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In single molecule localisation super-resolution microscopy the need for repeated image capture limits the imaging speed, while the size of fluorescence probes limits the possible theoretical localisation resolution. Here, we demonstrated a…

Various techniques have been developed to measure the 2D and 3D positions and 2D and 3D orientations of fluorescent molecules with improved precision over standard epifluorescence microscopes. Due to the challenging signal-to-background…

Optics · Physics 2021-02-02 Oumeng Zhang , Matthew D. Lew

Single fluorescent molecules, behaving as ideal electric dipole emitters, are powerful nanoscopic probes of complex optical fields. Here, this property is exploited to precisely map the polarization and vectorial structure of tightly…

In some super-resolution techniques, adjacent points are illuminated at different times. Thereby, their locations and light intensities can be detected even if the images are very blurred due to diffraction. According to conventional…

Image and Video Processing · Electrical Eng. & Systems 2019-12-10 Edward Y. Sheffield

Among the approaches in three-dimensional (3D) single molecule localization microscopy, there are several point spread function (PSF) engineering approaches, in which depth information of molecules is encoded in 2D images. Usually,the…

Optics · Physics 2024-07-11 Hanzhe Wu , Danni Chen , YiHong Jiand Gan Xiang , Heng Li , Bin Yu , JunLe Qu

Existing super-resolution microscopy is often constrained by inherent trade-offs between resolution, acquisition speed, phototoxicity, and hardware complexity. Computational post-processing approaches offer a promising alternative, but they…

When a single molecule is detected in a wide-field microscope, the image approximates the point spread function of the system. However, as the distribution of molecules becomes denser and their images begin to coincide, existing solutions…

Optics · Physics 2013-09-02 Anthony Barsic , Ginni Grover , Rafael Piestun

Single particle reconstruction has recently emerged in 3D fluorescence microscopy as a powerful technique to improve the axial resolution and the degree of fluorescent labeling. It is based on the reconstruction of an average volume of a…

Image and Video Processing · Electrical Eng. & Systems 2023-01-24 Thibaut Eloy , Etienne Baudrier , Marine Laporte , Virginie Hamel , Paul Guichard , Denis Fortun

In single-molecule microscopy it is necessary to locate with high precision point sources from noisy observations of the spectrum of the signal at frequencies capped by $f_c$, which is just about the frequency of natural light. This paper…

Information Theory · Computer Science 2015-04-06 Veniamin I. Morgenshtern , Emmanuel J. Candes

We study an inverse problem for Light Sheet Fluorescence Microscopy (LSFM), where the density of fluorescent molecules needs to be reconstructed. Our first step is to present a mathematical model to describe the measurements obtained by an…

Analysis of PDEs · Mathematics 2020-08-26 Evelyn Cueva , Matias Courdurier , Axel Osses , Victor Castañeda , Benjamin Palacios , Steffen Härtel

Single dye molecules at cryogenic temperatures display many spectroscopic phenomena known from free atoms and are thus promising candidates for fundamental quantum optical studies. However, the existing techniques for the detection of…

Quantum Physics · Physics 2008-02-12 Gert Wrigge , Ilja Gerhardt , Jaesuk Hwang , Gert Zumofen , Vahid Sandoghdar

Single-beam super-resolution microscopy, also known as superlinear microscopy, exploits the nonlinear response of fluorescent probes in confocal microscopy. The technique requires no complex purpose-built system, light field modulation, or…

The advent of single molecule optics has had a profound impact in fields ranging from biophysics to material science, photophysics, and quantum optics. However, all existing room-temperature single molecule methods have been based on…

Mesoscale and Nanoscale Physics · Physics 2010-07-22 Michele Celebrano , Philipp Kukura , Alois Renn , Vahid Sandoghdar

Refractive Index Tomography is the inverse problem of reconstructing the continuously-varying 3D refractive index in a scene using 2D projected image measurements. Although a purely refractive field is not directly visible, it bends light…

Computer Vision and Pattern Recognition · Computer Science 2023-12-06 Brandon Zhao , Aviad Levis , Liam Connor , Pratul P. Srinivasan , Katherine L. Bouman

Nanoscale localization of point emitters is critical to several methods in optical fluorescence microscopy, including single-molecule super-resolution imaging and tracking. While the precision of the localization procedure has been the…

Optics · Physics 2020-07-15 Petar N. Petrov , W. E. Moerner

Single-pixel imaging has emerged as a key technique in fluorescence microscopy, where fast acquisition and reconstruction are crucial. In this context, images are reconstructed from linearly compressed measurements. In practice, total…

Image and Video Processing · Electrical Eng. & Systems 2025-07-28 Serban C. Tudosie , Valerio Gandolfi , Shivaprasad Varakkoth , Andrea Farina , Cosimo D'Andrea , Simon Arridge

In this paper, motivated by diffraction of traveling light waves, a simple mathematical model is proposed, both for the multivariate super-resolution problem and the problem of blind-source separation of real-valued exponential sums. This…

Numerical Analysis · Mathematics 2017-08-01 Charles K. Chui , Hrushikesh N. Mhaskar

Molecular fluorescence microscopy is a leading approach to super-resolution and nanoscale imaging in life and material sciences. However, super-resolution fluorescence microscopy is often bottlenecked by system-specific calibrations and…

Single-molecule pulling techniques have emerged as versatile tools for probing the noncovalent forces holding together the secondary and tertiary structure of macromolecules. They also constitute a way to study at the single-molecule level…

Biological Physics · Physics 2013-02-19 Ignacio Franco , Mark A. Ratner , George C. Schatz

We present a novel experimental setup in which magnetic and optical tweezers are combined for torque and force transduction onto single filamentous molecules in a transverse configuration to allow simultaneous mechanical measurement and…

Biomolecules · Quantitative Biology 2015-06-24 Zhaokun Zhou , Helen Miller , Adam J. M. Wollman , Mark C. Leake