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We present a numerical method for the reconstruction and optimization of complex field synthesis using coherent pulse combination systems. A genetic algorithm utilizing a Fourier optics based propagation method is developed for accurate…

光学 · 物理学 2020-05-29 Randy Lemons , Sergio Carbajo

We investigate the inverse source problem for the wave equation, arising in photo- and thermoacoustic tomography. There exist quite a few theoretically exact inversion formulas explicitly expressing solution of this problem in terms of the…

偏微分方程分析 · 数学 2018-08-01 Ngoc Do , Leonid Kunyansky

There is proposed a method for improving the convergence of Fourier series by function systems, orthogonal at the segment, the application of which allows for smooth functions to receive uniformly convergent series. There is also proposed…

数值分析 · 数学 2018-05-18 Volodymyr Denysiuk

The advent of synchrotron sources has led to an increasing availability of high resolution Compton Profiles J(pz) and a consequent renewed interest in the reconstruction of the corresponding full momentum densities rho(p). We present…

材料科学 · 物理学 2016-08-31 G. Kontrym-Sznajd , M. Samsel , R. N. West

We present an approach for the planar surface reconstruction of a scene from images with limited overlap. This reconstruction task is challenging since it requires jointly reasoning about single image 3D reconstruction, correspondence…

计算机视觉与模式识别 · 计算机科学 2022-08-09 Samir Agarwala , Linyi Jin , Chris Rockwell , David F. Fouhey

This paper proposes the combination of SAR and microwave reflection tomography for biomedical imaging applications. The proposed method can achieve accuracies of less than 5mm and does not suffer from instability during reconstruction.…

医学物理 · 物理学 2018-05-01 Kevin K. M. Chan , Daniel Oloumi , Pierre Boulanger , Karumudi Rambabu

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…

计算机视觉与模式识别 · 计算机科学 2024-10-30 Janka Hatvani , Adrian Basarab , Jean-Yves Tourneret , Miklós Gyöngy , Denis Kouamé

We outline the super-resolution reconstruction problem posed as a maximization of probability. We then introduce an interpolation method based on polygonal pixel overlap, express it as a linear operator, and use it to improve…

计算机视觉与模式识别 · 计算机科学 2012-10-17 Stéfan J. van der Walt , B. M. Herbst

The Fast Proximal Gradient Method (FPGM) and the Monotone FPGM (MFPGM) for minimization of nonsmooth convex functions are introduced and applied to tomographic image reconstruction. Convergence properties of the sequence of objective…

最优化与控制 · 数学 2020-08-25 Elias S. Helou , Marcelo V. W. Zibetti , Gabor T. Herman

In this paper, we deal with the problem of reconstruction from Radon random samples in local shift-invariant signal space. Different from sampling after Radon transform, we consider sampling before Radon transform, where the sample set is…

最优化与控制 · 数学 2025-11-05 Zhanpeng Deng , Jiao Li , Jun Xian

In this paper we consider the fundamental operations dilation and erosion of mathematical morphology. Many powerful image filtering operations are based on their combinations. We establish homomorphism between max-plus semi-ring of integers…

图像与视频处理 · 电气工程与系统科学 2023-05-05 Vivek Sridhar , Keyvan Shahin , Michael Breuß , Marc Reichenbach

Augmented Lagrangian method (also called as method of multipliers) is an important and powerful optimization method for lots of smooth or nonsmooth variational problems in modern signal processing, imaging, optimal control and so on.…

最优化与控制 · 数学 2021-08-31 Hongpeng Sun

We present NOVA3R, an effective approach for non-pixel-aligned 3D reconstruction from a set of unposed images in a feed-forward manner. Unlike pixel-aligned methods that tie geometry to per-ray predictions, our formulation learns a global,…

计算机视觉与模式识别 · 计算机科学 2026-03-06 Weirong Chen , Chuanxia Zheng , Ganlin Zhang , Andrea Vedaldi , Daniel Cremers

In application of tomography imaging, limited-angle problem is a quite practical and important issue. In this paper, an iterative reprojection-reconstruction (IRR) algorithm using a modified Papoulis-Gerchberg (PG) iterative scheme is…

计算机视觉与模式识别 · 计算机科学 2019-05-01 Yuli Sun , Jinxu Tao , Conggui Liu

Traditional sampling schemes often assume that the sampling locations are known. Motivated by the recent bioimaging technique known as cryogenic electron microscopy (cryoEM), we consider the problem of reconstructing an unknown 3D structure…

信号处理 · 电气工程与系统科学 2024-04-16 Renke Wang , Francien G. Bossema , Thierry Blu , Pier Luigi Dragotti

Tomography is the three-dimensional reconstruction of an object from images taken at different angles. The term classical tomography is used, when the imaging beam travels in straight lines through the object. This assumption is valid for…

定量方法 · 定量生物学 2016-10-10 Paul Müller , Mirjam Schürmann , Jochen Guck

Multidimensional imaging, capturing image data in more than two dimensions, has been an emerging field with diverse applications. Due to the limitation of two-dimensional detectors in obtaining the high-dimensional image data, computational…

图像与视频处理 · 电气工程与系统科学 2020-06-16 Didem Dogan , Figen S. Oktem

In this paper we propose a new approach for tomographic reconstruction with spatially varying regularization parameter. Our work is based on the SA-TV image restoration model proposed in [3] where an automated parameter selection rule for…

数值分析 · 数学 2018-11-27 Yiqiu Dong , Carola-Bibiane Schönlieb

We demonstrate that simultaneous reconstruction of scattering and absorption of a mesoscopic system using angularly-resolved measurements of scattered light intensity is possible. Image reconstruction is realized based on the algebraic…

光学 · 物理学 2011-01-07 Lucia Florescu , John C. Schotland , Vadim A. Markel

The aim of this research is to reconstruct the 3D X-ray refractive index gradient maps by the proposed vector Radon transform and its inverse, assuming that the small-angle deviation condition is met. Theoretical analyses show that the…

医学物理 · 物理学 2023-09-20 Keliang Liao , Qili He , Panyun Li , Liang Luo , Peiping Zhu