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Since edge detection is in the forefront of image processing for object detection, it is crucial to have a good understanding of edge detection algorithms. The reason for this is that edges form the outline of an object. An edge is the…

Computer Vision and Pattern Recognition · Computer Science 2013-11-22 Shubham Saini , Bhavesh Kasliwal , Shraey Bhatia

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

Used in the paper is an overcomplete piecewise-polynomial image model incorporating sparsity. The paper shows that using such a model, the edges in the image can be resolved robustly with respect to noise. Two variants of the proposed…

Optimization and Control · Mathematics 2018-10-16 Michaela Novosadová , Pavel Rajmic

Unlike ordinary computer vision tasks that focus more on the semantic content of images, the image manipulation detection task pays more attention to the subtle information of image manipulation. In this paper, the noise image extracted by…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Zhongyuan Zhang , Yi Qian , Yanxiang Zhao , Lin Zhu , Jinjin Wang

A new method is proposed to get image features' geometric information. Using Gaussian as an input signal, a theoretical optimal solution to calculate feature's affine shape is proposed. Based on analytic result of a feature model, the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-19 Xiaopeng Xu , Xiaochun Zhang

In Computer Vision, edge detection is one of the favored approaches for feature and object detection in images since it provides information about their objects boundaries. Other region-based approaches use probabilistic analysis such as…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Dominique Beaini , Sofiane Achiche , Fabrice Nonez , Maxime Raison

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

Quantum Sobel edge detection (QSED) is a kind of algorithm for image edge detection using quantum mechanism, which can solve the real-time problem encountered by classical algorithms. However, the existing QSED algorithms only consider two-…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Wenjie Liu , Lu Wang

This paper presents a simple and efficient method to convolve an image with a Gaussian kernel. The computation is performed in a constant number of operations per pixel using running sums along the image rows and columns. We investigate the…

Computer Vision and Pattern Recognition · Computer Science 2011-07-26 Elhanan Elboher , Michael Werman

Choosing the most adequate kernel is crucial in many Machine Learning applications. Gaussian Process is a state-of-the-art technique for regression and classification that heavily relies on a kernel function. However, in the Gaussian…

Machine Learning · Computer Science 2019-10-15 Ibai Roman , Roberto Santana , Alexander Mendiburu , Jose A. Lozano

Phase-Stretch Adaptive Gradient-Field Extractor (PAGE) is an edge detection algorithm that is inspired by physics of electromagnetic diffraction and dispersion. A computational imaging algorithm, it identifies edges, their orientations and…

Image and Video Processing · Electrical Eng. & Systems 2022-02-15 Callen MacPhee , Madhuri Suthar , Bahram Jalali

Edge detection is a very essential part of image processing, as quality and accuracy of detection determines the success of further processing. We have developed a new self learning technique for edge detection using dictionary comprised of…

Computer Vision and Pattern Recognition · Computer Science 2015-09-03 Nitish Chandra , Kedar Khare

Many edge and contour detection algorithms give a soft-value as an output and the final binary map is commonly obtained by applying an optimal threshold. In this paper, we propose a novel method to detect image contours from the extracted…

Computer Vision and Pattern Recognition · Computer Science 2021-05-12 Zahra Mousavi Kouzehkanan , Reshad Hosseini , Babak Nadjar Araabi

Corner detection is widely used in various computer vision tasks, such as image matching and 3D reconstruction. Our research indicates that there are theoretical flaws in Zhang et al.'s use of a simple corner model to obtain a series of…

Computer Vision and Pattern Recognition · Computer Science 2026-01-14 Dongbo Xie , Junjie Qiu , Changming Sun , Weichuan Zhang

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

Edge detection is typically viewed as a pixel-level classification problem mainly addressed by discriminative methods. Recently, generative edge detection methods, especially diffusion model based solutions, are initialized in the edge…

Computer Vision and Pattern Recognition · Computer Science 2024-10-07 Caixia Zhou , Yaping Huang , Mochu Xiang , Jiahui Ren , Haibin Ling , Jing Zhang

The application of quantum computing to the field of image processing has produced several promising applications: quantum image representation techniques have been developed showing how, by taking advantage of quantum properties like…

Quantum Physics · Physics 2020-12-22 Giacomo Cavalieri , Dario Maio

In decision-making systems, it is important to have classifiers that have calibrated uncertainties, with an optimisation objective that can be used for automated model selection and training. Gaussian processes (GPs) provide uncertainty…

Machine Learning · Statistics 2020-03-05 Vincent Dutordoir , Mark van der Wilk , Artem Artemev , James Hensman

Edge detection is a classic problem in the field of image processing, which lays foundations for other tasks such as image segmentation. Conventionally, this operation is performed using gradient operators such as the Roberts or Sobel…

Computer Vision and Pattern Recognition · Computer Science 2017-01-16 Yuan-Hang Zhang , Xie Li , Jing-Yun Xiao

This paper presents an improved edge detection algorithm for facial and remotely sensed images using vector order statistics. The developed algorithm processes colored images directly without been converted to gray scale. A number of the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-20 B O. Sadiq , S. M. Sani , S. Garba