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Pairwise Markov Random Fields (MRFs) or undirected graphical models are parsimonious representations of joint probability distributions. Variables correspond to nodes of a graph, with edges between nodes corresponding to conditional…

统计理论 · 数学 2018-09-18 Eric Janofsky

Surface reconstruction with preservation of geometric features is a challenging computer vision task. Despite significant progress in implicit shape reconstruction, state-of-the-art mesh extraction methods often produce aliased,…

计算机视觉与模式识别 · 计算机科学 2023-12-01 Natalia Soboleva , Olga Gorbunova , Maria Ivanova , Evgeny Burnaev , Matthias Nießner , Denis Zorin , Alexey Artemov

A prior map serves as a foundational reference for localization in context-aware applications such as augmented reality (AR). Providing valuable contextual information about the environment, the prior map is a vital tool for mitigating…

计算机视觉与模式识别 · 计算机科学 2026-01-05 Yanyu Zhang , Dongming Wang , Jie Xu , Mengyuan Liu , Pengxiang Zhu , Wei Ren

Selecting an appropriate prior to compensate for information loss due to the measurement operator is a fundamental challenge in imaging inverse problems. Implicit priors based on denoising neural networks have become central to widely-used…

图像与视频处理 · 电气工程与系统科学 2025-06-10 Matthieu Terris , Ulugbek S. Kamilov , Thomas Moreau

A general framework for solving image inverse problems is introduced in this paper. The approach is based on Gaussian mixture models, estimated via a computationally efficient MAP-EM algorithm. A dual mathematical interpretation of the…

计算机视觉与模式识别 · 计算机科学 2010-06-16 Guoshen Yu , Guillermo Sapiro , Stéphane Mallat

Solving the Maximum a Posteriori on Markov Random Field, MRF-MAP, is a prevailing method in recent interactive image segmentation tools. Although mathematically explicit in its computational targets, and impressive for the segmentation…

计算机视觉与模式识别 · 计算机科学 2012-01-17 Zhao Qiyang

Reconstructing high-resolution (HR) images from low-resolution (LR) inputs poses a significant challenge in image super-resolution (SR). While recent approaches have demonstrated the efficacy of intricate operations customized for various…

图像与视频处理 · 电气工程与系统科学 2024-06-07 Eduard Zamfir , Zongwei Wu , Nancy Mehta , Yulun Zhang , Radu Timofte

Reference-based image super-resolution (RefSR) has shown promising success in recovering high-frequency details by utilizing an external reference image (Ref). In this task, texture details are transferred from the Ref image to the…

计算机视觉与模式识别 · 计算机科学 2021-06-07 Liying Lu , Wenbo Li , Xin Tao , Jiangbo Lu , Jiaya Jia

We present a parallelized optimization method based on fast Neural Radiance Fields (NeRF) for estimating 6-DoF pose of a camera with respect to an object or scene. Given a single observed RGB image of the target, we can predict the…

计算机视觉与模式识别 · 计算机科学 2023-03-13 Yunzhi Lin , Thomas Müller , Jonathan Tremblay , Bowen Wen , Stephen Tyree , Alex Evans , Patricio A. Vela , Stan Birchfield

Spatial prediction is commonly achieved under the assumption of a Gaussian random field (GRF) by obtaining maximum likelihood estimates of parameters, and then using the kriging equations to arrive at predicted values. For massive datasets,…

统计方法学 · 统计学 2021-07-20 Karl T. Pazdernik , Ranjan Maitra

Neural radiance fields (NeRFs) have shown impressive results for novel view synthesis. However, they depend on the repetitive use of a single-input single-output multilayer perceptron (SISO MLP) that maps 3D coordinates and view direction…

计算机视觉与模式识别 · 计算机科学 2023-10-04 Takuhiro Kaneko

The pretrained diffusion model as a strong prior has been leveraged to address inverse problems in a zero-shot manner without task-specific retraining. Different from the unconditional generation, the measurement-guided generation requires…

最优化与控制 · 数学 2025-03-14 Ji Li , Chao Wang

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

Hyperspectral super-resolution (HSR) is a problem that aims to estimate an image of high spectral and spatial resolutions from a pair of co-registered multispectral (MS) and hyperspectral (HS) images, which have coarser spectral and spatial…

图像与视频处理 · 电气工程与系统科学 2020-10-28 Ruiyuan Wu , Wing-Kin Ma , Xiao Fu , Qiang Li

A broad class of problems at the core of computational imaging, sensing, and low-level computer vision reduces to the inverse problem of extracting latent images that follow a prior distribution, from measurements taken under a known…

计算机视觉与模式识别 · 计算机科学 2018-12-20 Steven Diamond , Vincent Sitzmann , Felix Heide , Gordon Wetzstein

In this paper, we model the dependencies among the items that are recommended to a user in a collaborative-filtering problem via a Gaussian Markov Random Field (MRF). We build upon Besag's auto-normal parameterization and pseudo-likelihood,…

信息检索 · 计算机科学 2019-10-23 Harald Steck

Learning-based single image super-resolution (SISR) methods are continuously showing superior effectiveness and efficiency over traditional model-based methods, largely due to the end-to-end training. However, different from model-based…

图像与视频处理 · 电气工程与系统科学 2020-03-24 Kai Zhang , Luc Van Gool , Radu Timofte

We propose a surrogate function for efficient yet principled use of score-based priors in Bayesian imaging. We consider ill-posed inverse imaging problems in which one aims for a clean image posterior given incomplete or noisy measurements.…

计算机视觉与模式识别 · 计算机科学 2024-08-29 Berthy T. Feng , Katherine L. Bouman

We present an improved model for MRF-based depth upsampling, guided by image- as well as 3D surface normal features. By exploiting the underlying camera model we define a novel regularization term that implicitly evaluates the planarity of…

计算几何 · 计算机科学 2017-06-20 Sascha Wirges , Björn Roxin , Eike Rehder , Tilman Kühner , Martin Lauer

Deep neural networks trained as image denoisers are widely used as priors for solving imaging inverse problems. While Gaussian denoising is thought sufficient for learning image priors, we show that priors from deep models pre-trained as…

图像与视频处理 · 电气工程与系统科学 2024-10-04 Yuyang Hu , Albert Peng , Weijie Gan , Peyman Milanfar , Mauricio Delbracio , Ulugbek S. Kamilov