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Q1: Why deploy N wavefront sensors on a three mirror anastigmat (TMA) and not N + 1? Q2: Why measure M Zernike coefficients and not M + 1? Q3: Why control L rigid body degrees of freedom (total) on the secondary and tertiary and not L + 1?…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Paul L. Schechter , Rebecca Sobel Levinson

We propose and demonstrate two methods for modal decomposition in multi-mode fibres. Linearly polarized modes propagating in a slightly multi-mode fibre are easily retrieved from intensity measurements at the fibre output surface. The first…

Do object part localization methods produce bilaterally symmetric results on mirror images? Surprisingly not, even though state of the art methods augment the training set with mirrored images. In this paper we take a closer look into this…

Computer Vision and Pattern Recognition · Computer Science 2015-01-22 Heng Yang , Ioannis Patras

We investigate whether a three-mirror system, having secondary and the tertiary mirrors with surfaces warped by Zernike polynomials generated by active vase mirrors, is suitable to do the corrections of a fixed parabolic mirror observing at…

Astrophysics · Physics 2009-10-30 Gilberto Moretto , Ermanno F. Borra

Based on the ideas of arXiv:1710.06612, we consider the problem of minimization of the Holder-continuous non-smooth functional $f$ with non-positive convex (generally, non-smooth) Lipschitz-continuous functional constraint. We propose some…

Optimization and Control · Mathematics 2022-01-03 Fedor Stonyakin , Alexey Stepanov , Alexander Gasnikov , Alexander Titov

The non-orthogonality of algebraic polynomials of field coordinates traditionally used to model field-dependent corrections to astrometric measurements, gives rise to subtle adverse effects. In particular, certain field dependent…

Instrumentation and Methods for Astrophysics · Physics 2015-05-30 Valeri V. Makarov , Daniel R. Veillette , Gregory S. Hennessy , Benjamin F. Lane

Multiplicative noise (also known as speckle noise) models are central to the study of coherent imaging systems, such as synthetic aperture radar and sonar, and ultrasound and laser imaging. These models introduce two additional layers of…

Optimization and Control · Mathematics 2015-05-14 José M. Bioucas-Dias , Mário A. T. Figueiredo

The continuous development of the photovoltaic (PV) industry has raised high requirements for the quality of monocrystalline of PV module cells. When learning to segment defect regions in PV module cell images, Tiny Hidden Cracks (THC) lead…

Computer Vision and Pattern Recognition · Computer Science 2023-10-25 Jianye Yi , Xiaopin Zhong , Weixiang Liu , Zongze Wu , Yuanlong Deng , Zhengguang Wu

In astronomy and microscopy, distortions in the wavefront affect the dynamic range of a high contrast imaging system. These aberrations are either imposed by a turbulent medium such as the atmosphere, by static or thermal aberrations in the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-18 Benjamin Pope , Nick Cvetojevic , Anthony Cheetham , Frantz Martinache , Barnaby Norris , Peter Tuthill

It is well known that mirror descent may diverge or cycle on merely monotone variational inequalities. In this paper, we propose \emph{Target Mirror Descent} (TMD), a unified framework that stabilizes monotone flows via a target point…

Optimization and Control · Mathematics 2026-04-22 Yu-Wen Chen , Can Kizilkale , Murat Arcak

The regularity of refinable functions has been investigated deeply in the past 25 years using Fourier analysis, wavelet analysis, restricted and joint spectral radii techniques. However the shift-invariance of the underlying regular setting…

Numerical Analysis · Mathematics 2018-07-31 Maria Charina , Costanza Conti , Lucia Romani , Joachim Stöckler , Alberto Viscardi

Biophotonic signaling via axons has been proposed as a potential mode of neural communication, where information might be encoded not only in photon number and wavelength but also in polarization. Although earlier computational studies have…

Biological Physics · Physics 2026-05-18 Ethan Davies , Rishabh , Christoph Simon

Degradation-agnostic image restoration aims to handle diverse corruptions with one unified model, but faces fundamental challenges in balancing efficiency and performance across different degradation types. Existing approaches either…

Computer Vision and Pattern Recognition · Computer Science 2026-03-02 Bin Ren , Yawei Li , Xu Zheng , Yuqian Fu , Danda Pani Paudel , Hong Liu , Ming-Hsuan Yang , Luc Van Gool , Nicu Sebe

Optical imaging quality can be severely degraded by system and sample induced aberrations. Existing adaptive optics systems typically rely on iterative search algorithm to correct for aberrations and improve images. This study demonstrates…

In this paper, we study the problem of stereo matching from a pair of images with different resolutions, e.g., those acquired with a tele-wide camera system. Due to the difficulty of obtaining ground-truth disparity labels in diverse…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Xihao Chen , Zhiwei Xiong , Zhen Cheng , Jiayong Peng , Yueyi Zhang , Zheng-Jun Zha

The imaging and spectroscopy of habitable worlds will require large-aperture space-based telescopes, to increase the collecting area and the angular resolution. These large telescopes will necessarily use segmented primaries to fit in a…

Mobile photography is often limited by complex, lens-specific optical aberrations. While recent deep learning methods approach this as an end-to-end deblurring task, these "black-box" models lack explicit optical modeling and can…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Kartik Jhawar , Tamo Sancho Miguel Tandoc , Khoo Jun Xuan , Wang Lipo

Deformable mirrors are increasingly used in astronomy. However, they still are limited in stroke for active correction of high amplitude optical aberrations. Magnetic Liquid deformable mirrors (MLDMs) are a new technology that has…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 E. F. Borra

Nonconvex-nonconcave saddle-point optimization in machine learning has triggered lots of research for studying non-monotone variational inequalities (VI). In this work, we introduce two mirror frameworks, called mirror extragradient method…

Optimization and Control · Mathematics 2023-01-02 Hui Zhang , Yu-Hong Dai

In recent literature there are plenty of works that combine handcrafted and learnable regularizers to solve inverse imaging problems. While this hybrid approach has demonstrated promising results, the motivation for combining handcrafted…

Computer Vision and Pattern Recognition · Computer Science 2025-05-23 Alexandros Gkillas , Dimitris Ampeliotis , Kostas Berberidis