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The phase retrieval problem in the classical setting is to reconstruct real/complex functions from the magnitudes of their Fourier/frame measurements. In this paper, we consider a new phase retrieval paradigm in the…

泛函分析 · 数学 2019-09-06 Yang Chen , Cheng Cheng , Qiyu Sun

Quality feature representation is key to instance image retrieval. To attain it, existing methods usually resort to a deep model pre-trained on benchmark datasets or even fine-tune the model with a task-dependent labelled auxiliary dataset.…

计算机视觉与模式识别 · 计算机科学 2022-08-15 Zhongyan Zhang , Lei Wang , Yang Wang , Luping Zhou , Jianjia Zhang , Peng Wang , Fang Chen

Fine-grained text-to-image retrieval aims to retrieve a fine-grained target image with a given text query. Existing methods typically assume that each training image is accurately depicted by its textual descriptions. However, textual…

计算机视觉与模式识别 · 计算机科学 2025-04-11 Zehong Ma , Hao Chen , Wei Zeng , Limin Su , Shiliang Zhang

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…

光学 · 物理学 2024-09-10 Zhiyuan Hu , Julián Tachella , Michael Unser , Jonathan Dong

A new algorithm is developed to jointly recover a temporal sequence of images from noisy and under-sampled Fourier data. Specifically, we consider the case where each data set is missing vital information that prevents its (individual)…

数值分析 · 数学 2022-05-13 Yao Xiao , Jan Glaubitz , Anne Gelb , Guohui Song

The problem of phase retrieval, i.e., the problem of recovering a function from the magnitudes of its Fourier transform, naturally arises in various fields of physics, such as astronomy, radar, speech recognition, quantum mechanics and,…

泛函分析 · 数学 2020-02-17 Philipp Grohs , Sarah Koppensteiner , Martin Rathmair

With the success of deep learning methods in many image processing tasks, deep learning approaches have also been introduced to the phase retrieval problem recently. These approaches are different from the traditional iterative optimization…

计算机视觉与模式识别 · 计算机科学 2022-07-29 Qiuliang Ye , Li-Wen Wang , Daniel P. K. Lun

Iterative phase retrieval methods based on the Gerchberg-Saxton (GS) or Fienup algorithm require a large number of iterations to converge to a meaningful solution. For complex-valued or phase objects, these approaches also suffer from…

图像与视频处理 · 电气工程与系统科学 2019-02-20 Mansi Butola , Sunaina , Kedar Khare

The problem of phase retrieval is revisited and studied from a fresh perspective. In particular, we establish a connection between the phase retrieval problem and the sensor network localization problem, which allows us to utilize the vast…

最优化与控制 · 数学 2018-03-22 Sherry Xue-Ying Ni , Man-Chung Yue , Kam-Fung Cheung , Anthony Man-Cho So

Recently Fourier Ptychography (FP) has attracted great attention, due to its marked effectiveness in leveraging snapshot numbers for spatial resolution in large field-of-view imaging. To acquire high signal-to-noise-ratio (SNR) images under…

光学 · 物理学 2015-02-19 Liheng Bian , Jinli Suo , Guoan Zheng , KaiKai Guo , Feng Chen , Qionghai Dai

Reference-based image super-resolution (RefSR) is a promising SR branch and has shown great potential in overcoming the limitations of single image super-resolution. While previous state-of-the-art RefSR methods mainly focus on improving…

计算机视觉与模式识别 · 计算机科学 2022-11-09 Lin Zhang , Xin Li , Dongliang He , Fu Li , Yili Wang , Zhaoxiang Zhang

Fourier phase retrieval is a classical problem of restoring a signal only from the measured magnitude of its Fourier transform. Although Fienup-type algorithms, which use prior knowledge in both spatial and Fourier domains, have been widely…

计算机视觉与模式识别 · 计算机科学 2020-11-23 Eunju Cha , Chanseok Lee , Mooseok Jang , Jong Chul Ye

Comparing images to recommend items from an image-inventory is a subject of continued interest. Added with the scalability of deep-learning architectures the once `manual' job of hand-crafting features have been largely alleviated, and…

信息检索 · 计算机科学 2017-11-15 Y Qian , E Vazquez , B Sengupta

In Fourier ptychography, multiple low resolution images are captured and subsequently combined computationally into a high-resolution, large-field of view micrograph. A theoretical image-formation model based on the assumption of plane-wave…

光学 · 物理学 2022-06-22 Tomas Aidukas , Lars Loetgering , Andrew Robert Harvey

Phase retrieval seeks to recover a signal x from the amplitude |Ax| of linear measurements. We cast the phase retrieval problem as a non-convex quadratic program over a complex phase vector and formulate a tractable relaxation (called…

最优化与控制 · 数学 2013-07-23 Irène Waldspurger , Alexandre d'Aspremont , Stéphane Mallat

The problem of recovering a signal from its Fourier magnitude is of paramount importance in various fields of engineering and applied physics. Due to the absence of Fourier phase information, some form of additional information is required…

信息论 · 计算机科学 2016-05-25 Kishore Jaganathan , Yonina C. Eldar , Babak Hassibi

Iterative phase retrieval algorithms typically employ projections onto constraint subspaces to recover the unknown phases in the Fourier transform of an image, or, in the case of x-ray crystallography, the electron density of a molecule.…

数值分析 · 数学 2025-10-20 Veit Elser

Fourier phase retrieval (FPR) is a challenging task widely used in various applications. It involves recovering an unknown signal from its Fourier phaseless measurements. FPR with few measurements is important for reducing time and hardware…

图像与视频处理 · 电气工程与系统科学 2023-07-19 Liyuan Ma , Hongxia Wang , Ningyi Leng , Ziyang Yuan

The use of Fourier methods in wave-front reconstruction can significantly reduce the computation time for large telescopes with a high number of degrees of freedom. However, Fourier algorithms for discrete data require a rectangular data…

天体物理仪器与方法 · 物理学 2017-06-07 Charlotte Z. Bond , Carlos M. Correia , Jean-François Sauvage , Benoit Neichel , Thierry Fusco

Image retargeting aims to alter the size of the image with attention to the contents. One of the main obstacles to training deep learning models for image retargeting is the need for a vast labeled dataset. Labeled datasets are unavailable…

计算机视觉与模式识别 · 计算机科学 2023-06-14 MohammadHossein Givkashi , MohammadReza Naderi , Nader Karimi , Shahram Shirani , Shadrokh Samavi