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Functional principal component analysis (FPCA) is a fundamental tool and has attracted increasing attention in recent decades, while existing methods are restricted to data with a single or finite number of random functions (much smaller…

Methodology · Statistics 2021-01-22 Xiaoyu Hu , Fang Yao

Digital sensors can lead to noisy results under many circumstances. To be able to remove the undesired noise from images, proper noise modeling and an accurate noise parameter estimation is crucial. In this project, we use a…

Image and Video Processing · Electrical Eng. & Systems 2022-12-21 Étienne Objois , Kaan Okumuş , Nicolas Bähler

Capturing depth and reflectivity images at low light levels from active illumination of a scene has wide-ranging applications. Conventionally, even with single-photon detectors, hundreds of photon detections are needed at each pixel to…

Applications · Statistics 2026-03-12 Dongeek Shin , Ahmed Kirmani , Vivek K Goyal , Jeffrey H. Shapiro

Packet Compressed Sensing Imaging (PCSI) is digital unconnected image transmission method resilient to packet loss. The goal is to develop a robust image transmission method that is computationally trivial to transmit (e.g., compatible with…

Image and Video Processing · Electrical Eng. & Systems 2020-09-25 Scott Howard , Grant Barthelmes , Cara Ravasio , Lisa Huang , Benjamin Poag , Varun Mannam

Hyperspectral image (HSI) denoising has been attracting much research attention in remote sensing area due to its importance in improving the HSI qualities. The existing HSI denoising methods mainly focus on specific spectral and spatial…

Computer Vision and Pattern Recognition · Computer Science 2017-02-02 Yang Chen , Xiangyong Cao , Qian Zhao , Deyu Meng , Zongben Xu

We extend the blindspot model for self-supervised denoising to handle Poisson-Gaussian noise and introduce an improved training scheme that avoids hyperparameters and adapts the denoiser to the test data. Self-supervised models for…

Image and Video Processing · Electrical Eng. & Systems 2020-11-20 Wesley Khademi , Sonia Rao , Clare Minnerath , Guy Hagen , Jonathan Ventura

Photoacoustic imaging (PAI) is a promising emerging imaging modality that enables spatially resolved imaging of optical tissue properties up to several centimeters deep in tissue, creating the potential for numerous exciting clinical…

Medical Physics · Physics 2021-04-15 Janek Gröhl , Melanie Schellenberg , Kris Dreher , Lena Maier-Hein

Deep image prior (DIP) serves as a good inductive bias for diverse inverse problems. Among them, denoising is known to be particularly challenging for the DIP due to noise fitting with the requirement of an early stopping. To address the…

Image and Video Processing · Electrical Eng. & Systems 2021-08-31 Yeonsik Jo , Se Young Chun , Jonghyun Choi

Poisson denoising is an essential issue for various imaging applications, such as night vision, medical imaging and microscopy. State-of-the-art approaches are clearly dominated by patch-based non-local methods in recent years. In this…

Computer Vision and Pattern Recognition · Computer Science 2016-09-20 Wensen Feng , Hong Qiao , Yunjin Chen

Coded Aperture Imaging (CAI) has been proposed as an alternative collimation technique in nuclear imaging. To maximize spatial resolution small pinholes in the coded aperture mask are required. However, a high-resolution detector is needed…

Medical Physics · Physics 2023-06-16 Tobias Meißner , Werner Nahm , Jürgen Hesser , Nikolas Löw

We present a method for performing Principal Component Analysis (PCA) on noisy datasets with missing values. Estimates of the measurement error are used to weight the input data such that compared to classic PCA, the resulting eigenvectors…

Instrumentation and Methods for Astrophysics · Physics 2015-06-11 Stephen Bailey

When capturing and storing images, devices inevitably introduce noise. Reducing this noise is a critical task called image denoising. Deep learning has become the de facto method for image denoising, especially with the emergence of…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Haoyu Chen , Jinjin Gu , Yihao Liu , Salma Abdel Magid , Chao Dong , Qiong Wang , Hanspeter Pfister , Lei Zhu

Suppose we observe data of the form $Y_i = D_i (S_i + \varepsilon_i) \in \mathbb{R}^p$ or $Y_i = D_i S_i + \varepsilon_i \in \mathbb{R}^p$, $i=1,\ldots,n$, where $D_i \in \mathbb{R}^{p\times p}$ are known diagonal matrices, $\varepsilon_i$…

Statistics Theory · Mathematics 2018-11-05 Edgar Dobriban , William Leeb , Amit Singer

Principal component analysis (PCA) is one of the most widely used dimension reduction and multivariate statistical techniques. From a probabilistic perspective, PCA seeks a low-dimensional representation of data in the presence of…

Machine Learning · Computer Science 2021-01-06 Chihao Zhang , Kuo Gai , Shihua Zhang

Recently, deep learning-based compressive imaging (DCI) has surpassed the conventional compressive imaging in reconstruction quality and faster running time. While multi-scale has shown superior performance over single-scale, research in…

Image and Video Processing · Electrical Eng. & Systems 2020-08-04 Thuong Nguyen Canh , Byeungwoo Jeon

Coded aperture snapshot spectral imaging (CASSI) is a technique used to reconstruct three-dimensional hyperspectral images (HSIs) from one or several two-dimensional projection measurements. However, fewer projection measurements or more…

Image and Video Processing · Electrical Eng. & Systems 2024-10-28 Qile Zhao , Xianhong Zhao , Xu Ma , Xudong Chen , Gonzalo R. Arce

An essential technique for diagnosing brain disorders is electrophysiological source imaging (ESI). While model-based optimization and deep learning methods have achieved promising results in this field, the accurate selection and…

Computer Vision and Pattern Recognition · Computer Science 2026-01-23 Linyong Zou , Liang Zhang , Xiongfei Wang , Jia-Hong Gao , Yi Sun , Shurong Sheng , Kuntao Xiao , Wanli Yang , Pengfei Teng , Guoming Luan , Zhao Lv , Zikang Xu

To deal with high-dimensional unlabeled datasets in many areas, principal component analysis (PCA) has become a rising technique for unsupervised feature selection (UFS). However, most existing PCA-based methods only consider the structure…

Optimization and Control · Mathematics 2025-08-15 Xianchao Xiu , Chenyi Huang , Pan Shang , Wanquan Liu

Principal Component Analysis (PCA) is a dimension reduction technique. It produces inconsistent estimators when the dimensionality is moderate to high, which is often the problem in modern large-scale applications where algorithm…

Computation · Statistics 2016-01-29 Qiaoya Zhang , Yiyuan She

Neutron imaging is essential for diagnosing and optimizing inertial confinement fusion implosions at the National Ignition Facility. Due to the required 10-micrometer resolution, however, neutron image require image reconstruction using…