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We present a parameter retrieval method which combines ptychography and additional prior knowledge about the object. The proposed method is applied to two applications: (1) parameter retrieval of small particles from Fourier ptychographic…

Image and Video Processing · Electrical Eng. & Systems 2020-11-03 Xukang Wei , H. Paul Urbach , Peter van der Walle , Wim M. J. Coene

This article introduces a new signal analysis method, which can be interpreted as a principal component analysis in sparse decomposition of the signal. The method, called principal basis analysis, is based on a novel criterion:…

Computer Vision and Pattern Recognition · Computer Science 2015-11-26 Hong Sun , Cheng-Wei Sang , Chen-Guang Liu

Recent frameworks, such as the so-called plug-and-play, allow us to leverage the developments in image denoising to tackle other, and more involved, problems in image processing. As the name suggests, state-of-the-art denoisers are plugged…

Computer Vision and Pattern Recognition · Computer Science 2017-11-09 Afonso M. Teodoro , José M. Bioucas-Dias , Mário A. T. Figueiredo

Inferring a process matrix characterizing a quantum channel from experimental measurements is a key issue of quantum information. Sometimes the noise affecting the measured counts brings to matrices very different from the expected ones and…

Quantum Physics · Physics 2024-01-31 Massimiliano Guarneri , Andrea Chiuri

Estimating a vector $\mathbf{x}$ from noisy linear measurements $\mathbf{Ax}+\mathbf{w}$ often requires use of prior knowledge or structural constraints on $\mathbf{x}$ for accurate reconstruction. Several recent works have considered…

Information Theory · Computer Science 2020-01-29 Alyson K. Fletcher , Sundeep Rangan , Subrata Sarkar , Philip Schniter

Recently developed deep-learning-based denoisers often outperform state-of-the-art conventional denoisers such as the BM3D. They are typically trained to minimize the mean squared error (MSE) between the output image of a deep neural…

Computer Vision and Pattern Recognition · Computer Science 2021-04-23 Shakarim Soltanayev , Se Young Chun

The quality of the reconstructed photoacoustic image largely depends on the amount of photoacoustic (PA) boundary data available, which in turn is proportional to the number of detectors employed. In case of limited data (owing to less…

Image and Video Processing · Electrical Eng. & Systems 2020-01-20 Navchetan Awasthi , Rohit Pardasani , Sandeep Kumar Kalva , Manojit Pramanik , Phaneendra K. Yalavarthy

Next-generation particle accelerators demand advanced beam-diagnostic capabilities to ensure high performance, operational reliability, and sustainable machine operation. Increasing beam intensities and stored energies make the precise…

Accelerator Physics · Physics 2026-03-10 Francis René Osswald , Mohammed Chahbaoui , Xinyi Liang

Conventional LIDAR systems require hundreds or thousands of photon detections to form accurate depth and reflectivity images. Recent photon-efficient computational imaging methods are remarkably effective with only 1.0 to 3.0 detected…

Applications · Statistics 2019-11-13 Joshua Rapp , Vivek K Goyal

Partial Differential Equation (PDE)-based approaches have gained significant attention in image despeckling due to their strong capability to preserve structural details while suppressing noise. However, conventional second-order PDE models…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Manish Kumar , Rajendra K. Ray

Plug and Play (PnP) methods achieve remarkable results in the framework of image restoration problems for Gaussian data. Nonetheless, the theory available for the Gaussian case cannot be extended to the Poisson case, due to the…

Numerical Analysis · Mathematics 2025-10-20 Alessandro Benfenati

Matter-wave interferometers with micro-particles will enable the next generation of quantum sensors to probe minute quantum phase information. Therefore, estimating the loss of coherence and the degree of entanglement degradation for such…

Quantum Physics · Physics 2024-10-25 Martine Schut , Herre Bosma , MengZhi Wu , Marko Toroš , Sougato Bose , Anupam Mazumdar

Lacking rich and realistic data, learned single image denoising algorithms generalize poorly to real raw images that do not resemble the data used for training. Although the problem can be alleviated by the heteroscedastic Gaussian model…

Image and Video Processing · Electrical Eng. & Systems 2020-04-10 Kaixuan Wei , Ying Fu , Jiaolong Yang , Hua Huang

This paper studies the removal of salt-and-pepper noise from images using median filter (MF) and simple three-layer autoencoder (AE) within recursive threshold algorithm. The performance of denoising is assessed with two metrics: the…

Image and Video Processing · Electrical Eng. & Systems 2025-11-18 Petr Boriskov , Kirill Rudkovskii , Andrei Velichko

Our main objective is to develop a denoising strategy to increase the signal to noise ratio of individual spectral lines of stellar spectropolarimetric observations. We use a multivariate statistics technique called Principal Component…

Shape modeling is a challenging task with many potential applications in computer vision and medical imaging. There are many shape modeling methods in the literature, each with its advantages and applications. However, many shape modeling…

Computer Vision and Pattern Recognition · Computer Science 2024-02-27 Cheng Long , Adrian Barbu

The problem of reconstruction of digital images from their degraded measurements is regarded as a problem of central importance in various fields of engineering and imaging sciences. In such cases, the degradation is typically caused by the…

Computer Vision and Pattern Recognition · Computer Science 2010-01-06 E. Shaked , O. Michailovich

Patch-based denoising algorithms like BM3D have achieved outstanding performance. An important idea for the success of these methods is to exploit the recurrence of similar patches in an input image to estimate the underlying image…

Computer Vision and Pattern Recognition · Computer Science 2019-01-21 Si Lu

Ultrafast electron beam X-ray computed tomography produces noisy data due to short measurement times, causing reconstruction artifacts and limiting overall image quality. To counteract these issues, two self-supervised deep learning methods…

Machine Learning · Computer Science 2025-11-24 Israt Jahan Tulin , Sebastian Starke , Dominic Windisch , André Bieberle , Peter Steinbach

Non-uniqueness and instability are characteristic features of image reconstruction processes. As a result, it is necessary to develop regularization methods that can be used to compute reliable approximate solutions. A regularization method…

Numerical Analysis · Mathematics 2022-12-16 Andrea Ebner , Markus Haltmeier
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