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The Hough transform (HT) is a fundamental tool across various domains, from classical image analysis to neural networks and tomography. Two key aspects of the algorithms for computing the HT are their computational complexity and accuracy -…

计算机视觉与模式识别 · 计算机科学 2025-09-03 Danil Kazimirov , Dmitry Nikolaev

Hough transform is a popular low-level computer vision algorithm. Its computationally effective modification, Fast Hough transform (FHT), makes use of special subsets of image matrix to approximate geometric lines on it. Because of their…

计算机视觉与模式识别 · 计算机科学 2017-12-18 E. I. Ershov , S. M. Karpenko

It is demonstrated that the classical Hough transform with shift-elevation parametrization of digital straight lines has additive complexity of at most $\mathcal{O}(n^3 / \log n)$ on a $n\times n$ image. The proof is constructive and uses…

计算复杂性 · 计算机科学 2018-02-20 Timur M. Khanipov

Nowadays, the Hough (discrete Radon) transform (HT/DRT) has proved to be an extremely powerful and widespread tool harnessed in a number of application areas, ranging from general image processing to X-ray computed tomography. Efficient…

计算机视觉与模式识别 · 计算机科学 2024-11-13 Danil Kazimirov , Dmitry Nikolaev , Ekaterina Rybakova , Arseniy Terekhin

A new transform over finite fields, the finite field Hartley transform (FFHT), was recently introduced and a number of promising applications on the design of efficient multiple access systems and multilevel spread spectrum sequences were…

数值分析 · 计算机科学 2015-02-06 H. M. de Oliveira , R. G. F. Távora , R. J. Cintra , R. M. Campello de Souza

The majority of document image analysis systems use a document skew detection algorithm to simplify all its further processing stages. A huge amount of such algorithms based on Hough transform (HT) analysis has already been proposed.…

计算机视觉与模式识别 · 计算机科学 2019-12-06 Pavel Bezmaternykh , Dmitry Nikolaev

This article pursues a statistical study of the Hough transform, the celebrated computer vision algorithm used to detect the presence of lines in a noisy image. We first study asymptotic properties of the Hough transform estimator, whose…

统计理论 · 数学 2007-06-13 Alexander Goldenshluger , Assaf Zeevi

In the framework of the Hough transform technique to detect curves in images, we provide a bound for the number of Hough transforms to be considered for a successful optimization of the accumulator function in the recognition algorithm.…

计算机视觉与模式识别 · 计算机科学 2019-04-05 Mauro C. Beltrametti , Cristina Campi , Anna Maria Massone , Maria-Laura Torrente

The Hough transform is one of the most common methods for line detection. In this paper we propose a novel extension of the regular Hough transform. The proposed extension combines the extension of the accumulator space and the local…

计算机视觉与模式识别 · 计算机科学 2015-10-19 Tomislav Petković , Sven Lončarić

The main purpose of this paper is to lay the foundations of a general theory which encompasses the features of the classical Hough transform and extend them to general algebraic objects such as affine schemes. The main motivation comes from…

交换代数 · 数学 2012-02-09 Mauro C. Beltrametti , Lorenzo Robbiano

Many techniques have been proposed to speedup the performance of classic Hough Transform. These techniques are primarily based on converting the voting procedure to a hierarchy based voting method. These methods use approximate…

计算机视觉与模式识别 · 计算机科学 2010-07-06 Chandan Singh , Nitin Bhatia

Fast Hough transform is a widely used algorithm in pattern recognition. The algorithm relies on approximating lines using a specific discrete line model called dyadic lines. The worst-case deviation of a dyadic line from the ideal line it…

计算机视觉与模式识别 · 计算机科学 2023-11-17 Gleb Smirnov , Simon Karpenko

Feature curves are largely adopted to highlight shape features, such as sharp lines, or to divide surfaces into meaningful segments, like convex or concave regions. Extracting these curves is not sufficient to convey prominent and…

计算机视觉与模式识别 · 计算机科学 2017-10-02 Maria-Laura Torrente , Silvia Biasotti , Bianca Falcidieno

Fast Fourier Transform (FFT) is an efficient algorithm to compute the Discrete Fourier Transform (DFT) and its inverse. In this paper, we pay special attention to the description of complex-data FFT. We analyze two common descriptions of…

数值分析 · 计算机科学 2011-10-28 Zhengjun Cao , Xiao Fan

This paper proposes using sketch algorithms to represent the votes in Hough transforms. Replacing the accumulator array with a sketch (Sketch Hough Transform - SHT) significantly reduces the memory needed to compute a Hough transform. We…

计算机视觉与模式识别 · 计算机科学 2018-11-16 Levi Offen , Michael Werman

A unified method for three-dimensional reconstruction of objects from transmission images collected at multiple illumination directions is described. The method may be applicable to experimental conditions relevant to absorption-based,…

医学物理 · 物理学 2022-12-07 Timur E. Gureyev , Hamish G. Brown , Harry M. Quiney , Leslie J. Allen

We present Generalized Histogram Thresholding (GHT), a simple, fast, and effective technique for histogram-based image thresholding. GHT works by performing approximate maximum a posteriori estimation of a mixture of Gaussians with…

计算机视觉与模式识别 · 计算机科学 2020-08-20 Jonathan T. Barron

The graph Fourier transform (GFT) is an important tool for graph signal processing, with applications ranging from graph-based image processing to spectral clustering. However, unlike the discrete Fourier transform, the GFT typically does…

信号处理 · 电气工程与系统科学 2019-10-02 Keng-Shih Lu , Antonio Ortega

In this paper, we suggest a new neural network architecture for vanishing point detection in images. The key element is the use of the direct and transposed Fast Hough Transforms separated by convolutional layer blocks with standard…

计算机视觉与模式识别 · 计算机科学 2020-11-11 A. Sheshkus , A. Chirvonaya , D. Matveev , D. Nikolaev , V. L. Arlazarov

Significant geometric structures can be compactly described by global wireframes in the estimation of 3D room layout from a single panoramic image. Based on this observation, we present an alternative approach to estimate the walls in 3D…

计算机视觉与模式识别 · 计算机科学 2022-07-20 Yining Zhao , Chao Wen , Zhou Xue , Yue Gao
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