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The image reconstruction problem of the tomographic imaging technique magnetic particle imaging (MPI) requires the solution of a linear inverse problem. One prerequisite for this task is that the imaging operator that describes the mapping…

计算物理 · 物理学 2019-07-12 Tobias Kluth , Patryk Szwargulski , Tobias Knopp

Phase retrieval, or the process of recovering phase information in reciprocal space to reconstruct images from measured intensity alone, is the underlying basis to a variety of imaging applications including coherent diffraction imaging…

计算机视觉与模式识别 · 计算机科学 2018-11-15 Mathew J. Cherukara , Youssef S. G. Nashed , Ross J. Harder

Magnetic Particle Imaging (MPI) is a preclinical imaging technique capable of visualizing the spatio-temporal distribution of magnetic nanoparticles. The image reconstruction of this fast and dynamic process relies on efficiently solving an…

数值分析 · 数学 2021-09-15 Florian Lieb , Tobias Knopp

Magnetic particle imaging (MPI) offers unparalleled contrast and resolution for tracing magnetic nanoparticles. A common imaging procedure calibrates a system matrix (SM) that is used to reconstruct data from subsequent scans. The ill-posed…

图像与视频处理 · 电气工程与系统科学 2023-09-07 Alper Güngör , Baris Askin , Damla Alptekin Soydan , Can Barış Top , Emine Ulku Saritas , Tolga Çukur

We aim at the solution of inverse problems in imaging, by combining a penalized sparse representation of image patches with an unconstrained smooth one. This allows for a straightforward interpretation of the reconstruction. We formulate…

图像与视频处理 · 电气工程与系统科学 2025-03-18 Stanislas Ducotterd , Sebastian Neumayer , Michael Unser

The full-waveform inversion (FWI) addresses the computation and characterization of subsurface model parameters by matching predicted data to observed seismograms in the frame of nonlinear optimization. We formulate FWI as a nonlinearly…

最优化与控制 · 数学 2021-08-26 Ali Gholami , Hossein S. Aghamiry , Stéphane Operto

We present calculations that reconstruct electronic current densities in two stacked layers at known depths, using magnetic field data. Solving this inverse problem requires knowledge of the magnetic field in two planes -- one above both…

Inverting real images into the noise space is essential for editing tasks using diffusion models, yet existing methods produce non-Gaussian noise with poor editability due to the inaccuracy in early noising steps. We identify the root…

计算机视觉与模式识别 · 计算机科学 2026-03-27 Chen Min , Enze Jiang , Jishen Peng , Zheng Ma

CDI is a lensless imaging technique that enables atomic-resolution imaging of non-crystalline specimens and their dynamics. However, its broader implementation has been hindered by the instability and ill-posedness of its reconstruction…

光学 · 物理学 2025-12-11 Zhe Hu , Zisheng Yao , Yuhe Zhang , Pablo Villanueva-Perez

Distinguishing signal of young gas rich circumstellar disks from stellar signal in near infrared light is a difficult task. Current techniques such as Angular Differential Imaging (ADI) and Polarimetric Differential Imaging (PDI) cope with…

天体物理仪器与方法 · 物理学 2022-12-07 L. M. Stapper , C. Ginski

In this paper, we propose a novel deep convolutional neural network (CNN)-based algorithm for solving ill-posed inverse problems. Regularized iterative algorithms have emerged as the standard approach to ill-posed inverse problems in the…

计算机视觉与模式识别 · 计算机科学 2018-09-11 Kyong Hwan Jin , Michael T. McCann , Emmanuel Froustey , Michael Unser

We present a novel convolutional neural network architecture for photometric stereo (Woodham, 1980), a problem of recovering 3D object surface normals from multiple images observed under varying illuminations. Despite its long history in…

计算机视觉与模式识别 · 计算机科学 2018-05-30 Tatsunori Taniai , Takanori Maehara

Deep learning-based methods have revolutionized the field of imaging inverse problems, yielding state-of-the-art performance across various imaging domains. The best performing networks incorporate the imaging operator within the network…

计算机视觉与模式识别 · 计算机科学 2026-01-06 Romain Vo , Julián Tachella

The interaction between the foundation structures and the soil has been developed for many engineering applications. For the determination of the stress in foundation structure it is needed to determine the influence of the stiffness of…

数值分析 · 数学 2022-05-17 Leonardo Scandurra

Within the context of upcoming full-sky lensing surveys, the edge-preserving non- linear algorithm Aski is presented. Using the framework of Maximum A Posteriori inversion, it aims at recovering the full-sky convergence map from surveys…

宇宙学与河外天体物理 · 物理学 2015-05-13 C. Pichon , E. Thiebaut , S. Prunet , K. Benabed , S. Colombi , T. Sousbie , R. Teyssier

In radio astronomy, the challenge of reconstructing a sky map from time ordered data (TOD) is known as an inverse problem. Standard map-making techniques and gridding algorithms are commonly employed to address this problem, each offering…

天体物理仪器与方法 · 物理学 2023-06-28 Haolin Zhang , Shifan Zuo , Le Zhang

Phase retrieval, the problem of recovering lost phase information from measured intensity alone, is an inverse problem that is widely faced in various imaging modalities ranging from astronomy to nanoscale imaging. The current process of…

图像与视频处理 · 电气工程与系统科学 2024-06-12 Henry Chan , Youssef S. G. Nashed , Saugat Kandel , Stephan Hruszkewycz , Subramanian Sankaranarayanan , Ross J. Harder , Mathew J. Cherukara

Magnetic Particle Imaging (MPI) is a promising tracer-based, functional medical imaging technique which measures the non-linear magnetization response of magnetic nanoparticles to a dynamic magnetic field. For image reconstruction, system…

图像与视频处理 · 电气工程与系统科学 2021-08-26 Christina Brandt , Christiane Schmidt

Circumstellar disk images have highlighted a wide variety of morphological features. Recovering disk images from high-contrast angular differential imaging (ADI) sequences are however generally affected by geometrical biases, leading to…

天体物理仪器与方法 · 物理学 2023-11-08 Sandrine Juillard , Valentin Christiaens , Olivier Absil

This paper presents a novel strategy for high-fidelity image restoration by characterizing both local smoothness and nonlocal self-similarity of natural images in a unified statistical manner. The main contributions are three-folds. First,…

多媒体 · 计算机科学 2014-05-14 Jian Zhang , Debin Zhao , Ruiqin Xiong , Siwei Ma , Wen Gao