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Structured illumination microscopy (SIM) is one of the most versatile super-resolution techniques. Yet, its application to live imaging has been so far mainly limited to fluorescent and stationary specimens. Here, we present advancements in…

Within classical optics, one may add microscopic "roughness" to a macroscopically flat mirror so that parallel rays of a given angle are reflected at different outgoing angles. Taking the limit (as the roughness becomes increasingly…

Probability · Mathematics 2012-04-12 Omer Angel , Krzysztof Burdzy , Scott Sheffield

Optical microscopy is one of the oldest scientific instruments that is still used in forefront research. Ernst Abbe's nineteenth century formulation of the resolution limit in microscopy let generations of scientists believe that optical…

Optics · Physics 2015-06-09 Siegfried Weisenburger , Vahid Sandoghdar

The problem of object restoration in the case of spatially incoherent illumination is considered. A regularized solution to the inverse problem is obtained through a probabilistic approach, and a numerical algorithm based on the statistical…

Optics · Physics 2009-11-13 Enrico De Micheli , Giovanni Alberto Viano

The paper reviews progress in imaging in radio interferometry for the period 1993-1996. Unlike an optical telescope, the basic measurements of a radio interferometer (correlations between antennas) are indirectly related to a sky brightness…

Astrophysics · Physics 2007-05-23 R. J. Sault , T. A. Oosterloo

Fluorescence microscopy is of vital importance for understanding biological function. However most fluorescence experiments are only qualitative inasmuch as the absolute number of fluorescent particles can often not be determined.…

The modeling of binary microlensing light curves via the standard sampling-based method can be challenging, because of the time-consuming light-curve computation and the pathological likelihood landscape in the high-dimensional parameter…

Instrumentation and Methods for Astrophysics · Physics 2022-10-17 Haimeng Zhao , Wei Zhu

The ability to control and manipulate elastic waves is important for applications such as structural health monitoring, signal processing, and vibration isolations. In this paper, we investigated the feasibility of using the Rays Inserting…

Applied Physics · Physics 2022-08-16 Liuxian Zhao , Chuanxing Bi , Miao Yu

Optical analog circuits have attracted attention as promising alternatives to traditional electronic circuits for signal processing tasks due to their potential for low-latency and low-power computations. However, implementing iterative…

Image and Video Processing · Electrical Eng. & Systems 2025-06-18 Taisei Kato , Ryo Hayakawa , Soma Furusawa , Kazunori Hayashi , Youji Iiguni

We present a method for determining the atom number distribution of few atoms in a tight optical tweezer from their fluorescence distributions. In the tight tweezer regime, the detection light causes rapid atom loss due to light-assisted…

Atomic Physics · Physics 2025-06-19 M. Weyland , L. Sanchez , P. Ruksasakchai , M. F. Andersen

The calculus of variations applied to the image processing requires some numerical models able to perform the variations of images and the extremization of appropriate actions. To produce the variations of images, there are several…

Computer Vision and Pattern Recognition · Computer Science 2012-01-18 Amelia Carolina Sparavigna

A very simple and efficient local variational iteration method for solving problems of nonlinear science is proposed in this paper. The analytical iteration formula of this method is derived first using a general form of first order…

Numerical Analysis · Computer Science 2019-04-26 Xuechuan Wang , Qiuyi Xu , Satya N. Atluri

Gravitational microlensing of gamma-ray bursts (GRBs) provides a unique opportunity to probe compact dark matter and small-scale structures in the Universe. However, identifying such microlensed GRBs within large data sets is a significant…

High Energy Astrophysical Phenomena · Physics 2025-10-20 Mohammad H. Zhoolideh Haghighi , Zeinab Kalantari , Sohrab Rahvar , Alaa Ibrahim

The use of probabilistic amplification for astronomical imaging is discussed. Probabilistic single photon amplification has been theoretically proven and practically demonstrated in quantum optical laboratories. In astronomy it should allow…

Instrumentation and Methods for Astrophysics · Physics 2018-06-25 Aglae Kellerer , Peter Marek , Sylvestre Lacour

Orbital angular momentum (OAM) of light is an attractive degree of freedom for funda- mentals studies in quantum mechanics. In addition, the discrete unbounded state-space of OAM has been used to enhance classical and quantum…

Quantum Physics · Physics 2013-11-18 Mohammad Mirhosseini , Mehul Malik , Zhimin Shi , Robert W. Boyd

We introduce a procedure to automatically count and locate the fluorescent particles in a microscopy image. Our procedure employs an approximate likelihood estimator derived from a Poisson random field model for photon emission. Estimates…

Applications · Statistics 2010-11-10 John Hughes , John Fricks , William Hancock

FRET measurements can provide dynamic spatial information on length scales smaller than the diffraction limit of light. Several methods exist to measure FRET between fluorophores, including Fluorescence Lifetime Imaging Microscopy (FLIM),…

Quantitative Methods · Quantitative Biology 2017-01-09 Bryan Kaye , Peter J. Foster , Tae Yeon Yoo , Daniel J. Needleman

The data reduction procedure for radio interferometers can be viewed as a combined calibration and imaging problem. We present an algorithm that unifies cross-calibration, self-calibration, and imaging. Being a Bayesian method, that…

Instrumentation and Methods for Astrophysics · Physics 2019-07-23 Philipp Arras , Philipp Frank , Reimar Leike , Rüdiger Westermann , Torsten Enßlin

Posterior sampling for high-dimensional Bayesian inverse problems is a common challenge in real-world applications. Randomized Maximum Likelihood (RML) is an optimization based methodology that gives samples from an approximation to the…

Computation · Statistics 2024-09-05 Valentin Breaz , Richard Wilkinson

Fluorescence lifetime imaging microscopy (FLIM) is a powerful quantitative technique that provides metabolic and molecular contrast, offering strong translational potential for label-free, real-time diagnostics. However, its clinical…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Paloma Casteleiro Costa , Parnian Ghapandar Kashani , Xuhui Liu , Alexander Chen , Ary Portes , Julien Bec , Laura Marcu , Aydogan Ozcan