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Flux reconstruction provides a framework for solving partial differential equations in which functions are discontinuously approximated within elements. Typically, this is done by using polynomials. Here, the use of radial basis functions…

Numerical Analysis · Mathematics 2022-01-06 Rob Watson , Will Trojak

Radio frequency interference (RFI) have been an enduring concern in radio astronomy, particularly for the observations of pulsars which require high timing precision and data sensitivity. In most works of the literature, RFI mitigation has…

Instrumentation and Methods for Astrophysics · Physics 2024-02-22 Xiao Zhang , Ismaël Cognard , Nicolas Dobigeon

We introduce and discuss shape based models for finding the best interpolation data in compression of images with noise. The aim is to reconstruct missing regions by means of minimizing data fitting term in the $L^2$-norm between the images…

Numerical Analysis · Mathematics 2020-11-05 Zakaria Belhachmi , Thomas Jacumin

This paper introduces a new approach to non-local means image denoising. Instead of using all pixels located in the search window for estimating the value of a pixel, we identify the highly corrupted pixels and assign less weight to these…

Computer Vision and Pattern Recognition · Computer Science 2017-10-04 Hamid Reza Shahdoosti

This Paper Analyze the performance of Unsymmetrical trimmed median, which is used as detector for the detection of impulse noise, Gaussian noise and mixed noise is proposed. The proposed algorithm uses a fixed 3x3 window for the increasing…

Computer Vision and Pattern Recognition · Computer Science 2012-06-08 K. Vasanth , V. Jawahar Senthil Kumar

There are many methods for image enhancement. Image inpainting is one of them which could be used in reconstruction and restoration of scratch images or editing images by adding or removing objects. According to its application, different…

Image and Video Processing · Electrical Eng. & Systems 2019-11-05 Zahra Nabizadeh , Ghazale Ghorbanzade , Nader Karimi , Shadrokh Samavi

Acquired images for medical and other purposes can be affected by noise from both the equipment used in the capturing or the environment. This can have adverse effect on the information therein. Thus, the need to restore the image to its…

Image and Video Processing · Electrical Eng. & Systems 2024-01-19 E. G. Onyedinma , I. E. Onyenwe

During the acquisition of an image from its source, noise always becomes an integral part of it. Various algorithms have been used in past to denoise the images. Image denoising still has scope for improvement. Visual information…

Image and Video Processing · Electrical Eng. & Systems 2019-09-17 Santosh Paudel , Ajay Kumar Shrestha , Pradip Singh Maharjan , Rameshwar Rijal

We propose a set of iterative regularization algorithms for the TV-Stokes model to restore images from noisy images with Gaussian noise. These are some extensions of the iterative regularization algorithm proposed for the classical…

Numerical Analysis · Mathematics 2020-09-28 Bin Wu , Leszek Marcinkowski , Xue-Cheng Tai , Talal Rahman

The improvement of the accuracy of image query retrieval used image classification technique. Image classification is well known technique of supervised learning. The improved method of image classification increases the working efficiency…

Computer Vision and Pattern Recognition · Computer Science 2013-11-28 Abhishek Pandey , Anjna Jayant Deen , Rajeev Pandey

The sparse layouts of radio interferometers result in an incomplete sampling of the sky in Fourier space which leads to artifacts in the reconstructed images. Cleaning these systematic effects is essential for the scientific use of…

Instrumentation and Methods for Astrophysics · Physics 2023-07-27 Kevin Schmidt , Felix Geyer , Stefan Fröse , Paul-Simon Blomenkamp , Marcus Brüggen , Francesco de Gasperin , Dominik Elsässer , Wolfgang Rhode

Wave-front sensing from focal plane multiple images is a promising technique for high-contrast imaging systems. However, the wave-front error of an optics system can be properly reconstructed only when it is very small. This paper presents…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 Jiangpei Dou , Deqing Ren , Yongtian Zhu

Radial basis functions (RBFs) play an important role in function interpolation, in particular in an arbitrary set of interpolation nodes. The accuracy of the interpolation depends on a parameter called the shape parameter. There are many…

Numerical Analysis · Mathematics 2025-08-27 Maria Han Veiga , Faezeh Nassajian Mojarrad , Fatemeh Nassajian Mojarrad

This article describes a fast iterative algorithm for image denoising and deconvolution with signal-dependent observation noise. We use an optimization strategy based on variable splitting that adapts traditional Gaussian noise-based…

Computer Vision and Pattern Recognition · Computer Science 2012-04-16 Ayan Chakrabarti , Todd Zickler

In portable, 3-D, or ultra-fast ultrasound (US) imaging systems, there is an increasing demand to reconstruct high quality images from limited number of data. However, the existing solutions require either hardware changes or…

Computer Vision and Pattern Recognition · Computer Science 2017-10-31 Yeo Hun Yoon , Jong Chul Ye

Hyperspectral images (HSIs) are often corrupted by a mixture of several types of noise during the acquisition process, e.g., Gaussian noise, impulse noise, dead lines, stripes, and many others. Such complex noise could degrade the quality…

Computer Vision and Pattern Recognition · Computer Science 2017-07-11 Yao Wang , Jiangjun Peng , Qian Zhao , Deyu Meng , Yee Leung , Xi-Le Zhao

Over the years, progressive improvements in denoising performance have been achieved by several image denoising algorithms that have been proposed. Despite this, many of these state-of-the-art algorithms tend to smooth out the denoised…

Image and Video Processing · Electrical Eng. & Systems 2021-07-13 Basit O. Alawode , Mudassir Masood , Tarig Ballal , Tareq Al-Naffouri

This paper presents an innovative set of tools to support a methodology for the multichannel interpolation (MCI) of a discrete signal. It is shown that a bandlimited signal $f$ can be exactly reconstructed from finite samples of $g_k$…

Information Theory · Computer Science 2019-04-12 Dong Cheng , Kit Ian Kou

In portable, three dimensional, and ultra-fast ultrasound imaging systems, there is an increasing demand for the reconstruction of high quality images from a limited number of radio-frequency (RF) measurements due to receiver (Rx) or…

Computer Vision and Pattern Recognition · Computer Science 2018-08-08 Yeo Hun Yoon , Shujaat Khan , Jaeyoung Huh , Jong Chul Ye

Recently, research on denoising diffusion models has expanded its application to the field of image restoration. Traditional diffusion-based image restoration methods utilize degraded images as conditional input to effectively guide the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-25 Zhenning Shi , Haoshuai Zheng , Chen Xu , Changsheng Dong , Bin Pan , Xueshuo Xie , Along He , Tao Li , Huazhu Fu