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This short article presents a mathematical formula required for metric corrections in image extraction and processing when using different length scale factors in three-dimensional space which is normally encountered in cryomicrotome image…

Quantitative Methods · Quantitative Biology 2012-09-05 Taha Sochi

Rod-based structures are commonly used in practical applications in science and engineering. However, in many design, analysis, and manufacturing tasks, handling the rod-based structures in three dimensions directly is generally…

Computational Geometry · Computer Science 2026-02-10 Mark Yan Lok Yip , Gary P. T. Choi

The development of metasurfaces has enabled unprecedented portability and functionality in flat optical devices. Spaceplates have recently been introduced as a complementary element to reduce the space between individual metalenses. This…

Optics · Physics 2022-01-26 Jordan T. R. Page , Orad Reshef , Robert W. Boyd , Jeff S. Lundeen

A main task in cryo-electron microscopy single particle reconstruction is to find a three-dimensional model of a molecule given a set of its randomly oriented and positioned noisy projection-images. In this work, we propose an algorithm for…

Computational Physics · Physics 2022-11-11 Adi Shasha Geva , Yoel Shkolnisky

Simulated maps of the microwave background (CMB) radiation are generally created using one of two methods: all-sky simulations use the spherical harmonic transform, while maps covering small areas approximate the sky as flat, allowing the…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-22 Mariona Giner Mascarell , Emory F. Bunn

Three-dimensional charge density maps computed by first-principles methods provide information about atom positions and the bonds between them, data which is particularly valuable when trying to understand the properties of point defects,…

Materials Science · Physics 2008-10-22 Christoph T. Koch

To evaluate the variability of multi-phase flow properties of porous media at the pore scale, it is necessary to acquire a number of representative samples of the void-solid structure. While modern x-ray computer tomography has made it…

Computer Vision and Pattern Recognition · Computer Science 2017-11-01 Lukas Mosser , Olivier Dubrule , Martin J. Blunt

X-ray computed tomography is a powerful tool for volumetric imaging, but requires the collection of a large number of low-noise projection images, which is often too time consuming, limiting its applicability. In our previous work…

Image and Video Processing · Electrical Eng. & Systems 2025-05-02 Zhenduo Shang , Thomas Blumensath

3D situational awareness is critical for any autonomous system. However, when operating underwater, environmental conditions often dictate the use of acoustic sensors. These acoustic sensors are plagued by high noise and a lack of 3D…

Robotics · Computer Science 2024-12-06 John McConnell , Ivana Collado-Gonzalez , Paul Szenher , Brendan Englot

Schemes for X-ray imaging single protein molecules using new x-ray sources, like x-ray free electron lasers (XFELs), require processing many frames of data that are obtained by taking temporally short snapshots of identical molecules, each…

Data Analysis, Statistics and Probability · Physics 2015-06-17 Kartik Ayyer , Hugh T. Philipp , Mark W. Tate , Veit Elser , Sol M. Gruner

Recently, the notions of self-orthogonal subspace codes and LCD subspace codes were introduced, and LCD subspace codes obtained from mutually unbiased weighing matrices were studied. In this paper, we provide a method of constructing…

Combinatorics · Mathematics 2024-07-09 Dean Crnković , Keita Ishizuka , Hadi Kharaghani , Sho Suda , Andrea Švob

We have developed a technique to map the three-dimensional structure of the local interstellar medium using a maximum entropy reconstruction technique. A set of column densities N to stars of known distance can in principle be used to…

Astrophysics · Physics 2009-10-31 John S. Arabadjis , Joel N. Bregman

We present a freely downloadable software package for modelling the dynamics of galaxies, which we call the Torus Mapper (TM). The package is based around `torus mapping', which is a non-perturbative technique for creating orbital tori for…

Astrophysics of Galaxies · Physics 2016-01-27 James Binney , Paul J McMillan

Inverse-designed Silicon photonic metastructures offer an efficient platform to perform analog computations with electromagnetic waves. However, due to computational difficulties, scaling up these metastructures to handle a large number of…

Autonomous navigation is one of the key requirements for every potential application of mobile robots in the real-world. Besides high-accuracy state estimation, a suitable and globally consistent representation of the 3D environment is…

Robotics · Computer Science 2024-03-05 Simon Boche , Sebastián Barbas Laina , Stefan Leutenegger

Direct imaging of exoplanets is a challenging task as it requires to reach a high contrast at very close separation to the star. Today, the main limitation in the high-contrast images is the quasi-static speckles that are created by…

Instrumentation and Methods for Astrophysics · Physics 2019-05-22 Benoît Pairet , Faustine Cantalloube , Carlos A. Gomez Gonzalez , Olivier Absil , Laurent Jacques

We demonstrate a compact and easy-to-build computational camera for single-shot 3D imaging. Our lensless system consists solely of a diffuser placed in front of a standard image sensor. Every point within the volumetric field-of-view…

Computer Vision and Pattern Recognition · Computer Science 2017-10-06 Nick Antipa , Grace Kuo , Reinhard Heckel , Ben Mildenhall , Emrah Bostan , Ren Ng , Laura Waller

In the supporting information file for article Dynamics of Defects in van der Waals Epitaxy of Bismuth Telluride Topological Insulators(J. Phys. Chem. C 2019, 123, 24818-24825, doi: 10.1021/acs.jpcc.9b05377), several topics on X-ray…

Iterative phase retrieval algorithms typically employ projections onto constraint subspaces to recover the unknown phases in the Fourier transform of an image, or, in the case of x-ray crystallography, the electron density of a molecule.…

Numerical Analysis · Mathematics 2025-10-20 Veit Elser

Tissues and organs are composed of distinct cell types that must operate in concert to perform physiological functions. Efforts to create high-dimensional biomarker catalogs of these cells are largely based on transcriptomic single-cell…

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