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In recent years, Radon type transforms that integrate functions over various sets of ellipses/ellipsoids have been considered in SAR, ultrasound reflection tomography, and radio tomography. In this paper, we consider the transform that…

Functional Analysis · Mathematics 2013-10-07 Sunghwan Moon

The transform considered in the paper integrates a function supported in the unit disk on the plane over all circles centered at the boundary of this disk. Such circular Radon transform arises in several contemporary imaging techniques, as…

General Mathematics · Mathematics 2007-05-23 Gaik Ambartsoumian , Peter Kuchment

In this work we study weighted Radon transforms in multidimensions. We introduce an analog of Chang approximate inversion formula for such transforms and describe all weights for which this formula is exact. In addition, we indicate…

Functional Analysis · Mathematics 2016-12-09 Fedor Goncharov , Roman Novikov

Question-answering handwritten documents is a challenging task with numerous real-world applications. This paper proposes a novel recognition-based approach that improves upon the previous state-of-the-art on the HW-SQuAD and BenthamQA…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Aniket Pal , Ajoy Mondal , C. V. Jawahar

Each grid block in a 3D geological model requires a rock type that represents all physical and chemical properties of that block. The properties that classify rock types are lithology, permeability, and capillary pressure. Scientists and…

Machine Learning · Computer Science 2022-01-06 Omar Alfarisi , Djamel Ouzzane , Mohamed Sassi , Tiejun Zhang

This paper presents an algorithm that transforms color visual images, like photographs or paintings, into tactile graphics. In the algorithm, the edges of objects are detected and colors of the objects are estimated. Then, the edges and the…

Graphics · Computer Science 2007-05-23 Artur Rataj

We report two essential improvements in readability assessment: 1. three novel features in advanced semantics and 2. the timely evidence that traditional ML models (e.g. Random Forest, using handcrafted features) can combine with…

Computation and Language · Computer Science 2024-06-18 Bruce W. Lee , Yoo Sung Jang , Jason Hyung-Jong Lee

Generating synthetic images of handwritten text in a writer-specific style is a challenging task, especially in the case of unseen styles and new words, and even more when these latter contain characters that are rarely encountered during…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Vittorio Pippi , Silvia Cascianelli , Rita Cucchiara

In this paper, we present a methodology for off-line handwritten character recognition. The proposed methodology relies on a new feature extraction technique based on structural characteristics, histograms and profiles. As novelty, we…

Computer Vision and Pattern Recognition · Computer Science 2018-02-15 José Manuel Casas , Nick Inassaridze , Manuel Ladra , Susana Ladra

The crystallographic texture is a key organization feature of many technical and biological materials. In these materials, especially hierarchically structured ones, the preferential alignment of the nano constituents is heavily influencing…

One constructs new operations of pull-back and push-forward on valuations on manifolds with respect to submersions and immersions. A general Radon type transform on valuations is introduced using these operations and the product on…

Metric Geometry · Mathematics 2014-08-14 Semyon Alesker

Handwritten text recognition has been developed rapidly in the recent years, following the rise of deep learning and its applications. Though deep learning methods provide notable boost in performance concerning text recognition,…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 George Retsinas , Giorgos Sfikas , Basilis Gatos , Christophoros Nikou

Geometric moments and moment invariants of image artifacts have many uses in computer vision applications, e.g. shape classification or object position and orientation. Higher order moments are of interest to provide additional feature…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 William Diggin , Michael Diggin

Recent advances have enabled 3d object reconstruction approaches using a single off-the-shelf RGB-D camera. Although these approaches are successful for a wide range of object classes, they rely on stable and distinctive geometric or…

Computer Vision and Pattern Recognition · Computer Science 2017-04-04 Dimitrios Tzionas , Juergen Gall

We provide an introduction to the signature method, focusing on its theoretical properties and machine learning applications. Our presentation is divided into two parts. In the first part, we present the definition and fundamental…

Machine Learning · Statistics 2025-12-29 Ilya Chevyrev , Andrey Kormilitzin

This paper presents a high discriminative texture analysis method based on the fusion of complex networks and randomized neural networks. In this approach, the input image is modeled as a complex networks and its topological properties as…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Lucas C. Ribas , Jarbas J. M. Sa Junior , Leonardo F. S. Scabini , Odemir M. Bruno

The Radon transform Rf of functions f on SO(3) has recently been applied extensively in texture analysis, i.e. the analysis of preferred crystallographic orientation. In practice one has to determine the orientation probability density…

Functional Analysis · Mathematics 2014-03-07 Swanhild Bernstein , Svend Ebert , Isaac Z. Pesenson

This paper presents an overview of the evolution of local features from handcrafted to deep-learning-based methods, followed by a discussion of several benchmarks and papers evaluating such local features. Our investigations are motivated…

Computer Vision and Pattern Recognition · Computer Science 2019-06-17 Gabriela Csurka , Christopher R. Dance , Martin Humenberger

The recognition of color texture under varying lighting conditions is still an open issue. Several features have been proposed for this purpose, ranging from traditional statistical descriptors to features extracted with neural networks.…

Computer Vision and Pattern Recognition · Computer Science 2016-01-20 Claudio Cusano , Paolo Napoletano , Raimondo Schettini

Tomograms, a generalization of the Radon transform to arbitrary pairs of non-commuting operators, are positive bilinear transforms with a rigorous probabilistic interpretation which provide a full characterization of the signal and are…

Data Analysis, Statistics and Probability · Physics 2012-11-27 F. Briolle , V. I. Man'ko , B. Ricaud , R. Vilela Mendes