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We propose a novel probabilistic method for detection of objects in noisy images. The method uses results from percolation and random graph theories. We present an algorithm that allows to detect objects of unknown shapes in the presence of…

统计理论 · 数学 2011-02-24 Mikhail A. Langovoy , Olaf Wittich

Image based rendering is a fundamental problem in computer vision and graphics. Modern techniques often rely on depth image for the 3D construction. However for most of the existing depth cameras, the large and unpredictable noises can be…

计算机视觉与模式识别 · 计算机科学 2016-02-17 Rashi Chaudhary , Himanshu Dasgupta

Recovering images from optical interferometric observations is one of the major challenges in the field. Unlike the case of observations at radio wavelengths, in the optical the atmospheric turbulence changes the phases on a very short time…

This paper considers the noisy sparse phase retrieval problem: recovering a sparse signal $x \in \mathbb{R}^p$ from noisy quadratic measurements $y_j = (a_j' x )^2 + \epsilon_j$, $j=1, \ldots, m$, with independent sub-exponential noise…

统计理论 · 数学 2015-06-11 T. Tony Cai , Xiaodong Li , Zongming Ma

Formation of a bright-field microscopic image of a transparent phase object is described in terms of elementary geometrical optics. Our approach is based on the premise that image replicates the intensity distribution (real or virtual) at…

光学 · 物理学 2018-02-14 A. K. Khitrin , M. A. Model

Computational time reversal imaging can be used to locate the position of multiple scatterers in a known background medium. The current methods for computational time reversal imaging are based on the null subspace projection operator,…

数据分析、统计与概率 · 物理学 2009-06-16 M. Andrecut

We develop a novel method for detection of signals and reconstruction of images in the presence of random noise. The method uses results from percolation theory. We specifically address the problem of detection of multiple objects of…

应用统计 · 统计学 2013-12-02 Mikhail Langovoy , Michael Habeck , Bernhard Schölkopf

Complex blur such as the mixup of space-variant and space-invariant blur, which is hard to model mathematically, widely exists in real images. In this paper, we propose a novel image deblurring method that does not need to estimate blur…

计算机视觉与模式识别 · 计算机科学 2020-11-17 Chunzhi Gu , Xuequan Lu , Ying He , Chao Zhang

We propose a novel probabilistic method for detection of objects in noisy images. The method uses results from percolation and random graph theories. We present an algorithm that allows to detect objects of unknown shapes in the presence of…

统计理论 · 数学 2013-12-02 Mikhail A. Langovoy , Olaf Wittich

Conventional LIDAR systems require hundreds or thousands of photon detections to form accurate depth and reflectivity images. Recent photon-efficient computational imaging methods are remarkably effective with only 1.0 to 3.0 detected…

应用统计 · 统计学 2019-11-13 Joshua Rapp , Vivek K Goyal

Fluorescent imaging plays a critical role in a myriad of scientific endeavors, particularly in the biological sciences. Three-dimensional imaging of fluorescent intensity often requires serial data acquisition, that is voxel-by-voxel…

光学 · 物理学 2015-10-27 Jeffrey J. Field , David G. Winters , Randy A. Bartels

We build a collaborative filtering recommender system to restore images with impulse noise for which the noisy pixels have been previously identified. We define this recommender system in terms of a new color image representation using…

计算机视觉与模式识别 · 计算机科学 2017-02-27 Alfredo Nava-Tudela

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…

Recovering images corrupted by multiplicative noise is a well known challenging task. Motivated by the success of multiscale hierarchical decomposition methods (MHDM) in image processing, we adapt a variety of both classical and new…

数值分析 · 数学 2023-10-11 Joel Barnett , Wen Li , Elena Resmerita , Luminita Vese

Lenses are designed to fulfill Fermats principle such that all light interferes constructively in its focus, guaranteeing its maximum concentration. It can be shown that imaging via an unmodified full pupil yields the maximum transfer…

We present the first three-dimensional theoretical model of microparticle-assisted super-resolution imaging, enabling accurate simulation of virtual image formation. The model reveals that accounting for partial spatial coherence of…

We propose a novel statistical hypothesis testing method for detection of objects in noisy images. The method uses results from percolation theory and random graph theory. We present an algorithm that allows to detect objects of unknown…

统计理论 · 数学 2013-12-02 Mikhail A. Langovoy , Olaf Wittich

The image degradation produced by atmospheric turbulence and optical aberrations is usually alleviated using post-facto image reconstruction techniques, even when observing with adaptive optics systems. These techniques rely on the…

天体物理仪器与方法 · 物理学 2015-05-18 A. Asensio Ramos , A. Lopez Ariste

The phase retrieval from multi-frequency intensity (power) observations is considered. The object to be reconstructed is complex-valued. A novel algorithm is presented that accomplishes both the object phase (absolute phase) retrieval and…

信号处理 · 电气工程与系统科学 2018-02-07 Vladimir Katkovnik , Karen Egiazarian

Image denoising stands as a critical challenge in image processing and computer vision, aiming to restore the original image from noise-affected versions caused by various intrinsic and extrinsic factors. This process is essential for…

图像与视频处理 · 电气工程与系统科学 2024-03-19 Peter Luvton , Alfredo Castillejos , Jim Zhao , Christina Chajo