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Non-Local Total Variation (NLTV) has emerged as a useful tool in variational methods for image recovery problems. In this paper, we extend the NLTV-based regularization to multicomponent images by taking advantage of the Structure Tensor…

计算机视觉与模式识别 · 计算机科学 2014-12-11 Giovanni Chierchia , Nelly Pustelnik , Beatrice Pesquet-Popescu , Jean-Christophe Pesquet

We introduce a novel family of invariant, convex, and non-quadratic functionals that we employ to derive regularized solutions of ill-posed linear inverse imaging problems. The proposed regularizers involve the Schatten norms of the Hessian…

最优化与控制 · 数学 2014-02-20 Stamatios Lefkimmiatis , John Paul Ward , Michael Unser

X-ray imaging dose from serial cone-beam CT (CBCT) scans raises a clinical concern in most image guided radiation therapy procedures. It is the goal of this paper to develop a fast GPU-based algorithm to reconstruct high quality CBCT images…

医学物理 · 物理学 2015-05-19 Xun Jia , Bin Dong , Yifei Lou , Steve B. Jiang

In this article, we present a denoising algorithm to improve the interpretation and quality of scanning tunneling microscopy (STM) images. Given the high level of self-similarity of STM images, we propose a denoising algorithm by…

计算机视觉与模式识别 · 计算机科学 2016-10-12 João P. Oliveira , Ana Bragança , José Bioucas-Dias , Mário Figueiredo , Luís Alcácer , Jorge Morgado , Quirina Ferreira

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,…

计算机视觉与模式识别 · 计算机科学 2022-08-05 Manisha Das Chaity , Masud An Nur Islam Fahim

Solving inverse problems requires appropriate regularization techniques to ensure well-posedness and stability. In recent years, denoiser-driven methods have emerged as effective regularization strategies, achieving state-of-the-art…

数值分析 · 数学 2026-04-23 Harshit Bajpai , Ankik Kumar Giri , Tim Jahn , Abhinav Jha

Spatial Transformer Networks (STNs) estimate image transformations that can improve downstream tasks by `zooming in' on relevant regions in an image. However, STNs are hard to train and sensitive to mis-predictions of transformations. To…

机器学习 · 计算机科学 2022-06-16 Pola Schwöbel , Frederik Warburg , Martin Jørgensen , Kristoffer H. Madsen , Søren Hauberg

Deep learning-based image registration approaches have shown competitive performance and run-time advantages compared to conventional image registration methods. However, existing learning-based approaches mostly require to train separate…

图像与视频处理 · 电气工程与系统科学 2023-03-21 Yinsong Wang , Huaqi Qiu , Chen Qin

We modify the total-variation-regularized image segmentation model proposed by Chan, Esedoglu and Nikolova [SIAM Journal on Applied Mathematics 66, 2006] by introducing local regularization that takes into account spatial image information.…

数值分析 · 数学 2020-08-06 Laura Antonelli , Valentina De Simone , Daniela di Serafino

We propose a new constrained optimization approach to hyperspectral (HS) image restoration. Most existing methods restore a desirable HS image by solving some optimization problem, which consists of a regularization term(s) and a…

信号处理 · 电气工程与系统科学 2020-09-09 Saori Takeyama , Shunsuke Ono , Itsuo Kumazawa

In this paper, we present a spatial rectifier to estimate surface normals of tilted images. Tilted images are of particular interest as more visual data are captured by arbitrarily oriented sensors such as body-/robot-mounted cameras.…

计算机视觉与模式识别 · 计算机科学 2022-07-15 Tien Do , Khiem Vuong , Stergios I. Roumeliotis , Hyun Soo Park

Even though more than 30 years have passed since the seminal Rudin--Osher--Fatemi (ROF) paper on total variation (TV) denoising, it remains relevant, in particular in scientific applications such as astronomical imaging. However, it is…

图像与视频处理 · 电气工程与系统科学 2026-05-19 Wojciech Górny , Michał Łasica , Alexandros Matsoukas

We propose regularization schemes for deformable registration and efficient algorithms for their numerical approximation. We treat image registration as a variational optimal control problem. The deformation map is parametrized by its…

最优化与控制 · 数学 2016-09-09 Andreas Mang , George Biros

We present weight normalization: a reparameterization of the weight vectors in a neural network that decouples the length of those weight vectors from their direction. By reparameterizing the weights in this way we improve the conditioning…

机器学习 · 计算机科学 2016-06-07 Tim Salimans , Diederik P. Kingma

Even though Non-rigid Structure-from-Motion (NRSfM) has been extensively studied and great progress has been made, there are still key challenges that hinder their broad real-world applications: 1) the inherent motion/rotation ambiguity…

计算机视觉与模式识别 · 计算机科学 2025-03-05 Jiawei Shi , Hui Deng , Yuchao Dai

Depth estimation is an essential component in understanding the 3D geometry of a scene, with numerous applications in urban and indoor settings. These scenes are characterized by a prevalence of human made structures, which in most of the…

计算机视觉与模式识别 · 计算机科学 2020-09-03 Mattia Rossi , Mireille El Gheche , Andreas Kuhn , Pascal Frossard

We consider the problem of reconstructing signals and images from periodic nonlinearities. For such problems, we design a measurement scheme that supports efficient reconstruction; moreover, our method can be adapted to extend to…

机器学习 · 统计学 2017-10-03 Viraj Shah , Mohammadreza Soltani , Chinmay Hegde

Inspired by their success in solving challenging inverse problems in computer vision, implicit neural representations (INRs) have been recently proposed for reconstruction in low-dose/sparse-view X-ray computed tomography (CT). An INR…

图像与视频处理 · 电气工程与系统科学 2025-04-21 Mahrokh Najaf , Gregory Ongie

We introduce a new non-smooth variational model for the restoration of manifold-valued data which includes second order differences in the regularization term. While such models were successfully applied for real-valued images, we introduce…

数值分析 · 数学 2018-12-10 Miroslav Bačák , Ronny Bergmann , Gabriele Steidl , Andreas Weinmann

In this work we reduce undersampling artefacts in two-dimensional ($2D$) golden-angle radial cine cardiac MRI by applying a modified version of the U-net. We train the network on $2D$ spatio-temporal slices which are previously extracted…

图像与视频处理 · 电气工程与系统科学 2019-08-14 Andreas Kofler , Marc Dewey , Tobias Schaeffter , Christian Wald , Christoph Kolbitsch