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State-of-the-art methods for solving smooth optimization problems are nonlinear conjugate gradient, low memory BFGS, and Majorize-Minimize (MM) subspace algorithms. The MM subspace algorithm which has been introduced more recently has shown…

Optimization and Control · Mathematics 2016-08-24 Emilie Chouzenoux , Jean-Christophe Pesquet

Hologram is an ideal method for naked eye three-dimensional (3D) display, and computer-generated holography (CGH) makes it possible to reconstruct virtual objects. However, the large pixel size of common CGH devices results in shortages in…

Optics · Physics 2019-09-13 Hui Gao , Yuxi Wang , Xuhao Fan , Fenzhang Jiao , Jinsong Xia , Wei Xiong , Minghui Hong

Phase-only spatial light modulators (SLMs) are used in optical systems for several purposes. In this article, the main landmarks of SLM-based imaging systems are surveyed. In addition to conventional two-dimensional imaging, these systems…

Optics · Physics 2026-03-10 Joseph Rosen

Holography plays a crucial role in optics applications, but it traditionally requires complex setup and bulky devices, being unfavourable for optics integration. While metasurface-based holograms are ultra-compact and easy to realize,…

Optics · Physics 2024-06-17 Tong Liu , Changhong Dai , Dongyi Wang , Lei Zhou

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

The theory of holographic algorithms, which are polynomial time algorithms for certain combinatorial counting problems, yields insight into the hierarchy of complexity classes. In particular, the theory produces algebraic tests for a…

Computational Complexity · Computer Science 2009-04-07 J. M. Landsberg , Jason Morton , Serguei Norine

Holographic Predictive Search (HPS) is a novel approach to search-based hologram generation that uses a mathematical understanding of the optical transforms to make informed optimisation decisions. Existing search techniques such as Direct…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Peter J. Christopher , Ralf Mouthaan , George S. D. Gordon , Timothy D. Wilkinson

The Visual Turing Test is the ultimate goal to evaluate the realism of holographic displays. Previous studies have focused on addressing challenges such as limited \'etendue and image quality over a large focal volume, but they have not…

Computer Vision and Pattern Recognition · Computer Science 2023-07-13 Florian Schiffers , Praneeth Chakravarthula , Nathan Matsuda , Grace Kuo , Ethan Tseng , Douglas Lanman , Felix Heide , Oliver Cossairt

In certain applications or wavelength regimes, essential optical components for imaging systems are either unavailable or challenging to fabricate. To address this, we propose an optics-free classical ghost imaging (GI) scheme utilizing…

Optics · Physics 2026-03-09 Yuhan Guo , Xiangyu Yin , Chunguang Meng , Liming Li , Huiqiang Liu

Traditional search algorithms for computer hologram generation such as Direct Search and Simulated Annealing offer some of the best hologram qualities at convergence when compared to rival approaches. Their slow generation times and high…

Image and Video Processing · Electrical Eng. & Systems 2020-08-28 Peter J. Christopher , Jamie D. Lake , Daoming Dong , Hannah J. Joyce , Timothy D. Wilkinson

In the domain of image processing, often real-time constraints are required. In particular, in safety-critical applications, such as X-ray computed tomography in medical imaging or advanced driver assistance systems in the automotive…

Programming Languages · Computer Science 2015-02-27 Oliver Reiche , Konrad Häublein , Marc Reichenbach , Frank Hannig , Jürgen Teich , Dietmar Fey

We describe three algorithms for generating binary-valued holograms. Our methods are optimised for producing large arrays of tightly focussed optical tweezers for trapping particles. Binary-valued holograms allow us to use a digital mirror…

Optics · Physics 2014-09-08 Dustin Stuart , Oliver Barter , Axel Kuhn

This contribution deals with image restoration in optical systems with coherent illumination, which is an important topic in astronomy, coherent microscopy and radar imaging. Such optical systems suffer from wavefront distortions, which are…

Instrumentation and Methods for Astrophysics · Physics 2017-04-04 Claudius Zelenka , Reinhard Koch

Holography is capable of rendering three-dimensional scenes with full-depth control, and delivering transformative experiences across numerous domains, including virtual and augmented reality, education, and communication. However,…

Optics · Physics 2024-09-12 Zhenxing Dong , Yuye Ling , Yan Li , Yikai Su

Modularity is one of the most widely used quality measures for graph clusterings. Maximizing modularity is NP-hard, and the runtime of exact algorithms is prohibitive for large graphs. A simple and effective class of heuristics coarsens the…

Data Structures and Algorithms · Computer Science 2009-09-22 Andreas Noack , Randolf Rotta

Lensless imaging is a popular research field for the advantages of small size, wide field-of-view and low aberration in recent years. However, some traditional lensless imaging methods suffer from slow convergence, mechanical errors and…

Computer generated holography requires high-speed spatial light modulators (SLMs) for dynamically patterning light in 3D. Piston-motion micromirror-based SLMs support high-speed ($\geq$ 10 kHz) phase modulation; however, fabricating…

Computer-generated holography (CGH) can be used to display three-dimensional (3D) images and has a special feature that no other technology possesses: it can reconstruct arbitrary object wavefronts. In this study, we investigated a…

Optics · Physics 2023-10-17 Shuhei Yoshida

We propose a new learning-based approach for 3D particle field imaging using holography. Our approach uses a U-net architecture incorporating residual connections, Swish activation, hologram preprocessing, and transfer learning to cope with…

Image and Video Processing · Electrical Eng. & Systems 2020-02-19 Siyao Shao , Kevin Mallery , Santosh Kumar , Jiarong Hong

With the recent proliferation of large-scale learning problems,there have been a lot of interest on distributed machine learning algorithms, particularly those that are based on stochastic gradient descent (SGD) and its variants. However,…

Machine Learning · Computer Science 2015-12-07 Ruiliang Zhang , Shuai Zheng , James T. Kwok