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Identifying discrete patterns in binary data is an important dimensionality reduction tool in machine learning and data mining. In this paper, we consider the problem of low-rank binary matrix factorisation (BMF) under Boolean arithmetic.…

Optimization and Control · Mathematics 2021-08-05 Reka A. Kovacs , Oktay Gunluk , Raphael A. Hauser

Two-level logic minimization is a central problem in logic synthesis, and has applications in reliability analysis and automated reasoning. This paper represents a method of minimizing Boolean sum of products function with binary decision…

Data Structures and Algorithms · Computer Science 2012-03-29 Debajit Sensarma , Subhashis Banerjee , Krishnendu Basuli , Saptarshi Naskar , Samar Sen Sarma

Complex vector light fields, classically entangled in polarization and phase, have become ubiquitous in a wide variety of research fields. This has triggered the demonstration of a wide variety of generation techniques. Of particular…

Optics · Physics 2017-08-09 Carmelo Rosales-Guzmán , Nkosiphile Bhebhe , Andrew Forbes

Beam halo is an important factor in any high intensity accelerator. It can cause difficulties in the control of the beam, emittance growth, particle loss and even damage to the accelerator. It is therefore essential to understand the…

Accelerator Physics · Physics 2015-06-04 H. D. Zhang , R. B. Fiorito , A. G. Shkvarunets , R. A. Kishek , C. P. Welsch

The design and implementation of a multiplexed spiral phase mask in an experimental optical tweezer setup are presented. This diffractive optical element allows the generation of multiple concentric vortex beams with independent topological…

Optical tweezers have become essential tools to manipulate atoms or molecules at a single particle level. However, using standard diffracted-limited optical systems, the transverse size of the trap is lower bounded by the optical…

We report a novel method to generate arbitrary optical focus arrays (OFAs). Our approach rapidly produces computer-generated holograms (CGHs) to precisely control the positions and the intensities of the foci. This is achieved by replacing…

Optics · Physics 2024-10-24 Xin Liu , Yiwen Hu , Shijie Tu , Cuifang Kuang , Xu Liu , Xiang Hao

Due to the proliferation of spatial light modulators, digital holography is finding wide-spread use in fields from augmented reality to medical imaging to additive manufacturing to lithography to optical tweezing to telecommunications.…

Image and Video Processing · Electrical Eng. & Systems 2020-05-19 Peter J. Christopher , George S. D. Gordon , Timothy D. Wilkinson

In this paper we develop optimal algorithms in the binary-forking model for a variety of fundamental problems, including sorting, semisorting, list ranking, tree contraction, range minima, and ordered set union, intersection and difference.…

Data Structures and Algorithms · Computer Science 2020-06-26 Guy E. Blelloch , Jeremy T. Fineman , Yan Gu , Yihan Sun

The controlled modulation of an optical wavefront is required for aberration correction, digital phase conjugation or patterned photostimulation. For most of these applications it is desirable to control the wavefront modulation at the…

Instrumentation and Detectors · Physics 2018-01-09 Maximilian Hoffmann , Ioannis N. Papadopoulos , Benjamin Judkewitz

This paper presents an application of digital Fourier holography for selective imaging of scatterers with different sizes in turbid media such as biological tissues. A combination of Fourier holography and high-resolution digital recording,…

Optics · Physics 2007-05-23 Sergey A. Alexandrov , P. Meredith , T. J. McIntyre , A. V. Zvyagin

We describe an algorithm to enhance and binarize a fingerprint image. The algorithm is based on accurate determination of orientation flow of the ridges of the fingerprint image by computing variance of the neighborhood pixels around a…

Computer Vision and Pattern Recognition · Computer Science 2009-07-03 Simant Dube

Despite its potential for label-free particle diagnostics, holographic microscopy is limited by specialized processing methods that struggle to generalize across diverse settings. We introduce a deep learning architecture leveraging human…

Optics · Physics 2024-11-26 Shyam Kumar , Jiarong Hong

In recent years, image blending has gained popularity for its ability to create visually stunning content. However, the current image blending algorithms mainly have the following problems: manually creating image blending masks requires a…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Haochen Xue , Mingyu Jin , Chong Zhang , Yuxuan Huang , Qian Weng , Xiaobo Jin

Digital holography measures the complex optical field and transfer matrix of a device, polarization-diversity is often achieved through spatial multiplexing. We introduce angular multiplexing, to increase flexibility in the optical setup.…

Diffractive optical elements that divide an input beam into a set of replicas are used in many optical applications ranging from image processing to communications. Their design requires time-consuming optimization processes, which, for a…

Holographic wave-shaping has found numerous applications across the physical sciences, especially since the development of digital spatial-light modulators (SLMs). A key challenge in digital holography consists in finding optimal hologram…

Image and Video Processing · Electrical Eng. & Systems 2019-11-05 Jannes Gladrow

Achieving high-precision light manipulation is crucial for delivering information through complex media with high fidelity. However, existing spatial light modulation devices face a fundamental tradeoff between speed and accuracy. Digital…

Optics · Physics 2026-03-16 Li-Yu Yu , Sixian You

This paper presents the results of a comprehensive study on the optimization of the optical system for independent amplitude and phase wavefront manipulation, which is based on a digital micromirror device implementation. The parameters of…

Optics · Physics 2020-10-05 Alexandra Georgieva , Andrey Belashov , Nikolay V. Petrov

In recent years, consumer-level depth cameras have been adopted for various applications. However, they often produce depth maps at only a moderately high frame rate (approximately 30 frames per second), preventing them from being used for…

Graphics · Computer Science 2018-11-06 Ming-Ze Yuan , Lin Gao , Hongbo Fu , Shihong Xia
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