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Linear optical operations are fundamental and significant for both quantum mechanics and classical technologies. We demonstrate a non-cascaded approach to perform arbitrary unitary and non-unitary linear operations for N-dimensional…

Recent works have developed new projection-free first-order methods based on utilizing linesearches and normal vector computations to maintain feasibility. These oracles can be cheaper than orthogonal projection or linear optimization…

Optimization and Control · Mathematics 2024-05-01 Thabo Samakhoana , Benjamin Grimmer

Transmitting structured light robustly through complex random media is crucial in many applications, from sensing to communication. Unfortunately, the spatial structure of light is distorted in such media due to refractive index…

Optics · Physics 2025-08-19 Cade Peters , Kelsey Everts , Tatjana Kleine , Pedro Ornelas , Andrew Forbes

Free-space light beams with complex intensity patterns, or non-trivial phase structure, are demanded in diverse fields, ranging from classical and quantum optical communications, to manipulation and imaging of microparticles and cells.…

Optics · Physics 2016-12-13 Andrea Crespi , Francesca Bragheri

Imaging through diffusers presents a challenging problem with various digital image reconstruction solutions demonstrated to date using computers. We present a computer-free, all-optical image reconstruction method to see through random…

Non-line-of-sight (NLOS) imaging aims at reconstructing targets obscured from the direct line of sight. Existing NLOS imaging algorithms require dense measurements at rectangular grid points in a large area of the relay surface, which…

Image and Video Processing · Electrical Eng. & Systems 2023-06-21 Xintong Liu , Jianyu Wang , Leping Xiao , Zuoqiang Shi , Xing Fu , Lingyun Qiu

Holographic displays promise several benefits including high quality 3D imagery, accurate accommodation cues, and compact form-factors. However, holography relies on coherent illumination which can create undesirable speckle noise in the…

Graphics · Computer Science 2023-09-20 Grace Kuo , Florian Schiffers , Douglas Lanman , Oliver Cossairt , Nathan Matsuda

We propose and demonstrate a new imaging technique to noninvasively see through scattering layers with the aid of a spatial light modulator (SLM). A relay system projects the incoherent light pattern emitting from the scattering layer onto…

Optics · Physics 2019-05-30 Saswata Mukherjee , A. Vijayakumar , Joseph Rosen

Our proposed method of random phase-free holography using virtual convergence light can obtain large reconstructed images exceeding the size of the hologram, without the assistance of random phase. The reconstructed images have low-speckle…

A method for displaying volumetric images, which exploits our binocular vision and does not require eyewear, is discussed. The display can be rendered as a matrix of pivoting micromirrors irradiated by a light beam; each micromirror focuses…

Optics · Physics 2007-07-04 Oleg G. Semyonov

Lensless imaging is an elegant approach to high-resolution microscopy, which is rapidly gaining popularity in applications where imaging optics are problematic. However, current lensless imaging methods require objects to be placed within a…

We describe an algorithm that, given any full-rank matrix A having fewer rows than columns, can rapidly compute the orthogonal projection of any vector onto the null space of A, as well as the orthogonal projection onto the row space of A,…

Numerical Analysis · Computer Science 2011-05-26 Vladimir Rokhlin , Mark Tygert

We propose a new system to visualize depth-dependent patterns and images on solid objects with complex geometry using multiple projectors. The system, despite consisting of conventional passive LCD projectors, is able to project different…

Computer Vision and Pattern Recognition · Computer Science 2016-09-13 Takuto Hirukawa , Marco Visentini-Scarzanella , Hiroshi Kawasaki , Ryo Furukawa , Shinsaku Hiura

Estimation of a precision matrix (i.e., inverse covariance matrix) is widely used to exploit conditional independence among continuous variables. The influence of abnormal observations is exacerbated in a high dimensional setting as the…

Methodology · Statistics 2021-05-17 Peng Tang , Huijing Jiang , Heeyoung Kim , Xinwei Deng

Structured light, where complex optical fields are tailored in all their degrees of freedom, has become highly topical of late, advanced by a sophisticated toolkit comprising both linear and nonlinear optics. Removing undesired structure…

Programmable linear optical interferometers are promising for classical and quantum applications. Their integrated design makes it possible to create more scalable and stable devices. To use them in practice, one has to reconstruct the…

Quantum Physics · Physics 2024-01-12 B. I. Bantysh , A. Yu. Chernyavskiy , S. A. Fldzhyan , Yu. I. Bogdanov

A novel scheme is presented for generation of a multipartite W state for arbitrary number of qubits. Based on a recent proposal of entanglement without touching, it serves to demonstrate the potential of particle indistinguishability as a…

Quantum Physics · Physics 2021-08-05 Pawel Blasiak , Ewa Borsuk , Marcin Markiewicz , Yong-Su Kim

Lithography is fundamental to integrated circuit fabrication, necessitating large computation overhead. The advancement of machine learning (ML)-based lithography models alleviates the trade-offs between manufacturing process expense and…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Guojin Chen , Zehua Pei , Haoyu Yang , Yuzhe Ma , Bei Yu , Martin D. F. Wong

A new algorithm is presented for computing a direct solution to a system of consistent linear equations. It produces a minimum norm particular solution, a generalized inverse (of type {124}), and a null space projection operator. In…

Rings and Algebras · Mathematics 2013-04-30 Michael F. Zimmer

Optical computing systems provide an alternate hardware model which appears to be aligned with the demands of neural network workloads. However, the challenge of implementing energy efficient nonlinearities in optics -- a key requirement…

Optics · Physics 2025-08-04 N. Richardson , C. Bosch , R. P. Adams