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The approximate discrete Radon transform (ADRT) is a hierarchical multiscale approximation of the Radon transform. In this paper, we factor the ADRT into a product of linear transforms that resemble convolutions and derive an explicit…

Numerical Analysis · Mathematics 2026-01-08 Weilin Li , Karl Otness , Kui Ren , Donsub Rim

To recognize textures many methods have been developed along the years. However, texture datasets may be hard to be classified due to artefacts such as a variety of scale, illumination and noise. This paper proposes the application of…

Computer Vision and Pattern Recognition · Computer Science 2016-12-21 Mariane Barros Neiva , Antoine Manzanera , Odemir Martinez Bruno

The evolution of RHEED reflexes intensity during reconstructed transitions characterizes (often implicitly) reconstructed surface state peculiarities. The approaches of a correct RHEED data interpretation, aimed at obtaining information…

Materials Science · Physics 2017-12-18 A. V. Vasev , M. A. Putyato , V. V. Preobrazhenskii

OCR (Optical Character Recognition) is a technology that offers comprehensive alphanumeric recognition of handwritten and printed characters at electronic speed by merely scanning the document. Recently, the understanding of visual data has…

Computer Vision and Pattern Recognition · Computer Science 2023-07-12 Atman Mishra , A. Sharath Ram , Kavyashree C

Tampering or forgery of digital documents has become widespread, most commonly through altering images without any malicious intent such as enhancing the overall appearance of the image. However, there are occasions when tampering of…

Cryptography and Security · Computer Science 2025-07-02 Gabriel Grobler , Sheunesu Makura , Hein Venter

A central objective in inverse problems arising in integral geometry is to understand the kernel characterization, inversion formulas, stability estimates, range characterization, and unique continuation properties of integral transforms.…

Analysis of PDEs · Mathematics 2026-03-31 Rohit Kumar Mishra , Chandni Thakkar

Tomographic investigations are a central tool in medical applications, allowing doctors to image the interior of patients. The corresponding measurement process is commonly modeled by the Radon transform. In practice, the solution of the…

Numerical Analysis · Mathematics 2025-10-17 Richard Huber

Signature is an infinite graded sequence of statistics known to characterize geometric rough paths, which includes the paths with bounded variation. This object has been studied successfully for machine learning with mostly applications in…

Machine Learning · Statistics 2022-01-19 Ming Min , Tomoyuki Ichiba

Researchers continually perform corroborative tests to classify ancient historical documents based on the physical materials of their writing surfaces. However, these tests, often performed on-site, requires actual access to the manuscript…

Computer Vision and Pattern Recognition · Computer Science 2023-04-13 Thomas Reynolds , Maruf A. Dhali , Lambert Schomaker

An approach to textures pattern recognition based on inverse resonance filtration (IRF) is considered. A set of principal resonance harmonics of textured image signal fluctuations eigen harmonic decomposition (EHD) is used for the IRF…

Computer Vision and Pattern Recognition · Computer Science 2010-03-18 Olga Sofina , Yuriy Bunyak , Roman Kvetnyy

In this paper, we use statistical texture features for handwritten and printed text classification. We primarily aim for word level classification in south Indian scripts. Words are first extracted from the scanned document. For each…

Computer Vision and Pattern Recognition · Computer Science 2013-04-11 Mallikarjun Hangarge , K. C. Santosh , Srikanth Doddamani , Rajmohan Pardeshi

Handwritten Text Recognition remains challenging due to the limited data, high writing style variance, and scripts with complex diacritics. Existing approaches, though partially address these issues, often struggle to generalize without…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Pham Thach Thanh Truc , Dang Hoai Nam , Huynh Tong Dang Khoa , Vo Nguyen Le Duy

Handwritten Text Recognition (HTR) is still a challenging problem because it must deal with two important difficulties: the variability among writing styles, and the scarcity of labelled data. To alleviate such problems, synthetic data…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Lei Kang , Marçal Rusiñol , Alicia Fornés , Pau Riba , Mauricio Villegas

This paper is devoted to a Radon-type transform arising in Photoacoustic Tomography that uses integrating line detectors. We consider two situations: when the line detectors are tangent to the boundary of a cylindrical domain and when the…

Functional Analysis · Mathematics 2014-12-09 Sunghwan Moon

The new paradigm of heterostructures based on two-dimensional (2D) atomic crystals has already led to the observation of exciting physical phenomena and creation of novel devices. The possibility of combining layers of different 2D…

PAT is the best-known example of a hybrid imaging method. In this article, we define a Radon-type transform arising in a version of PAT that uses integrating circle detectors and describe how the Radon transform integrating over all circles…

Functional Analysis · Mathematics 2014-12-09 Sunghwan Moon

Texture plays a vital role in enhancing visual richness in both real photographs and computer-generated imagery. However, the process of editing textures often involves laborious and repetitive manual adjustments of textons, which are the…

Graphics · Computer Science 2024-09-24 Peihan Tu , Li-Yi Wei , Matthias Zwicker

Recent advancements in Deep Learning-based Handwritten Text Recognition (HTR) have led to models with remarkable performance on both modern and historical manuscripts in large benchmark datasets. Nonetheless, those models struggle to obtain…

Computer Vision and Pattern Recognition · Computer Science 2023-05-05 Vittorio Pippi , Silvia Cascianelli , Christopher Kermorvant , Rita Cucchiara

Texture characterization is a key problem in image understanding and pattern recognition. In this paper, we present a flexible shape-based texture representation using shape co-occurrence patterns. More precisely, texture images are first…

Computer Vision and Pattern Recognition · Computer Science 2017-11-06 Gui-Song Xia , Gang Liu , Xiang Bai , Liangpei Zhang

We study a new class of Radon transforms defined on circular cones called the conical Radon transform. In $\mathbb{R}^3$ it maps a function to its surface integrals over circular cones, and in $\mathbb{R}^2$ it maps a function to its…

Numerical Analysis · Mathematics 2015-06-17 Rim Gouia-Zarrad , Gaik Ambartsoumian
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