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Blind image deblurring is a fundamental and challenging computer vision problem, which aims to recover both the blur kernel and the latent sharp image from only a blurry observation. Despite the superiority of deep learning methods in image…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Pei Wang , Wei Sun , Qingsen Yan , Axi Niu , Rui Li , Yu Zhu , Jinqiu Sun , Yanning Zhang

In this paper, we develop structure assisted nonnegative matrix factorization (NMF) methods for blind source separation of degenerate data. The motivation originates from nuclear magnetic resonance (NMR) spectroscopy, where a multiple…

Numerical Analysis · Mathematics 2021-03-10 Yuanchang Sun , Kai Huang , Jack Xin

We study a blind deconvolution problem on graphs, which arises in the context of localizing a few sources that diffuse over networks. While the observations are bilinear functions of the unknown graph filter coefficients and sparse input…

Signal Processing · Electrical Eng. & Systems 2024-09-19 Chang Ye , Gonzalo Mateos

We study the problem of deconvolution for light-sheet microscopy, where the data is corrupted by spatially varying blur and a combination of Poisson and Gaussian noise. The spatial variation of the point spread function (PSF) of a…

Modern spectroscopic databases provide a wealth of information about the physical processes and environments associated with astrophysical populations. Techniques such as blind source separation (BSS), in which sets of spectra are…

Astrophysics · Physics 2009-11-13 James T. Allen , Paul C. Hewett , Vasily Belokurov , Vivienne Wild

This paper deals with the problem of audio source separation. To handle the complex and ill-posed nature of the problems of audio source separation, the current state-of-the-art approaches employ deep neural networks to obtain instrumental…

Sound · Computer Science 2017-06-30 Naoya Takahashi , Yuki Mitsufuji

The so-called independent low-rank matrix analysis (ILRMA) has demonstrated a great potential for dealing with the problem of determined blind source separation (BSS) for audio and speech signals. This method assumes that the spectra from…

Sound · Computer Science 2024-01-04 Jianyu Wang , Shanzheng Guan , Jingdong Chen , Jacob Benesty

Blind deconvolution problems are severely ill-posed because neither the underlying signal nor the forward operator are not known exactly. Conventionally, these problems are solved by alternating between estimation of the image and kernel…

Image and Video Processing · Electrical Eng. & Systems 2023-12-06 Yash Sanghvi , Yiheng Chi , Stanley H. Chan

In this work, an efficient numerical scheme is presented for seismic blind deconvolution in a multichannel scenario. The proposed method iterate with wo steps: first, wavelet estimation across all channels and second, refinement of the…

Computational Physics · Physics 2020-10-20 Naveed Iqbal , Entao Liu , James H. McClellan , Abdullatif A. Al-Shuhail

In the remote sensing context spectral unmixing is a technique to decompose a mixed pixel into two fundamental representatives: endmembers and abundances. In this paper, a novel architecture is proposed to perform blind unmixing on…

Computer Vision and Pattern Recognition · Computer Science 2020-11-19 Yasiru Ranasinghe , Sanjaya Herath , Kavinga Weerasooriya , Mevan Ekanayake , Roshan Godaliyadda , Parakrama Ekanayake , Vijitha Herath

Coupled decompositions are a widely used tool for data fusion. As the volume of data increases, so does the dimensionality of matrices and tensors, highlighting the need for more efficient coupled decomposition algorithms. This paper…

Numerical Analysis · Mathematics 2026-04-22 Erna Begovic , Anita Carevic , Ivana Sain Glibic

In this paper, we tackle the problem of blind image super-resolution(SR) with a reformulated degradation model and two novel modules. Following the common practices of blind SR, our method proposes to improve both the kernel estimation as…

Image and Video Processing · Electrical Eng. & Systems 2022-03-28 Ziwei Luo , Haibin Huang , Lei Yu , Youwei Li , Haoqiang Fan , Shuaicheng Liu

The most ubiquitous form of computational aberration correction for microscopy is deconvolution. However, deconvolution relies on the assumption that the point spread function is the same across the entire field-of-view. This assumption is…

Image and Video Processing · Electrical Eng. & Systems 2025-04-30 Amit Kohli , Anastasios N. Angelopoulos , David McAllister , Esther Whang , Sixian You , Kyrollos Yanny , Federico M. Gasparoli , Bo-Jui Chang , Reto Fiolka , Laura Waller

Blind deconvolution is an ubiquitous non-linear inverse problem in applications like wireless communications and image processing. This problem is generally ill-posed, and there have been efforts to use sparse models for regularizing blind…

Information Theory · Computer Science 2019-04-09 Sunav Choudhary , Urbashi Mitra

We address a blind source separation (BSS) problem in a noisy reverberant environment in which the number of microphones $M$ is greater than the number of sources of interest, and the other noise components can be approximated as stationary…

Audio and Speech Processing · Electrical Eng. & Systems 2021-04-23 Rintaro Ikeshita , Tomohiro Nakatani

This paper proposes an efficient bitwise solution to the single-channel source separation task. Most dictionary-based source separation algorithms rely on iterative update rules during the run time, which becomes computationally costly…

Sound · Computer Science 2017-12-04 Lijiang Guo , Minje Kim

We propose a solution to the image deconvolution problem where the convolution kernel or point spread function (PSF) is assumed to be only partially known. Small perturbations generated from the model are exploited to produce a few…

Data Analysis, Statistics and Probability · Physics 2015-06-04 Se Un Park , Nicolas Dobigeon , Alfred O. Hero

Defocus blur is a physical consequence of the optical sensors used in most cameras. Although it can be used as a photographic style, it is commonly viewed as an image degradation modeled as the convolution of a sharp image with a…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Ali Karaali , Claudio Rosito Jung

State Space Models (SSMs) have emerged as a powerful and efficient alternative to Transformers, demonstrating linear-time complexity and exceptional sequence modeling capabilities. However, their application to vision tasks remains…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Hongyu Ke , Jack Morris , Yongkang Liu , Satoshi Kitai , Kentaro Oguchi , Yi Ding , Haoxin Wang

In this paper, we propose new operator-splitting algorithms for the total variation regularized infimal convolution (TV-IC) model [4] in order to remove mixed Poisson-Gaussian(MPG) noise. In the existing splitting algorithm for TV-IC, an…

Optimization and Control · Mathematics 2020-01-29 Jie Zhang , Yuping Duan , Yue Lu , Michael K. Ng , Huibin Chang
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