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Image restoration, which aims to recover high-quality images from their corrupted counterparts, often faces the challenge of being an ill-posed problem that allows multiple solutions for a single input. However, most deep learning based…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Wenyi Lian , Wenjing Lian , Ziwei Luo

Due to the high complexity and technical requirements of industrial production processes, surface defects will inevitably appear, which seriously affects the quality of products. Although existing lightweight detection networks are highly…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Xuyi Yu

We present a statistical learning framework for robust identification of partial differential equations from noisy spatiotemporal data. Extending previous sparse regression approaches for inferring PDE models from simulated data, we address…

Numerical Analysis · Mathematics 2019-07-19 Suryanarayana Maddu , Bevan L. Cheeseman , Ivo F. Sbalzarini , Christian L. Müller

In this paper we investigate the numerical solution of stochastic partial differential equations (SPDEs) for a wider class of stochastic equations. We focus on non-diagonal colored noise instead of the usual space-time white noise. By…

Numerical Analysis · Mathematics 2013-11-12 Dirk Blömker , Minoo Kamrani

Speckle noise severely limits the quality of images acquired from coherent imaging systems such as Synthetic Aperture Radar (SAR) and medical ultrasound. Traditional second-order PDE-based despeckling approaches, although popular, often…

Image and Video Processing · Electrical Eng. & Systems 2026-05-05 Manish Kumar , Rajendra K. Ray

We aim to leverage diffusion to address the challenging image matting task. However, the presence of high computational overhead and the inconsistency of noise sampling between the training and inference processes pose significant obstacles…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Yihan Hu , Yiheng Lin , Wei Wang , Yao Zhao , Yunchao Wei , Humphrey Shi

Unpaired image denoising has achieved promising development over the last few years. Regardless of the performance, methods tend to heavily rely on underlying noise properties or any assumption which is not always practical. Alternatively,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-05 Manisha Das Chaity , Masud An Nur Islam Fahim

We introduce and discuss shape based models for finding the best interpolation data in compression of images with noise. The aim is to reconstruct missing regions by means of minimizing data fitting term in the $L^2$-norm between the images…

Numerical Analysis · Mathematics 2020-11-05 Zakaria Belhachmi , Thomas Jacumin

This paper presents a novel context-aware image denoising algorithm that combines an adaptive image smoothing technique and color reduction techniques to remove perturbation from adversarial images. Adaptive image smoothing is achieved…

Computer Vision and Pattern Recognition · Computer Science 2021-01-18 Li-Yun Wang , Yeganeh Jalalpour , Wu-chi Feng

Most of existing image denoising methods assume the corrupted noise to be additive white Gaussian noise (AWGN). However, the realistic noise in real-world noisy images is much more complex than AWGN, and is hard to be modelled by simple…

Computer Vision and Pattern Recognition · Computer Science 2018-07-13 Jun Xu , Lei Zhang , David Zhang

Currently, applying diffusion models in pixel space of high resolution images is difficult. Instead, existing approaches focus on diffusion in lower dimensional spaces (latent diffusion), or have multiple super-resolution levels of…

Computer Vision and Pattern Recognition · Computer Science 2023-12-13 Emiel Hoogeboom , Jonathan Heek , Tim Salimans

Diffusion models that are based on iterative denoising have been recently proposed and leveraged in various generation tasks like image generation. Whereas, as a way inherently built for continuous data, existing diffusion models still have…

Computation and Language · Computer Science 2023-04-11 Jiaao Chen , Aston Zhang , Mu Li , Alex Smola , Diyi Yang

Used in the paper is an overcomplete piecewise-polynomial image model incorporating sparsity. The paper shows that using such a model, the edges in the image can be resolved robustly with respect to noise. Two variants of the proposed…

Optimization and Control · Mathematics 2018-10-16 Michaela Novosadová , Pavel Rajmic

This paper introduces a novel collaborative neurodynamic model for computing nonnegative Canonical Polyadic Decomposition (CPD). The model relies on a system of recurrent neural networks to solve the underlying nonconvex optimization…

Numerical Analysis · Mathematics 2025-01-03 Salman Ahmadi-Asl , Valentin Leplat , Anh-Huy Phan , Andrzej Cichocki

Classical diffusion models typically rely on isotropic Gaussian noise, treating all regions uniformly and overlooking structural information important for high-quality generation. We introduce an edge-preserving diffusion process that…

Computer Vision and Pattern Recognition · Computer Science 2026-04-17 Jente Vandersanden , Sascha Holl , Xingchang Huang , Gurprit Singh

Ultrasound plane wave imaging is a cutting-edge technique that enables high frame-rate imaging. However, one challenge associated with high frame-rate ultrasound imaging is the high noise associated with them, hindering their wider…

Image and Video Processing · Electrical Eng. & Systems 2024-08-21 Hojat Asgariandehkordi , Sobhan Goudarzi , Mostafa Sharifzadeh , Adrian Basarab , Hassan Rivaz

Denoising diffusion models represent a recent emerging topic in computer vision, demonstrating remarkable results in the area of generative modeling. A diffusion model is a deep generative model that is based on two stages, a forward…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Florinel-Alin Croitoru , Vlad Hondru , Radu Tudor Ionescu , Mubarak Shah

In this paper, we present an approach to image enhancement with diffusion model in underwater scenes. Our method adapts conditional denoising diffusion probabilistic models to generate the corresponding enhanced images by using the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-08 Yi Tang , Takafumi Iwaguchi , Hiroshi Kawasaki

Image dehazing is quite challenging in dense-haze scenarios, where quite less original information remains in the hazy image. Though previous methods have made marvelous progress, they still suffer from information loss in content and color…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Hu Yu , Jie Huang , Kaiwen Zheng , Feng Zhao

We propose Adaptive Diffusion Denoised Smoothing, a method for certifying the predictions of a vision model against adversarial examples, while adapting to the input. Our key insight is to reinterpret a guided denoising diffusion model as a…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Frederick Shpilevskiy , Saiyue Lyu , Krishnamurthy Dj Dvijotham , Mathias Lécuyer , Pierre-André Noël