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In this paper we study the topic of signal restoration using complexity regularization, quantifying the compression bit-cost of the signal estimate. While complexity-regularized restoration is an established concept, solid practical methods…

信息论 · 计算机科学 2018-11-14 Yehuda Dar , Michael Elad , Alfred M. Bruckstein

Ultrasound computed tomography (USCT) holds great promise for breast cancer screening. Waveform inversion-based image reconstruction methods account for higher order diffraction effects and can produce high-resolution USCT images, but are…

医学物理 · 物理学 2017-08-25 Thomas P. Matthews , Kun Wang , Cuiping Li , Neb Duric , Mark A. Anastasio

The total variation (TV) regularization has phenomenally boosted various variational models for image processing tasks. We propose to combine the backward diffusion process in the earlier literature of image enhancement with the TV…

图像与视频处理 · 电气工程与系统科学 2023-06-14 Congpei An , Hao-Ning Wu , Xiaoming Yuan

With the advent of infrared long-baseline interferometers with more than two telescopes, both the size and the completeness of interferometric data sets have significantly increased, allowing images based on models with no a priori…

天体物理仪器与方法 · 物理学 2015-05-28 Stéphanie Renard , Eric Thiébaut , Fabien Malbet

Photoacoustic image (PAI) quality improvement using a low frequency piezoelectric micromachined ultrasound transducer (PMUT) having the fundamental resonant frequency 1 MHz is being reported. Specifically, three different methods are…

In this work, we propose Regularization-by-Equivariance (REV), a novel structure-adaptive regularization scheme for solving imaging inverse problems under incomplete measurements. This regularization scheme utilizes the equivariant…

最优化与控制 · 数学 2022-02-15 Junqi Tang

Metal artifact reduction (MAR) is a challenging problem in computed tomography (CT) imaging. A popular class of MAR methods replace sinogram measurements that are corrupted by metal with artificial data. While these ``projection…

医学物理 · 物理学 2021-01-27 T. Humphries , J. Wang

Robust Principal Component Analysis (RPCA) is a fundamental technique for decomposing data into low-rank and sparse components, which plays a critical role for applications such as image processing and anomaly detection. Traditional RPCA…

机器学习 · 计算机科学 2024-12-20 Kexin Li , You-wei Wen , Xu Xiao , Mingchao Zhao

Positron emission tomography (PET) is an important functional medical imaging technique often used in the evaluation of certain brain disorders, whose reconstruction problem is ill-posed. The vast majority of reconstruction methods in PET…

图像与视频处理 · 电气工程与系统科学 2023-06-09 Tin Vlašić , Tomislav Matulić , Damir Seršić

Sparse neural networks are a key factor in developing resource-efficient machine learning applications. We propose the novel and powerful sparse learning method Adaptive Regularized Training (ART) to compress dense into sparse networks.…

计算机视觉与模式识别 · 计算机科学 2023-08-17 Patrick Glandorf , Timo Kaiser , Bodo Rosenhahn

This paper investigates the shape reconstructions of sub-wavelength objects from near-field measurements in transverse electromagnetic scattering. This geometric inverse problem is notoriously ill-posed and challenging. We develop a novel…

数学物理 · 物理学 2023-05-03 M. H. Ding , H. Y. Liu , G. H. Zheng

The development of computed tomography (CT) image reconstruction methods that significantly reduce patient radiation exposure while maintaining high image quality is an important area of research in low-dose CT (LDCT) imaging. We propose a…

机器学习 · 统计学 2019-06-14 Xuehang Zheng , Saiprasad Ravishankar , Yong Long , Jeffrey A. Fessler

Image reconstruction in X-ray tomography is an ill-posed inverse problem, particularly with limited available data. Regularization is thus essential, but its effectiveness hinges on the choice of a regularization parameter that balances…

计算机视觉与模式识别 · 计算机科学 2026-02-11 Chuyang Wu , Samuli Siltanen

A crucial limitation of current high-resolution 3D photoacoustic tomography (PAT) devices that employ sequential scanning is their long acquisition time. In previous work, we demonstrated how to use compressed sensing techniques to improve…

数值分析 · 数学 2020-09-07 Felix Lucka , Nam Huynh , Marta Betcke , Edward Zhang , Paul Beard , Ben Cox , Simon Arridge

We address the problem of image reconstruction from incomplete measurements, encompassing both upsampling and inpainting, within a learning-based framework. Conventional supervised approaches require fully sampled ground truth data, while…

计算机视觉与模式识别 · 计算机科学 2026-03-23 Benjamin Walder , Daniel Toader , Robert Nuster , Günther Paltauf , Peter Burgholzer , Gregor Langer , Lukas Krainer , Markus Haltmeier

Reconstructing under-sampled k-space measurements in Compressed Sensing MRI (CS-MRI) is classically solved with regularized least-squares. Recently, deep learning has been used to amortize this optimization by training reconstruction…

图像与视频处理 · 电气工程与系统科学 2021-01-07 Alan Q. Wang , Adrian V. Dalca , Mert R. Sabuncu

Compressed sensing (CS) is a promising approach to reduce the number of measurements in photoacoustic tomography (PAT) while preserving high spatial resolution. This allows to increase the measurement speed and to reduce system costs.…

Dual-energy computed tomography (DECT) has shown great potential and promising applications in advanced imaging fields for its capabilities of material decomposition. However, image reconstructions and decompositions under sparse views…

医学物理 · 物理学 2016-08-01 Lei Li , Ailong Cai , Linyuan Wang , Bin Yan , Hanming Zhang , Zhizhong Zheng , Wenkun Zhang , Wanli Lu , Guoen Hu

We present a method for supervised learning of sparsity-promoting regularizers for denoising signals and images. Sparsity-promoting regularization is a key ingredient in solving modern signal reconstruction problems; however, the operators…

机器学习 · 计算机科学 2023-09-07 Avrajit Ghosh , Michael T. McCann , Madeline Mitchell , Saiprasad Ravishankar

We discuss several methods for image reconstruction in compressed sensing photoacoustic tomography (CS-PAT). In particular, we apply the deep learning method of [H. Li, J. Schwab, S. Antholzer, and M. Haltmeier. NETT: Solving Inverse…