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We present methods for obtaining new solutions to the bispectral problem. We achieve this by giving its abstract algebraic version suitable for generalizations. All methods are illustrated by new classes of bispectral operators.

q-alg · Mathematics 2009-10-30 B. Bakalov , E. Horozov , M. Yakimov

This paper comprehensively reviews the recent development of image deblurring, including non-blind/blind, spatially invariant/variant deblurring techniques. Indeed, these techniques share the same objective of inferring a latent sharp image…

Computer Vision and Pattern Recognition · Computer Science 2014-09-25 Ruxin Wang , Dacheng Tao

Investigation of cell structure is hardly imaginable without bright-field microscopy. Numerous modifications such as depth-wise scanning or videoenhancement make this method being state-of-the-art. This raises a question what maximal…

Image and Video Processing · Electrical Eng. & Systems 2020-10-29 Kirill Lonhus , Renata Rychtarikova , Ganna Platonova , Dalibor Stys

Orbital solutions for binary or multiple stellar systems that combine astrometry (e.g., position angles and angular separations) with spectroscopy (radial velocities) have important advantages over astrometric-only or spectroscopic-only…

Astrophysics · Physics 2007-05-23 Guillermo Torres

We have demonstrated the capability of spectral multiplexing in multi-distance diffractive imaging, enabling the reconstruction of samples with diverse spectral responses. While previous methods like ptychography utilize redundancy in…

Optics · Physics 2024-05-31 Qijun You , Lingshuo Meng , Yun Gao , Qing Liao , Wei Cao , Peixiang Lu

Disentangling techniques are often needed to obtain the spectra of the individual components of binary or multiple systems. A thorough analysis of the shift-and-add algorithm of Marchenko, Moffat, & Eenens (1998) reveals that in many cases…

Solar and Stellar Astrophysics · Physics 2020-10-06 Edwin A. Quintero , Philippe Eenens , Gregor Rauw

This paper introduces a novel feature extraction technique for the analysis of spectral line Stokes profiles. The procedure is based on the use of an auto-associative artificial neural network containing non-linear hidden layers. The neural…

Astrophysics · Physics 2009-11-10 H. Socas-Navarro

Hyperspectral imaging enables versatile applications due to its competence in capturing abundant spatial and spectral information, which are crucial for identifying substances. However, the devices for acquiring hyperspectral images are…

Image and Video Processing · Electrical Eng. & Systems 2022-07-14 Jingang Zhang , Runmu Su , Wenqi Ren , Qiang Fu , Felix Heide , Yunfeng Nie

Based on luminosity contributions, we develop a spectroscopic modelling method to derive atmospheric parameters of component stars in binary systems. The method is designed for those spectra of binaries which show double-lined features due…

Solar and Stellar Astrophysics · Physics 2023-03-15 Xiang-Lei Chen , A-Li Luo , Jian-Jun Chen , Rui Wang , Xiao-Bin Zhang , Wen Hou , Bo Qiu , Fang Zuo

Blended light is an important source of degeneracy in the characterization of microlensing events, particularly in binary-lens and high magnification events. We show how the techniques of image subtraction can be applied to form an image of…

Astrophysics · Physics 2007-05-23 Andrew Gould , Jin H. An

The principal goal of this paper is to specify conditions of detection of unresolved binaries by multicolor photometry. We have developed a method for estimating the critical distance at which an unresolved binary of given mass and age can…

Solar and Stellar Astrophysics · Physics 2018-03-14 D. Chulkov , M. Prokhorov , O. Malkov , S. Sichevskij , N. Krussanova , A. Mironov , A. Zakharov , A. Kniazev

Modern microscopy techniques are developing towards high-resolution imaging, and tremendous progress has been made in past decades; however, the imaging of individual biological macromolecules at atomic resolution using short-wavelength…

Optics · Physics 2022-01-12 Tatiana Latychevskaia

In this article we compare the cross-correlation and breakfinder techniques applied to the measurements of redshifts from low-resolution spectra. We assume spectra obtained from multinarrowband imagery, a technique for multi-object…

Astrophysics · Physics 2009-10-28 R. Cabanac , E. F. Borra

In recent years, spectral clustering has become a standard method for data analysis used in a broad range of applications. In this paper we propose a new class of algorithms for multiway spectral clustering based on optimization of a…

Machine Learning · Computer Science 2016-05-05 James Voss , Mikhail Belkin , Luis Rademacher

Time series with multiple periodically correlated components is a complex problem with comparatively limited prior research. Most existing time series models are designed to accommodate simple periodically correlated components and tend to…

Methodology · Statistics 2025-09-29 Jie Yao , Kai Zhang , Eric Rose , Edward Valachovic

With the increasing availability of various sensor technologies, we now have access to large amounts of multi-block (also called multi-set, multi-relational, or multi-view) data that need to be jointly analyzed to explore their latent…

Computational Engineering, Finance, and Science · Computer Science 2015-09-01 Guoxu Zhou , Qibin Zhao , Yu Zhang , Tülay Adalı , Shengli Xie , Andrzej Cichocki

We present a general method for obtaining the spectra of large graphs with short cycles using ideas from statistical mechanics of disordered systems. This approach leads to an algorithm that determines the spectra of graphs up to a high…

Disordered Systems and Neural Networks · Physics 2023-01-12 D. Bollé , F. L. Metz , I. Neri

In this chapter we provide a theoretically founded investigation of state-of-the-art learning approaches for inverse problems from the point of view of spectral reconstruction operators. We give an extended definition of regularization…

Numerical Analysis · Mathematics 2024-06-05 Martin Burger , Samira Kabri

In recent years, there has been a proliferation of wide-field sky surveys to search for a variety of transient objects. Using relatively short focal lengths, the optics of these systems produce undersampled stellar images often marred by a…

Astrophysics · Physics 2009-11-13 Fang Yuan , Carl W. Akerlof

Hyperspectral imaging has become a significant source of valuable data for astronomers over the past decades. Current instrumental and observing time constraints allow direct acquisition of multispectral images, with high spatial but low…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Claire Guilloteau , Thomas Oberlin , Olivier Berné , Nicolas Dobigeon
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