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1D Total Variation (TV) denoising, considering the data fidelity and the Total Variation (TV) regularization, proposes a good restored signal preserving shape edges. The main issue is how to choose the weight $\lambda$ balancing those two…

信号处理 · 电气工程与系统科学 2020-12-18 Zhanhao Liu , Marion Perrodin , Thomas Chambrion , Radu Stoica

Super-resolution and denoising are ill-posed yet fundamental image restoration tasks. In blind settings, the degradation kernel or the noise level are unknown. This makes restoration even more challenging, notably for learning-based…

图像与视频处理 · 电气工程与系统科学 2020-07-24 Majed El Helou , Ruofan Zhou , Sabine Süsstrunk

Full waveform inversion (FWI) is a highly nonlinear and ill-posed problem. On one hand, it can be easily trapped in a local minimum. On the other hand, the inversion results may exhibit strong artifacts and reduced resolution because of…

地球物理 · 物理学 2018-09-26 Dongzhuo Li , Jerry M. Harris

Video sequence capturing through refractive dynamic media, such as a turbulent air or water surface, often suffer from severe geometric distortions and temporal instability. While recent advances address mild atmospheric turbulence, no…

Adaptive optics (AO) corrected ood imaging of the retina is a popular technique for studying the retinal structure and function in the living eye. However, the raw retinal images are usually of poor contrast and the interpretation of such…

最优化与控制 · 数学 2020-12-30 Xiaotong Chen , James L. Herring , James G. Nagy , Yuanzhe Xi , Bo Yu

Super-resolution (SR) has been widely used to convert low-resolution legacy videos to high-resolution (HR) ones, to suit the increasing resolution of displays (e.g. UHD TVs). However, it becomes easier for humans to notice motion artifacts…

计算机视觉与模式识别 · 计算机科学 2022-02-08 Soo Ye Kim , Jihyong Oh , Munchurl Kim

Segmentation plays an important role in many preprocessing stages in image processing. Recently, convex relaxation methods for image multi-labeling were proposed in the literature. Often these models involve the total variation (TV)…

数值分析 · 数学 2012-05-17 S. Häuser , G. Steidl

We propose a new type of regularization functional for images called oscillation total generalized variation (TGV) which can represent structured textures with oscillatory character in a specified direction and scale. The infimal…

数值分析 · 数学 2018-09-17 Yiming Gao , Kristian Bredies

We propose a new fast algorithm for solving one of the standard formulations of frame-based image deconvolution: an unconstrained optimization problem, involving an $\ell_2$ data-fidelity term and a non-smooth regularizer. Our approach is…

最优化与控制 · 数学 2016-11-17 Mario A. T. Figueiredo , Jose M. Bioucas-Dias , Manya V. Afonso

In this work, we introduce a function space setting for a wide class of structural/weighted total variation (TV) regularization methods motivated by their applications in inverse problems. In particular, we consider a regularizer that is…

最优化与控制 · 数学 2018-05-23 Michael Hintermüller , Martin Holler , Kostas Papafitsoros

Signal space models in both phase-encode, and frequency-encode directions are presented for extrapolation of 2D partial kspace. Using the boxcar representation of low-resolution spatial data, and a geometrical representation of signal space…

计算机视觉与模式识别 · 计算机科学 2013-03-12 Joseph Suresh Paul , Uma Krishna Swamy Pillai , Nyjin Thomas

Variational regularization models are one of the popular and efficient approaches for image restoration. The regularization functional in the model carries prior knowledge about the image to be restored. The prior knowledge, in particular…

最优化与控制 · 数学 2021-02-09 Yan-ran Li , Raymond H. F. Chan , Lixin Shen , Xiaosheng Zhuang

Hyperspectrally compressed ultrafast photography (HCUP) based on compressed sensing and the time- and spectrum-to-space mappings can simultaneously realize the temporal and spectral imaging of non-repeatable or difficult-to-repeat transient…

Spatial frequency analysis and transforms serve a central role in most engineered image and video lossy codecs, but are rarely employed in neural network (NN)-based approaches. We propose a novel NN-based image coding framework that…

图像与视频处理 · 电气工程与系统科学 2023-01-04 Hyomin Choi , Fabien Racape , Shahab Hamidi-Rad , Mateen Ulhaq , Simon Feltman

In this paper, we propose a novel approach to hyperspectral image super-resolution by modeling the global spatial-and-spectral correlation and local smoothness properties over hyperspectral images. Specifically, we utilize the tensor…

计算机视觉与模式识别 · 计算机科学 2016-01-26 Shiying He , Haiwei Zhou , Yao Wang , Wenfei Cao , Zhi Han

Total Variation regularization (TV) is a seminal approach for image recovery. TV involves the norm of the image's gradient, aggregated over all pixel locations. Therefore, TV leads to piece-wise constant solutions, resulting in what is…

最优化与控制 · 数学 2023-09-12 Manu Ghulyani , Muthuvel Arigovindan

Optimization within a layer of a deep-net has emerged as a new direction for deep-net layer design. However, there are two main challenges when applying these layers to computer vision tasks: (a) which optimization problem within a layer is…

计算机视觉与模式识别 · 计算机科学 2022-04-08 Raymond A. Yeh , Yuan-Ting Hu , Zhongzheng Ren , Alexander G. Schwing

Flash X-ray computed tomography (CT) is an important imaging modality for characterization of high-speed dynamic events, such as Kolsky bar impact experiments for the study of mechanical properties of materials subjected to impulsive…

图像与视频处理 · 电气工程与系统科学 2024-06-27 Maliha Hossain , Charles A. Bouman , Brendt Wohlberg

In this paper, we investigate image reconstruction for dynamic Computed Tomography. The motion of the target with respect to the measurement acquisition rate leads to highly resolved in time but highly undersampled in space measurements.…

图像与视频处理 · 电气工程与系统科学 2025-06-27 Pablo Arratia , Matthias Ehrhardt , Lisa Kreusser

Tensor Ring (TR) decomposition is a powerful tool for high-order data modeling, but is inherently restricted to discrete forms defined on fixed meshgrids. In this work, we propose a TR functional decomposition for both meshgrid and…

计算机视觉与模式识别 · 计算机科学 2026-03-09 Yangyang Xu , Junbo Ke , You-Wei Wen , Chao Wang