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Variational regularization techniques are dominant in the field of mathematical imaging. A drawback of these techniques is that they are dependent on a number of parameters which have to be set by the user. A by now common strategy to…

Optimization and Control · Mathematics 2020-12-10 Matthias J. Ehrhardt , Lindon Roberts

In this work, a novel algorithm called SVM with Shape-adaptive Reconstruction and Smoothed Total Variation (SaR-SVM-STV) is introduced to classify hyperspectral images, which makes full use of spatial and spectral information. The…

Computer Vision and Pattern Recognition · Computer Science 2022-04-15 Ruoning Li , Kangning Cui , Raymond H. Chan , Robert J. Plemmons

There has been an intense development of Bayes graphical model estimation approaches over the past decade - however, most of the existing methods are restricted to moderate dimensions. We propose a novel approach suitable for high…

Methodology · Statistics 2013-08-20 Suprateek Kundu , Veera Baladandayuthapani , Bani K. Mallick

Deep learning has not been routinely employed for semantic segmentation of seabed environment for synthetic aperture sonar (SAS) imagery due to the implicit need of abundant training data such methods necessitate. Abundant training data,…

Computer Vision and Pattern Recognition · Computer Science 2021-08-02 Yung-Chen Sun , Isaac D. Gerg , Vishal Monga

In the past, optimization-based registration models have used spatially-varying regularization to account for deformation variations in different image regions. However, deep learning-based registration models have mostly relied on…

Image and Video Processing · Electrical Eng. & Systems 2023-03-14 Junyu Chen , Yihao Liu , Yufan He , Yong Du

In this paper, a methodology is investigated for signal recovery in the presence of non-Gaussian noise. In contrast with regularized minimization approaches often adopted in the literature, in our algorithm the regularization parameter is…

Optimization and Control · Mathematics 2017-01-23 Yosra Marnissi , Yuling Zheng , Emilie Chouzenoux , Jean-Christophe Pesquet

In this paper, we propose an unsupervised method for hyperspectral remote sensing image segmentation. The method exploits the mean-shift clustering algorithm that takes as input a preliminary hyperspectral superpixels segmentation together…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Mirko Paolo Barbato , Paolo Napoletano , Flavio Piccoli , Raimondo Schettini

Spatial transcriptomics has revolutionized tissue analysis by simultaneously mapping gene expression, spatial topography, and histological context across consecutive tissue sections, enabling systematic investigation of spatial…

Applications · Statistics 2025-10-24 Meng Zhou , Shuangge Ma , Mengyun Wu

Natural images are often affected by random noise and image denoising has long been a central topic in Computer Vision. Many algorithms have been introduced to remove the noise from the natural images, such as Gaussian, Wiener filtering and…

Computer Vision and Pattern Recognition · Computer Science 2013-08-07 Hyuntaek Oh

Due to the cross-domain distribution shift aroused from diverse medical imaging systems, many deep learning segmentation methods fail to perform well on unseen data, which limits their real-world applicability. Recent works have shown the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Shangqi Gao , Hangqi Zhou , Yibo Gao , Xiahai Zhuang

Synthetic Magnetic Resonance (MR) imaging predicts images at new design parameter settings from a few observed MR scans. Model-based methods, that use both the physical and statistical properties underlying the MR signal and its…

Applications · Statistics 2023-08-25 Subrata Pal , Somak Dutta , Ranjan Maitra

We have shown that the left side null space of the autoregression (AR) matrix operator is the lexicographical presentation of the point spread function (PSF) on condition the AR parameters are common for original and blurred images. The…

Computer Vision and Pattern Recognition · Computer Science 2012-06-19 Yu. A. Bunyak , O. Yu. Sofina , R. N. Kvetnyy

This paper addresses the semantic instance segmentation task in the open-set conditions, where input images can contain known and unknown object classes. The training process of existing semantic instance segmentation methods requires…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Trung Pham , Vijay Kumar B G , Thanh-Toan Do , Gustavo Carneiro , Ian Reid

Motivated by problems from neuroimaging in which existing approaches make use of "mass univariate" analysis which neglects spatial structure entirely, but the full joint modelling of all quantities of interest is computationally infeasible,…

Methodology · Statistics 2022-04-19 Denishrouf Thesingarajah , Adam M. Johansen

This paper presents a new Bayesian model and associated algorithm for depth and intensity profiling using full waveforms from time-correlated single-photon counting (TCSPC) measurements in the limit of very low photon counts (i.e.,…

Instrumentation and Detectors · Physics 2016-10-14 Yoann Altmann , Ximing Ren , Aongus McCarthy , Gerald S. Buller , Steve McLaughlin

In Bayesian inverse problems sampling the posterior distribution is often a challenging task when the underlying models are computationally intensive. To this end, surrogates or reduced models are often used to accelerate the computation.…

Numerical Analysis · Mathematics 2019-09-04 Qifeng Liao , Jinglai Li

Imaging methods based on array signal processing often require a fixed propagation speed of the medium, or speed of sound (SoS) for methods based on acoustic signals. The resolution of the images formed using these methods is strongly…

Signal Processing · Electrical Eng. & Systems 2025-09-17 Kyurae Kim , Simon Maskell , Jason F. Ralph

Sample-based Bayesian inference provides a route to uncertainty quantification in the geosciences, and inverse problems in general, though is very computationally demanding in the naive form that requires simulating an accurate computer…

Computation · Statistics 2019-04-12 Tiangang Cui , Colin Fox , Michael J O'Sullivan

We propose a new algorithmic approach to the non-smooth and non-convex Potts problem (also called piecewise-constant Mumford-Shah problem) for inverse imaging problems. We derive a suitable splitting into specific subproblems that can all…

Optimization and Control · Mathematics 2015-03-03 Martin Storath , Andreas Weinmann , Jürgen Frikel , Michael Unser

Developing efficient Bayesian computation algorithms for imaging inverse problems is challenging due to the dimensionality involved and because Bayesian imaging models are often not smooth. Current state-of-the-art methods often address…

Computation · Statistics 2023-05-04 Marcelo Pereyra , Luis A. Vargas-Mieles , Konstantinos C. Zygalakis
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