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We test the effects of reconstruction techniques on 2D data to determine the best approach. We obtained a time-series of spectropolarimetric data in the Fe I line at 630.25 nm with the Goettingen Fabry-Perot Interferometer (FPI) that are…

太阳与恒星天体物理 · 物理学 2013-03-14 K. G. Puschmann , C. Beck

Images collected with ground-based telescopes suffer blurring and distortions from turbulence in Earth's atmosphere. Adaptive optics (AO) can only partially compensate for these effects. Neither multi-frame blind deconvolution (MFBD) nor…

天体物理仪器与方法 · 物理学 2022-12-21 Mats G. Löfdahl , Tomas Hillberg

Focal plane wavefront sensing is an appealing technique to cophase multiple aperture telescopes. Phase diversity, operable with any aperture configuration or source extension, generally suffers from high computing load. In this Letter, we…

天体物理仪器与方法 · 物理学 2020-12-07 Sebastien Vievard , Aurelie Bonnefois , Frederic Cassaing , Joseph Montri , Laurent Mugnier

Blind deconvolution (BD), the resolution of a signal and a filter given their convolution, arises in many applications. Without further constraints, BD is ill-posed. In practice, subspace or sparsity constraints have been imposed to reduce…

信息论 · 计算机科学 2015-05-14 Yanjun Li , Kiryung Lee , Yoram Bresler

We introduce a novel multichannel blind deconvolution (BD) method that extracts sparse and front-loaded impulse responses from the channel outputs, i.e., their convolutions with a single arbitrary source. A crucial feature of this…

信号处理 · 电气工程与系统科学 2019-05-22 Pawan Bharadwaj , Laurent Demanet , Aimé Fournier

Sample-induced aberrations and optical imperfections limit the resolution of fluorescence microscopy. Phase diversity is a powerful technique that leverages complementary phase information in sequentially acquired images with deliberately…

Least squares deconvolution (LSD) is a powerful method of extracting high-precision average line profiles from the stellar intensity and polarization spectra. Despite its common usage, the LSD method is poorly documented and has never been…

太阳与恒星天体物理 · 物理学 2015-05-19 O. Kochukhov , V. Makaganiuk , N. Piskunov

Solving inverse and optimization problems over solutions of nonlinear partial differential equations (PDEs) on complex spatial domains is a long-standing challenge. Here we introduce a method that parameterizes the solution using spectral…

数值分析 · 数学 2025-10-30 James V. Roggeveen , Michael P. Brenner

In this paper, we apply the Feature Space Decomposition (FSD) method developed in [LS24, GLS25, LSSW26, ALSS26] to obtain, under fairly general conditions, matching upper and lower bounds for the population excess risk of spectral methods…

统计理论 · 数学 2026-05-18 Guillaume Lecué , Zhifan Li , Zong Shang

Waveform decomposition is needed as a first step in the extraction of various types of geometric and spectral information from hyperspectral full-waveform LiDAR echoes. We present a new approach to deal with the "Pseudo-monopulse" waveform…

信号处理 · 电气工程与系统科学 2023-06-12 Yuhao Xia , Shilong Xu , Hui Shao , Ahui Hou , Jiajie Fang , Fei Han , Youlong Chen , Jiaqi Wen , Yuwei Chen , Yihua Hu

Due to limited size and imperfect of the optical components in a spectrometer, aberration has inevitably been brought into two-dimensional multi-fiber spectrum image in LAMOST, which leads to obvious spacial variation of the point spread…

天体物理仪器与方法 · 物理学 2020-10-28 Jiali Xu , Qian Yin , Ping Guo , Xin Zheng

The spectral deferred correction (SDC) method is class of iterative solvers for ordinary differential equations (ODEs). It can be interpreted as a preconditioned Picard iteration for the collocation problem. The convergence of this method…

数值分析 · 数学 2021-11-03 Gitte Kremling , Robert Speck

Continuous wavefront sensing benefits space observatories in on-orbit optical performance maintenance. To measure the phase of a wavefront, phase retrieval is an attractive technique as it uses multiple point spread function (PSF) images…

天体物理仪器与方法 · 物理学 2024-09-17 Hyukmo Kang , Kyle Van Gorkom , Meghdoot Biswas , Daewook Kim , Ewan S. Douglas

We address the estimation of seismic wavefields by means of Multidimensional Deconvolution (MDD) for various redatuming applications. While offering more accuracy than conventional correlation-based redatuming methods, MDD faces challenges…

数值分析 · 数学 2024-04-03 Daria Sushnikova , Matteo Ravasi , David Keyes

In applications such as multi-receiver radars and ultrasound array systems, the observed signals can often be modeled as a linear convolution of an unknown signal which represents the transmit pulse and sparse filters which describe the…

信号处理 · 电气工程与系统科学 2023-07-19 Satish Mulleti , Kiryung Lee , Yonina C. Eldar

Recent advances in neural rendering have achieved impressive results on photorealistic shading and relighting, by using a multilayer perceptron (MLP) as a regression model to learn the rendering equation from a real-world dataset. Such…

计算机视觉与模式识别 · 计算机科学 2025-12-23 Zhuo He , Yingdong Ru , Qianying Liu , Paul Henderson , Nicolas Pugeault

A method for spatial deconvolution of spectra is presented. It follows the same fundamental principles as the ``MCS image deconvolution algorithm'' (Magain, Courbin, Sohy, 1998) and uses information contained in the spectrum of a reference…

天体物理学 · 物理学 2009-10-31 F. Courbin , P. Magain , M. Kirkove , S. Sohy

The increasingly crowded spectrum has spurred the design of joint radar-communications systems that share hardware resources and efficiently use the radio frequency spectrum. We study a general spectral coexistence scenario, wherein the…

信息论 · 计算机科学 2023-06-21 Edwin Vargas , Kumar Vijay Mishra , Roman Jacome , Brian M. Sadler , Henry Arguello

Removing speckle noise from medical ultrasound images while preserving image features without introducing artifact and distortion is a major challenge in ultrasound image restoration. In this paper, we propose a multiframe-based adaptive…

图像与视频处理 · 电气工程与系统科学 2021-09-30 Jayanta Dey , Md. Kamrul Hasan

Realistic physical phenomena exhibit random fluctuations across many scales in the input and output processes. Models of these phenomena require stochastic PDEs. For three-dimensional coupled (vector-valued) stochastic PDEs (SPDEs), for…

计算工程、金融与科学 · 计算机科学 2022-08-24 Ajit Desai , Mohammad Khalil , Chris L. Pettit , Dominique Poirel , Abhijit Sarkar
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