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What is the best representation for doing euclidean geometry on computers? These notes from a SIGGRAPH 2019 short course entitled "Geometric algebra for computer graphics" introduce projective geometric algebra (PGA) as a modern framework…

Graphics · Computer Science 2020-08-19 Charles G. Gunn

Digital micromirror devices are a popular type of spatial light modulators for wavefront shaping applications. While they offer several advantages when compared to liquid crystal modulators, such as polarization insensitivity and…

Optics · Physics 2023-11-29 R. Gutiérrez-Cuevas , S. M. Popoff

This paper proposes a novel heterogeneous grid convolution that builds a graph-based image representation by exploiting heterogeneity in the image content, enabling adaptive, efficient, and controllable computations in a convolutional…

Computer Vision and Pattern Recognition · Computer Science 2021-04-23 Ryuhei Hamaguchi , Yasutaka Furukawa , Masaki Onishi , Ken Sakurada

We construct universal geometric coefficients for the cluster algebra associated to the four-punctured sphere and obtain, as a by-product, the g-vectors of cluster variables. We also construct the rational part of the mutation fan. These…

Combinatorics · Mathematics 2026-05-13 Emily Barnard , Emily Meehan , Nathan Reading , Shira Viel

In this note we show how the Quantum Information Metric can be computed holographically using a perturbative approach. In particular when the deformation of the conformal field theory state is induced by a scalar operator the corresponding…

High Energy Physics - Theory · Physics 2017-09-19 Andrea Trivella

We introduce a conditional Generative Adversarial Network (cGAN) approach to generate cloud reflectance fields (CRFs) conditioned on large scale meteorological variables such as sea surface temperature and relative humidity. We show that…

Atmospheric and Oceanic Physics · Physics 2020-04-16 Victor Schmidt , Mustafa Alghali , Kris Sankaran , Tianle Yuan , Yoshua Bengio

Here we present practical methods for simulation and reconstruction of in-line digital holograms recorded with plane and spherical waves. The algorithms described here are applicable to holographic imaging of an object exhibiting absorption…

Optics · Physics 2023-06-29 Tatiana Latychevskaia , Hans-Werner Fink

Metasurface-generated holography has emerged as a promising route for fully reproducing vivid scenes by manipulating the optical properties of light using ultra-compact devices. However, achieving multiple holographic images using a single…

Galaxy morphologies play an essential role in the study of the evolution of galaxies. The determination of morphologies is laborious for a large amount of data giving rise to machine learning-based approaches. Unfortunately, most of these…

Machine Learning · Computer Science 2025-10-17 Zhuo Cao , Lena Krieger , Hanno Scharr , Ira Assent

Color encoding of depth is shown to occur naturally in images of objects observed through diffraction gratings under common white light illumination. A synthetic image is then obtained from a single point of view, a phenomenon that can be…

Optics · Physics 2007-05-23 J. J. Lunazzi

Crystal structures can be viewed as assemblies of space-filling polyhedra, which play a critical role in determining material properties such as ionic conductivity and dielectric constant. However, most conventional crystal structure…

Materials Science · Physics 2026-03-20 Tomoyasu Yokoyama , Kazuhide Ichikawa , Hisashi Naito

Binary amplitude spatial light modulators, such as digital micromirror devices (DMDs), are increasingly relevant for computer generated holography due to their high refresh rates, low cost, and due to the emergence of subwavelength pixel…

High harmonic generation (HHG) is an established means of producing coherent, short wavelength, ultrafast pulses from a compact set-up. Table-top high-harmonic sources are increasingly being used to image physical and biological systems…

The interference gating is a novel method for robust time-resolved electron holographic measurements by directly switching the interference. Here, a new arrangement is presented in which a biprism in the condenser aperture as a fast…

Applied Physics · Physics 2024-05-16 Tolga Wagner , Tore Niermann , Felix Urban , Michael Lehmann

Gravitational holography is argued to render the cosmological constant stable against divergent quantum corrections. This provides a technically natural solution to the cosmological constant problem. Evidence for quantum stability of the…

High Energy Physics - Theory · Physics 2007-05-23 Scott Thomas

In the low-energy limit, the near region of a generic Kerr black hole has been conjectured to be holographically dual to a two-dimensional conformal field theory. In this paper, we consider a test object orbiting in the near region of a…

High Energy Physics - Theory · Physics 2024-11-07 Jun Nian , Weijie Tian

In this work, the experimental optical generation of the fractional Hankel-Bessel vortex beams were investigated through the holographic technique by means of computer generated holograms (CGHs) and reproduced in a spatial light modulator…

Coarse-graining (CG) of molecular simulations simplifies the particle representation by grouping selected atoms into pseudo-beads and drastically accelerates simulation. However, such CG procedure induces information losses, which makes…

Machine Learning · Computer Science 2022-06-20 Wujie Wang , Minkai Xu , Chen Cai , Benjamin Kurt Miller , Tess Smidt , Yusu Wang , Jian Tang , Rafael Gómez-Bombarelli

How does one generalize differential geometric constructs such as curvature of a manifold to the discrete world of graphs and other combinatorial structures? This problem carries significant importance for analyzing models of discrete…

Combinatorics · Mathematics 2023-06-27 J. F. Du Plessis , Xerxes D. Arsiwalla

Near-field Acoustic Holography (NAH) is a well-known problem aimed at estimating the vibrational velocity field of a structure by means of acoustic measurements. In this paper, we propose a NAH technique based on Convolutional Neural…

Sound · Computer Science 2021-06-30 Marco Olivieri , Mirco Pezzoli , Fabio Antonacci , Augusto Sarti