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This work addresses image restoration tasks through the lens of inverse problems using unpaired datasets. In contrast to traditional approaches -- which typically assume full knowledge of the forward model or access to paired degraded and…

计算机视觉与模式识别 · 计算机科学 2025-06-18 Giacomo Meanti , Thomas Ryckeboer , Michael Arbel , Julien Mairal

Diffusion models (DMs) have proven to be effective in modeling high-dimensional distributions, leading to their widespread adoption for representing complex priors in Bayesian inverse problems (BIPs). However, current DM-based posterior…

机器学习 · 计算机科学 2025-06-06 Haoxuan Chen , Yinuo Ren , Martin Renqiang Min , Lexing Ying , Zachary Izzo

Inverse problems are fundamental to science and engineering, where the goal is to infer an underlying signal or state from incomplete or noisy measurements. Recent approaches employ diffusion models as powerful implicit priors for such…

机器学习 · 计算机科学 2025-11-27 Bilal Ahmed , Joseph G. Makin

Denoising diffusion models are a powerful type of generative models used to capture complex distributions of real-world signals. However, their applicability is limited to scenarios where training samples are readily available, which is not…

计算机视觉与模式识别 · 计算机科学 2023-11-20 Ayush Tewari , Tianwei Yin , George Cazenavette , Semon Rezchikov , Joshua B. Tenenbaum , Frédo Durand , William T. Freeman , Vincent Sitzmann

In spite of the utility of 3-D electron back-scattered diffraction (EBSD) microscopy, the data collection process can be time-consuming with serial-sectioning. Hence, it is natural to look at other modalities, such as polarized light (PL)…

图像与视频处理 · 电气工程与系统科学 2026-04-27 Harry Dong , Timofey Efimov , Megna Shah , Jeff Simmons , Sean Donegan , Marc De Graef , Yuejie Chi

Diffusion models have established new state of the art in a multitude of computer vision tasks, including image restoration. Diffusion-based inverse problem solvers generate reconstructions of exceptional visual quality from heavily…

图像与视频处理 · 电气工程与系统科学 2024-08-21 Zalan Fabian , Berk Tinaz , Mahdi Soltanolkotabi

Score-based diffusion models have significantly advanced generative deep learning for image processing. Measurement conditioned models have also been applied to inverse problems such as CT reconstruction. However, the conventional approach,…

医学物理 · 物理学 2025-02-24 Matthew Tivnan , Dufan Wu , Quanzheng Li

Electron backscatter diffraction (EBSD) has developed over the last few decades into a valuable crystallographic characterisation method for a wide range of sample types. Despite these advances, issues such as the complexity of sample…

图像与视频处理 · 电气工程与系统科学 2024-07-17 Zoë Broad , Alex W. Robinson , Jack Wells , Daniel Nicholls , Amirafshar Moshtaghpour , Angus I. Kirkland , Nigel D. Browning

The inverse diffusion curve problem focuses on automatic creation of diffusion curve images that resemble user provided color fields. This problem is challenging since the 1D curves have a nonlinear and global impact on resulting color…

图形学 · 计算机科学 2016-10-11 Shuang Zhao , Fredo Durand , Changxi Zheng

An inverse scattering problem is formulated for reconstructing optical properties of biological tissues. A recursive linearization algorithm is used to solve the inverse scattering problem. We employed the idea of finite element boundary…

数值分析 · 数学 2014-04-30 Ying Li

This paper presents a novel approach for denoising Electron Backscatter Diffraction (EBSD) patterns using diffusion models. We propose a two-stage training process with a UNet-based architecture, incorporating an auxiliary regression head…

图像与视频处理 · 电气工程与系统科学 2025-09-01 Nikolay Falaleev , Nikolai Orlov

We present an algorithm to estimate fast and accurate depth maps from light fields via a sparse set of depth edges and gradients. Our proposed approach is based around the idea that true depth edges are more sensitive than texture edges to…

计算机视觉与模式识别 · 计算机科学 2021-07-08 Numair Khan , Min H. Kim , James Tompkin

Fluorescence microscopy is essential in biological and medical research, providing critical insights into cellular structures. However, limited by optical diffraction and background noise, a substantial amount of hidden information is still…

生物物理 · 物理学 2026-04-14 Xiaofeng Zhang , Yongsheng Huang , Jielong Yang , Zhili Wang , Si Chen , Linbo Liu , Xin Ge

Deep generative models have emerged as state-of-the-art for solving inverse problems, but applying them to inverse problems for PDEs, like electrical impedance tomography (EIT) remains challenging. Because physical domains are naturally…

图像与视频处理 · 电气工程与系统科学 2026-05-20 Giovanni S. Alberti , Damiana Lazzaro , Serena Morigi , Matteo Santacesaria , Shibo Wang

Diffusion models are a special type of generative model, capable of synthesising new data from a learnt distribution. We introduce DISPR, a diffusion-based model for solving the inverse problem of three-dimensional (3D) cell shape…

计算机视觉与模式识别 · 计算机科学 2023-03-15 Dominik J. E. Waibel , Ernst Röell , Bastian Rieck , Raja Giryes , Carsten Marr

Recently it has been shown that using diffusion models for inverse problems can lead to remarkable results. However, these approaches require a closed-form expression of the degradation model and can not support complex degradations. To…

计算机视觉与模式识别 · 计算机科学 2023-06-06 Di You , Andreas Floros , Pier Luigi Dragotti

In this second part of a series we attempt to construct an empirical model that can mimick all experimental observations made regarding the role of an alternative interleaved scan pattern in STEM imaging on the beam damage in a specific…

材料科学 · 物理学 2021-05-03 D. Jannis , A. Velazco , A. Béché , J. Verbeeck

Ill-posed inverse problems are fundamental in many domains, ranging from astrophysics to medical imaging. Emerging diffusion models provide a powerful prior for solving these problems. Existing maximum-a-posteriori (MAP) or posterior…

计算机视觉与模式识别 · 计算机科学 2026-05-15 Minseo Kim , Axel Levy , Gordon Wetzstein

Inverse problems generally require a regularizer or prior for a good solution. A recent trend is to train a convolutional net to denoise images, and use this net as a prior when solving the inverse problem. Several proposals depend on a…

计算机视觉与模式识别 · 计算机科学 2023-07-12 Kyle Luther , H. Sebastian Seung

We consider the inverse problem of denoising an image where each point (pixel) is an element of a target set, which we refer to as a target-valued image. The target sets considered are either (i) a closed convex set of Euclidean space or…

数值分析 · 数学 2018-06-20 Braxton Osting , Dong Wang