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We present a new algorithm, FRiM (FRactal Iterative Method), aiming at the reconstruction of the optical wavefront from measurements provided by a wavefront sensor. As our application is adaptive optics on extremely large telescopes, our…

Mathematical Physics · Physics 2015-05-18 Eric Thiebaut , Michel Tallon

Convolutional neural networks (CNNs) have gained tremendous success in solving complex inverse problems. The aim of this work is to develop a novel CNN framework to reconstruct video sequence of dynamic live cells captured using a…

Computer Vision and Pattern Recognition · Computer Science 2020-10-29 Thanh Nguyen , Yujia Xue , Yunzhe Li , Lei Tian , George Nehmetallah

In this paper, we propose an efficient numerical scheme for solving some large scale ill-posed linear inverse problems arising from image restoration. In order to accelerate the computation, two different hidden structures are exploited.…

Numerical Analysis · Mathematics 2024-12-20 Zixuan Chen , James Nagy , Yuanzhe Xi , Bo Yu

Multi-Grid Back-Projection (MGBP) is a fully-convolutional network architecture that can learn to restore images and videos with upscaling artifacts. Using the same strategy of multi-grid partial differential equation (PDE) solvers this…

Image and Video Processing · Electrical Eng. & Systems 2021-01-05 Pablo Navarrete Michelini , Wenbin Chen , Hanwen Liu , Dan Zhu , Xingqun Jiang

Two features desired in a three-dimensional (3D) optical tomographic image reconstruction algorithm are the ability to reduce imaging artifacts and to do fast processing of large data volumes. Traditional iterative inversion algorithms are…

Image and Video Processing · Electrical Eng. & Systems 2020-06-15 Zihui Wu , Yu Sun , Alex Matlock , Jiaming Liu , Lei Tian , Ulugbek S. Kamilov

This paper introduces the Furthest Hyperplane Problem (FHP), which is an unsupervised counterpart of Support Vector Machines. Given a set of n points in Rd, the objective is to produce the hyperplane (passing through the origin) which…

Computational Complexity · Computer Science 2012-02-06 Zohar Karnin , Edo Liberty , Shachar Lovett , Roy Schwartz , Omri Weinstein

We consider the problem of computationally-efficient prediction from high dimensional and highly correlated predictors in challenging settings where accurate variable selection is effectively impossible. Direct application of penalization…

Statistics Theory · Mathematics 2017-12-08 Minerva Mukhopadhyay , David B. Dunson

Recent advancements in diffusion models have demonstrated remarkable success in various image generation tasks. Building upon these achievements, diffusion models have also been effectively adapted to image restoration tasks, e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Yu-Shan Tai , An-Yeu , Wu

For single source helical Computed Tomography (CT), both Filtered-Back Projection (FBP) and statistical iterative reconstruction have been investigated. However for dual source CT with flying focal spot (DS-FFS CT), statistical iterative…

Image and Video Processing · Electrical Eng. & Systems 2022-02-14 Xiao Wang , Robert D. MacDougall , Peng Chen , Charles A. Bouman , Simon K. Warfield

Purpose: We develop an iterative image-reconstruction algorithm for application to low-intensity computed tomography (CT) projection data, which is based on constrained, total-variation (TV) minimization. The algorithm design focuses on…

Medical Physics · Physics 2015-05-20 Emil Y. Sidky , Yuval Duchin , Christer Ullberg , Xiaochuan Pan

We propose a new quantum state reconstruction method that combines ideas from compressed sensing, non-convex optimization, and acceleration methods. The algorithm, called Momentum-Inspired Factored Gradient Descent (\texttt{MiFGD}), extends…

Quantum Physics · Physics 2022-03-24 Junhyung Lyle Kim , George Kollias , Amir Kalev , Ken X. Wei , Anastasios Kyrillidis

This paper presents an iterative inversion algorithm for computed tomography image reconstruction that performs well in terms of accuracy and speed using limited data. The computational method combines an image domain technique and…

Image and Video Processing · Electrical Eng. & Systems 2019-01-17 Victor Churchill , Anne Gelb

We present the Parallel, Forward-Backward with Pruning (PFBP) algorithm for feature selection (FS) in Big Data settings (high dimensionality and/or sample size). To tackle the challenges of Big Data FS PFBP partitions the data matrix both…

Facial Beauty Prediction (FBP) is a challenging computer vision task due to its subjective nature and the subtle, holistic features that influence human perception. Prevailing methods, often based on deep convolutional networks or standard…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Djamel Eddine Boukhari , Ali chemsa

A new algorithm for reconstructing a two dimensional object from a set of one dimensional projected views is presented that is both computationally exact and experimentally practical. The algorithm has a computational complexity of O(n log2…

In this paper we propose a novel algorithm, factored value iteration (FVI), for the approximate solution of factored Markov decision processes (fMDPs). The traditional approximate value iteration algorithm is modified in two ways. For one,…

Artificial Intelligence · Computer Science 2008-08-13 Istvan Szita , Andras Lorincz

X-ray phase contrast tomography (XPCT) is widely used for 3D imaging of objects with weak contrast in X-ray absorption index but strong contrast in refractive index decrement. To reconstruct an object imaged using XPCT, phase retrieval…

Image and Video Processing · Electrical Eng. & Systems 2020-09-23 K. Aditya Mohan , Dilworth Y. Parkinson , Jefferson A. Cuadra

The forward-backward splitting method (FBS) for minimizing a nonsmooth composite function can be interpreted as a (variable-metric) gradient method over a continuously differentiable function which we call forward-backward envelope (FBE).…

Optimization and Control · Mathematics 2019-11-11 Lorenzo Stella , Andreas Themelis , Panagiotis Patrinos

Available super-resolution techniques for 3D images are either computationally inefficient prior-knowledge-based iterative techniques or deep learning methods which require a large database of known low- and high-resolution image pairs. A…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Janka Hatvani , Adrian Basarab , Jean-Yves Tourneret , Miklós Gyöngy , Denis Kouamé

This paper focuses on network pruning for image retrieval acceleration. Prevailing image retrieval works target at the discriminative feature learning, while little attention is paid to how to accelerate the model inference, which should be…

Computer Vision and Pattern Recognition · Computer Science 2020-01-27 Xiaodong Wang , Zhedong Zheng , Yang He , Fei Yan , Zhiqiang Zeng , Yi Yang
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