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We demonstrate numerical refocusing in coherent confocal laser scanning microscopy based on synthetic optical holography. This physics-based approach implements a computational propagation on the complex signal recovered in synthetic…

Over the last decade, the light microscope has become increasingly useful as a quantitative tool for studying colloidal systems. The ability to obtain particle coordinates in bulk samples from micrographs is particularly appealing. In this…

Soft Condensed Matter · Physics 2007-09-27 Matthew C. Jenkins , Stefan U. Egelhaaf

There is growing interest in the use of coded aperture imaging systems for a variety of applications. Using an analysis framework based on mutual information, we examine the fundamental limits of such systems---and the associated optimum…

Image and Video Processing · Electrical Eng. & Systems 2017-12-14 Adam Yedidia , Christos Thrampoulidis , Gregory Wornell

Diffractive lenses have recently been applied to the domain of multispectral imaging in the X-ray and UV regimes where they can achieve very high resolution as compared to reflective and refractive optics. Conventionally, spectral…

Image and Video Processing · Electrical Eng. & Systems 2020-05-26 Evan Widloski , Ulas Kamaci , Farzad Kamalabadi

This paper aims to maximize optical force and torque on arbitrary micro- and nano-scale objects using numerically optimized structured illumination. By developing a numerical framework for computer-automated design of 3d vector-field…

A theoretical approach to determine the optimal form of the near-field optical microscope probe is proposed. An analytical expression of the optimal probe form with subwavelength aperture has been obtained. The advantages of the probe with…

Optics · Physics 2009-11-11 N. M. Arslanov

The process of dynamic state estimation (filtering) based on point process observations is in general intractable. Numerical sampling techniques are often practically useful, but lead to limited conceptual insight about optimal…

Machine Learning · Statistics 2016-09-13 Yuval Harel , Ron Meir , Manfred Opper

A recently introduced two-channel confocal microscope with correlated detection promises up to 50% improvement in transverse spatial resolution [Simon, Sergienko, Optics Express {\bf 18}, 9765 (2010)] via the use of photon correlations.…

Quantum Physics · Physics 2015-05-18 D. S. Simon , A. V. Sergienko

When attempting to recover functions from observational data, one naturally seeks to do so in an optimal manner with respect to some modeling assumption. With a focus put on the worst-case setting, this is the standard goal of Optimal…

Optimization and Control · Mathematics 2020-04-02 Mahmood Ettehad , Simon Foucart

The performance of a confocal imaging system may be no better than a general-purpose widefield system if it is not properly maintained or quality controlled. The publication of ISO 21073, 'Confocal microscopes- Optical data of fluorescence…

Other Quantitative Biology · Quantitative Biology 2020-11-20 Glyn Nelson , Laurent Gelman , Orestis Faklaris , Roland Nitschke , Alex Laude

Optical microscopy is an indispensable tool in life sciences research, but conventional techniques require compromises between imaging parameters like speed, resolution, field-of-view, and phototoxicity. To overcome these limitations,…

Quantitative Methods · Quantitative Biology 2024-04-01 Leonor Morgado , Estibaliz Gómez-de-Mariscal , Hannah S. Heil , Ricardo Henriques

This article focuses on numerical efficiency of projection algorithms for solving linear optimization problems. The theoretical foundation for this approach is provided by the basic result that bounded finite dimensional linear optimization…

Optimization and Control · Mathematics 2023-09-08 Evgeni Nurminski , Roman Tarasov

Neural Cellular Automata (NCA) offer a robust and interpretable approach to image classification, making them a promising choice for microscopy image analysis. However, a performance gap remains between NCA and larger, more complex…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Chen Yang , Michael Deutges , Jingsong Liu , Han Li , Nassir Navab , Carsten Marr , Ario Sadafi

A large number of different feature detectors has been proposed so far. Any existing approach presents strengths and weaknesses, which make a detector optimal only for a limited range of applications. A tool capable of selecting the optimal…

Computer Vision and Pattern Recognition · Computer Science 2016-05-20 Bruno Ferrarini , Shoaib Ehsan , Naveed Ur Rehman , Ales Leonardis , Klaus D. McDonald-Maier

A simple yet efficient computational algorithm for computing the continuous optimal experimental design for linear models is proposed. An alternative proof the monotonic convergence for $D$-optimal criterion on continuous design spaces are…

Computation · Statistics 2018-04-10 Jiangtao Duan , Wei Gao , Hon Keung Tony Ng

A fluorescence correlation spectroscopy (FCS) system based on two independent measurement volumes is presented. The optical setup and data acquisition hardware are detailed, as well as a complete protocol to control the location, size and…

Optics · Physics 2009-08-26 P. Ferrand , M. Pianta , A. Kress , A. Aillaud , H. Rigneault , D. Marguet

Incremental computation aims to compute more efficiently on changed input by reusing previously computed results. We give a high-level overview of works on incremental computation, and highlight the essence underlying all of them, which we…

Programming Languages · Computer Science 2025-10-15 Yanhong A. Liu

High-numerical-aperture optical coherence tomography (OCT) enables sub-cellular imaging but faces a trade-off between lateral resolution and depth of focus. Computational refocusing can correct defocus in Fourier-domain OCT, yet its…

Optics · Physics 2026-05-22 Yue Zhu , Shuichi Makita , Naoki Fukutake , Yoshiaki Yasuno

Regression with sparse inputs is a common theme for large scale models. Optimizing the underlying linear algebra for sparse inputs allows such models to be estimated faster. At the same time, centering the inputs has benefits in improving…

Computation · Statistics 2019-10-30 Jeffrey Wong

We present the software system developed to implement the Locus Algorithm, a novel algorithm designed to maximise the performance of differential photometry systems by optimising the number and quality of reference stars in the Field of…

Instrumentation and Methods for Astrophysics · Physics 2020-03-12 Kevin Nolan , Eugene Hickey , Oisín Creaner
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