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A fast algorithm for the approximation of a low rank LU decomposition is presented. In order to achieve a low complexity, the algorithm uses sparse random projections combined with FFT-based random projections. The asymptotic approximation…

Numerical Analysis · Mathematics 2016-01-19 Yariv Aizenbud , Gil Shabat , Amir Averbuch

We present a novel algorithm for generating high quality holograms for Computer Generated Holography - Holographic Predictive Search. This approach is presented as an alternative to traditional Holographic Search Algorithms such as Direct…

Image and Video Processing · Electrical Eng. & Systems 2020-08-27 Peter J. Christopher , Youchao Wang , Timothy D. Wilkinson

Achieving a desirable balance between rendering quality and real-time performance is a long-standing challenge in modern game and rendering engines, particularly on resource-constrained mobile devices such as laptops, tablets, and…

Computer Vision and Pattern Recognition · Computer Science 2026-04-29 Baijun Tan , Francesco Moretti

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…

Unrolling a decoding algorithm allows to achieve extremely high throughput at the cost of increased area. Look-up tables (LUTs) can be used to replace functions otherwise implemented as circuits. In this work, we show the impact of…

Information Theory · Computer Science 2024-09-04 Pascal Giard , Syed Aizaz Ali Shah , Alexios Balatsoukas-Stimming , Maximilian Stark , Gerhard Bauch

Lookup-table (LUT) based neural networks can deliver ultra-low latency and excellent hardware efficiency on FPGAs by mapping arithmetic operations directly onto the logic primitives. However, state-of-the-art LUT-aware training (LAT)…

Hardware Architecture · Computer Science 2026-04-27 Chang Sun , Zhiqiang Que , Bakhtiar Zadeh , Qibin Liu , Kevin H. Alvarez , Wayne Luk , Maria Spiropulu

Ptychography promises diffraction limited resolution without the need for high resolution lenses. To achieve high resolution one has to solve the phase problem for many partially overlapping frames. Here we review some of the existing…

Optics · Physics 2012-09-24 C. Yang , J. Qian , A. Schirotzek , F. Maia , S. Marchesini

The image enhancement methods based on 3D lookup tables (3D LUTs) efficiently reduce both model size and runtime by interpolating pre-calculated values at the vertices. However, the 3D LUT methods have a limitation due to their lack of…

Image and Video Processing · Electrical Eng. & Systems 2025-08-25 Wontae Kim , Keuntek Lee , Nam Ik Cho

Fourier Ptychography is a recently proposed imaging technique that yields high-resolution images by computationally transcending the diffraction blur of an optical system. At the crux of this method is the phase retrieval algorithm, which…

Computer Vision and Pattern Recognition · Computer Science 2018-05-10 Lokesh Boominathan , Mayug Maniparambil , Honey Gupta , Rahul Baburajan , Kaushik Mitra

Lookup table (LUT) methods demonstrate considerable potential in accelerating image super-resolution inference. However, pursuing higher image quality through larger receptive fields and bit-depth triggers exponential growth in the LUT's…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Yuxuan Zhang , Zhikai Dong , Xinning Chai , Xiangyun Zhou , Yi Xu , Zhengxue Cheng , Li Song

FPGAs have distinct advantages as a technology for deploying deep neural networks (DNNs) at the edge. Lookup Table (LUT) based networks, where neurons are directly modeled using LUTs, help maximize this promise of offering ultra-low latency…

Machine Learning · Computer Science 2024-09-17 Binglei Lou , Richard Rademacher , David Boland , Philip H. W. Leong

3D color lookup tables (LUTs) enable precise color manipulation by mapping input RGB values to specific output RGB values. 3D LUTs are instrumental in various applications, including video editing, in-camera processing, photographic…

Computer Vision and Pattern Recognition · Computer Science 2024-12-23 Vahid Zehtab , David B. Lindell , Marcus A. Brubaker , Michael S. Brown

Phase retrieval, a nonlinear problem prevalent in imaging applications, has been extensively studied using random models, some of which with i.i.d. sensing matrix components. While these models offer robust reconstruction guarantees, they…

Optics · Physics 2024-09-10 Zhiyuan Hu , Julián Tachella , Michael Unser , Jonathan Dong

In this paper, we present Q# implementations for arbitrary single-variabled fixed-point arithmetic operations for a gate-based quantum computer based on lookup tables (LUTs). In general, this is an inefficent way of implementing a function…

Quantum Physics · Physics 2023-02-06 Rajiv Krishnakumar , Mathias Soeken , Martin Roetteler , William J. Zeng

Topological phase transitions, which do not adhere to Landau's phenomenological model (i.e. a spontaneous symmetry breaking process and vanishing local order parameters) have been actively researched in condensed matter physics. Machine…

Mesoscale and Nanoscale Physics · Physics 2021-03-03 Alexander Kerr , Geo Jose , Colin Riggert , Kieran Mullen

Large Language Model (LLM) inference becomes resource-intensive, prompting a shift toward low-bit model weights to reduce the memory footprint and improve efficiency. Such low-bit LLMs necessitate the mixed-precision matrix multiplication…

Hardware Architecture · Computer Science 2025-07-29 Zhiwen Mo , Lei Wang , Jianyu Wei , Zhichen Zeng , Shijie Cao , Lingxiao Ma , Naifeng Jing , Ting Cao , Jilong Xue , Fan Yang , Mao Yang

Ptychography is a popular technique to achieve diffraction limited resolution images of a two or three dimensional sample using high frame rate detectors. We introduce a relaxation of common projection algorithms to account for…

Phase retrieval is a nonlinear inverse problem that arises in a wide range of imaging modalities, from electron microscopy to Fourier ptychography. In particular, the reconstruction is facilitated when the sensing matrix is i.i.d. random,…

Particle size measurement based on digital holography with conventional algorithms are usually time-consuming and susceptible to noises associated with hologram quality and particle complexity, limiting its usage in a broad range of…

Applied Physics · Physics 2020-01-01 Siyao Shao , Kevin Mallery , Jiarong Hong

We present a fast randomized algorithm that computes a low rank LU decomposition. Our algorithm uses random projections type techniques to efficiently compute a low rank approximation of large matrices. The randomized LU algorithm can be…

Numerical Analysis · Mathematics 2016-02-02 Gil Shabat , Yaniv Shmueli , Yariv Aizenbud , Amir Averbuch