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Sampling and quantization are standard practices in signal and image processing, but a theoretical understanding of their impact is incomplete. We consider discrete image registration when the underlying function is a one-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Serap A. Savari

Clustering in image analysis is a central technique that allows to classify elements of an image. We describe a simple clustering technique that uses the method of similarity matrices. We expand upon recent results in spectral analysis for…

Statistics Theory · Mathematics 2022-03-23 Denis Gaidashev , Ralf Pihlström , Martin Ryner

We investigate the problem of testing whether a discrete probability distribution over an ordered domain is a histogram on a specified number of bins. One of the most common tools for the succinct approximation of data, $k$-histograms over…

Data Structures and Algorithms · Computer Science 2022-07-15 Clément L. Canonne , Ilias Diakonikolas , Daniel M. Kane , Sihan Liu

We obtain an expression for the probability density function (PDF) of partially developed speckles formed by light with an arbitrary degree of polarization. From the probability density we calculate the detection threshold corresponding to…

Instrumentation and Methods for Astrophysics · Physics 2010-11-02 Natalia Yaitskova

For a variant of the algorithm in [Pit19] (arXiv:1903.10816) to compute the approximate density or distribution function of a linear mixture of independent random variables known by a finite sample, it is presented a proof of the functional…

Statistics Theory · Mathematics 2019-06-19 Thomas Pitschel

Histogram Equalization (HE) has been an essential addition to the Image Enhancement world. Enhancement techniques like Classical Histogram Equalization (CHE), Adaptive Histogram Equalization (ADHE), Bi-Histogram Equalization (BHE) and…

Computer Vision and Pattern Recognition · Computer Science 2013-07-12 Sayali Nimkar , Sanal Varghese , Sucheta Shrivastava

In this paper, a method for enhancing low contrast images is proposed. This method, called Gaussian Mixture Model based Contrast Enhancement (GMMCE), brings into play the Gaussian mixture modeling of histograms to model the content of the…

Multimedia · Computer Science 2015-07-14 Mohsen Abdoli , Hossein Sarikhani , Mohammad Ghanbari , Patrice Brault

Centrality describes the importance of nodes in a graph and is modeled by various measures. Its global analogue, called centralization, is a general formula for calculating a graph-level centrality score based on the node-level centrality…

Social and Information Networks · Computer Science 2022-05-03 Jose Mari E. Ortega , Rolito G. Eballe

A common problem for composite images is the incompatibility of their foreground and background components. Image harmonization aims to solve this problem, making the whole image look more authentic and coherent. Most existing solutions…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Karen Efremyan , Elizaveta Petrova , Evgeny Kaskov , Alexander Kapitanov

An important part of problems in statistical physics and computer science can be expressed as the computation of marginal probabilities over a Markov Random Field. The belief propagation algorithm, which is an exact procedure to compute…

Machine Learning · Computer Science 2011-01-24 Victorin Martin , Jean-Marc Lasgouttes , Cyril Furtlehner

This letter discusses the problem of testing the degree of randomness within an image, particularly for a shuffled or encrypted image. Its key contributions are: 1) a mathematical model of perfectly shuffled images; 2) the derivation of the…

Cryptography and Security · Computer Science 2012-11-08 Yue Wu , Sos Agaian , Joseph P. Noonan

Area openings and closings are morphological filters which efficiently suppress impulse noise from an image, by removing small connected components of level sets. The problem of an objective choice of threshold for the area remains open.…

Probability · Mathematics 2016-08-16 David Coupier , Agnès Desolneux , Bernard Ycart

Deployment of machine learning algorithms into real-world practice is still a difficult task. One of the challenges lies in the unpredictable variability of input data, which may differ significantly among individual users, institutions,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Roman Stoklasa

Histograms with weighted entries are used to estimate probability density functions. Computer simulation is the main application of this type of histograms. A review on chi-square tests for comparing weighted histograms is presented in this…

Data Analysis, Statistics and Probability · Physics 2017-04-27 Nikolai Gagunashvili

Given a set of images containing objects from the same category, the task of image co-localization is to identify and localize each instance. This paper shows that this problem can be solved by a simple but intriguing idea, that is, a…

Computer Vision and Pattern Recognition · Computer Science 2016-07-26 Yao Li , Linqiao Liu , Chunhua Shen , Anton van den Hengel

Image composition in image editing involves merging a foreground image with a background image to create a composite. Inconsistent lighting conditions between the foreground and background often result in unrealistic composites. Image…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Jiajie Li , Jian Wang , Chen Wang , Jinjun Xiong

To enhance low-light images to normally-exposed ones is highly ill-posed, namely that the mapping relationship between them is one-to-many. Previous works based on the pixel-wise reconstruction losses and deterministic processes fail to…

Image and Video Processing · Electrical Eng. & Systems 2021-09-14 Yufei Wang , Renjie Wan , Wenhan Yang , Haoliang Li , Lap-Pui Chau , Alex C. Kot

Several computer vision applications like vehicle license plate recognition, captcha recognition, printed or handwriting character recognition from images etc., text polarity detection and binarization are the important preprocessing tasks.…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Narendra Singh Yadav , Pavan Kumar Perepu

Map makers have long searched for a way to construct cartograms -- maps in which the sizes of geographic regions such as countries or provinces appear in proportion to their population or some other analogous property. Such maps are…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Michael T. Gastner , M. E. J. Newman

A probabilistic circuit (PC) succinctly expresses a function that represents a multivariate probability distribution and, given sufficient structural properties of the circuit, supports efficient probabilistic inference. Typically a PC…

Machine Learning · Computer Science 2024-08-09 Oliver Broadrick , William Cao , Benjie Wang , Martin Trapp , Guy Van den Broeck
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