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We discuss how the kernel convolution approach can be used to accurately approximate the spatial covariance model on a sphere using spherical distances between points. A detailed derivation of the required formulas is provided. The proposed…

统计计算 · 统计学 2017-01-13 Alexander Gribov , Konstantin Krivoruchko

Establishing correspondence between shapes is a fundamental problem in geometry processing, arising in a wide variety of applications. The problem is especially difficult in the setting of non-isometric deformations, as well as in the…

计算机视觉与模式识别 · 计算机科学 2016-05-23 Davide Boscaini , Jonathan Masci , Emanuele Rodolà , Michael M. Bronstein

Deconvolution is a fundamental inverse problem in signal processing and the prototypical model for recovering a signal from its noisy measurement. Nevertheless, the majority of model-based inversion techniques require knowledge on the…

信号处理 · 电气工程与系统科学 2020-07-23 Arttu Arjas , Lassi Roininen , Mikko J. Sillanpää , Andreas Hauptmann

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…

计算机视觉与模式识别 · 计算机科学 2022-06-28 Ali Karaali , Claudio Rosito Jung

In the context of difference image analysis (DIA), we present a new method for determining the convolution kernel matching a pair of images of the same field. Unlike the standard DIA technique which involves modelling the kernel as a linear…

天体物理学 · 物理学 2009-11-13 D. M. Bramich

Ultrasound image reconstruction can be approximately cast as a linear inverse problem that has traditionally been solved with penalized optimization using the $l_1$ or $l_2$ norm, or wavelet-based terms. However, such regularization…

计算机视觉与模式识别 · 计算机科学 2023-08-01 Yuxin Zhang , Clément Huneau , Jérôme Idier , Diana Mateus

We extend the classical deconvolution framework in Rn to the case with a pseudodifferential-like solution operator with a symbol depending on both the base and cotangent variable. Our framework enables deconvolution with spatially varying…

We present a new approach for representing and reconstructing multidimensional magnetic resonance imaging (MRI) data. Our method builds on a novel, learned feature-based image representation that disentangles different types of features,…

图像与视频处理 · 电气工程与系统科学 2026-01-01 Ruiyang Zhao , Fan Lam

Most image denoising networks apply a single set of static convolutional kernels across the entire input image. This is sub-optimal for natural images, as they often consist of heterogeneous visual patterns. Dynamic convolution tries to…

计算机视觉与模式识别 · 计算机科学 2022-08-10 Yifan Jiang , Bartlomiej Wronski , Ben Mildenhall , Jonathan T. Barron , Zhangyang Wang , Tianfan Xue

Generative models, like large language models, are becoming increasingly relevant in our daily lives, yet a theoretical framework to assess their generalization behavior and uncertainty does not exist. Particularly, the problem of…

机器学习 · 计算机科学 2024-07-11 Sebastian G. Gruber , Florian Buettner

Kernel-phase is a recently developed paradigm that tackles the classical problem of image deconvolution, based on an interferometric point of view of image formation. Kernel-phase inherits and borrows from the notion of closure-phase,…

天体物理仪器与方法 · 物理学 2015-06-17 Frantz Martinache

In this paper we analyze the blind deconvolution of an image and an unknown blur in a coded imaging system. The measurements consist of subsampled convolution of an unknown blurring kernel with multiple random binary modulations (coded…

信息论 · 计算机科学 2015-10-27 Sohail Bahmani , Justin Romberg

Diffusion model-based approaches recently achieved re-markable success in MRI reconstruction, but integration into clinical routine remains challenging due to its time-consuming convergence. This phenomenon is partic-ularly notable when…

图像与视频处理 · 电气工程与系统科学 2024-11-07 Yu Guan , Qinrong Cai , Wei Li , Qiuyun Fan , Dong Liang , Qiegen Liu

Shape reconstruction from imaging volumes is a recurring need in medical image analysis. Common workflows start with a segmentation step, followed by careful post-processing and,finally, ad hoc meshing algorithms. As this sequence can be…

计算机视觉与模式识别 · 计算机科学 2025-07-11 Antonio Pepe , Richard Schussnig , Jianning Li , Christina Gsaxner , Dieter Schmalstieg , Jan Egger

In recent years, the removal of motion blur in photographs has seen impressive progress in the hands of deep learning-based methods, trained to map directly from blurry to sharp images. For this reason, approaches that explicitly use a…

计算机视觉与模式识别 · 计算机科学 2023-08-08 Guillermo Carbajal , Patricia Vitoria , José Lezama , Pablo Musé

Ultrafast ultrasound imaging remains an active area of interest in the ultrasound community due to its ultra-high frame rates. Recently, a wide variety of studies based on deep learning have sought to improve ultrafast ultrasound imaging.…

图像与视频处理 · 电气工程与系统科学 2021-11-02 Jingfeng Lu , Fabien Millioz , Damien Garcia , Sebastien Salles , Dong Ye , Denis Friboulet

Ultrasound imaging is caught between the quest for the highest image quality, and the necessity for clinical usability. Our contribution is two-fold: First, we propose a novel fully convolutional neural network for ultrasound…

计算机视觉与模式识别 · 计算机科学 2019-04-10 Walter Simson , Rüdiger Göbl , Magdalini Paschali , Markus Krönke , Klemens Scheidhauer , Wolfgang Weber , Nassir Navab

Speed-of-sound is a biomechanical property for quantitative tissue differentiation, with great potential as a new ultrasound-based image modality. A conventional ultrasound array transducer can be used together with an acoustic mirror, or…

计算机视觉与模式识别 · 计算机科学 2018-07-20 Valery Vishnevskiy , Sergio J Sanabria , Orcun Goksel

Machine learning methods for computational imaging require uncertainty estimation to be reliable in real settings. While Bayesian models offer a computationally tractable way of recovering uncertainty, they need large data volumes to be…

机器学习 · 计算机科学 2020-08-24 Francesco Tonolini , Jack Radford , Alex Turpin , Daniele Faccio , Roderick Murray-Smith

Remote sensing image fusion aims to create a high-resolution multi/hyper-spectral image from a high-resolution image with limited spectral information and a low-resolution image with abundant spectral data. Recently, deep learning (DL)…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Siran Peng , Xiangyu Zhu , Shang-Qi Deng , Liang-Jian Deng , Zhen Lei