sharon Alpert , Achi Brandt , Boaz Nadler , Ronen Basri

Edges of an image are considered a crucial type of information. These can be extracted by applying edge detectors with different methodology. Edge detection is a vital step in computer vision tasks, because it is an essential issue for…

Computer Vision and Pattern Recognition · Computer Science 2016-08-10 Osvaldo Pereira , Esley Torre , Yasel Garcés , Roberto Rodríguez

We introduce a novel edge tracing algorithm using Gaussian process regression. Our edge-based segmentation algorithm models an edge of interest using Gaussian process regression and iteratively searches the image for edge pixels in a…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Jamie Burke , Stuart King

In this article, we present a novel scheme for segmenting the image boundary (with the background) in optoacoustic small animal in vivo imaging systems. The method utilizes a multiscale edge detection algorithm to generate a binary edge…

The Gaussian splatting methods are getting popular. However, their loss function only contains the $\ell_1$ norm and the structural similarity between the rendered and input images, without considering the edges in these images. It is…

Computer Vision and Pattern Recognition · Computer Science 2024-04-23 Yuanhao Gong

Based on a nonlocal Laplacian operator, a novel edge detection method of the grayscale image is proposed in this paper. This operator utilizes the information of neighbor pixels for a given pixel to obtain effective and delicate edge…

Numerical Analysis · Mathematics 2021-04-20 Zhonghua Qiao , Qian Zhang

The inability of automated edge detection methods inspired from primal sketch models to accurately calculate object edges under the influence of pixel noise is an open problem. Extending the principles of image perception i.e. Weber-Fechner…

Computer Vision and Pattern Recognition · Computer Science 2015-02-20 Joshin John Mathew , Alex Pappachen James

Edge detection, a basic task in the field of computer vision, is an important preprocessing operation for the recognition and understanding of a visual scene. In conventional models, the edge image generated is ambiguous, and the edge lines…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Dawei Dai , Chunjie Wang , Shuyin Xia , Yingge Liu , Guoyin Wang

Separating a stochastic gravitational wave background (SGWB) from noise is a challenging statistical task. One approach to establishing a detection criterion for the SGWB is using Bayesian evidence. If the evidence ratio (Bayes factor)…

Instrumentation and Methods for Astrophysics · Physics 2025-09-17 Federico Pozzoli , Jonathan Gair , Riccardo Buscicchio , Lorenzo Speri

We describe a novel approach to the detection and parameter estimation of a non\textendash Gaussian stochastic background of gravitational waves. The method is based on the determination of relevant statistical parameters using importance…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Riccardo Buscicchio , Anirban Ain , Matteo Ballelli , Giancarlo Cella , Barbara Patricelli

This paper considers the problem of detecting equal-shaped non-overlapping unimodal peaks in the presence of Gaussian ergodic stationary noise, where the number, location and heights of the peaks are unknown. A multiple testing approach is…

Methodology · Statistics 2010-08-12 Armin Schwartzman , Yulia Gavrilov , Robert J. Adler
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