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In this paper we consider denoising and inpainting problems for higher dimensional combined cyclic and linear space valued data. These kind of data appear when dealing with nonlinear color spaces such as HSV, and they can be obtained by…

Numerical Analysis · Mathematics 2018-12-10 Ronny Bergmann , Andreas Weinmann

Current HDR acquisition techniques are based on either (i) fusing multibracketed, low dynamic range (LDR) images, (ii) modifying existing hardware and capturing different exposures simultaneously with multiple sensors, or (iii)…

Computer Vision and Pattern Recognition · Computer Science 2018-06-14 Ana Serrano , Felix Heide , Diego Gutierrez , Gordon Wetzstein , Belen Masia

The total variation-based image denoising model has been generalized and extended in numerous ways, improving its performance in different contexts. We propose a new penalty function motivated by the recent progress in the statistical…

Computer Vision and Pattern Recognition · Computer Science 2011-07-28 Aditya Chopra , Heng Lian

Video snapshot compressive imaging (SCI) captures dynamic scene sequences through a two-dimensional (2D) snapshot, fundamentally relying on optical modulation for hardware compression and the corresponding software reconstruction. While…

Computer Vision and Pattern Recognition · Computer Science 2025-12-22 Ge Wang , Xing Liu , Xin Yuan

Spectral compressive imaging (SCI) is able to encode the high-dimensional hyperspectral image to a 2D measurement, and then uses algorithms to reconstruct the spatio-spectral data-cube. At present, the main bottleneck of SCI is the…

Image and Video Processing · Electrical Eng. & Systems 2023-07-04 Lishun Wang , Zongliang Wu , Yong Zhong , Xin Yuan

Video snapshot compressive imaging (SCI) enables the reconstruction of dynamic scenes from a single snapshot measurement. Recently, NeRF-based methods have shown promising reconstruction performance. However, such methods typically adopt…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Yubo Dong , Danhua Liu , Anqi Li , Zhenyuan Lin

Computational photography involves sophisticated capture methods. A new trend is to capture projection of higher dimensional visual signals such as videos, multi-spectral data and lightfields on lower dimensional sensors. Carefully designed…

Computer Vision and Pattern Recognition · Computer Science 2011-09-12 Rohit Pandharkar , Ashok Veeraraghavan , Ramesh Raskar

Reconstruction of images from noisy linear measurements is a core problem in image processing, for which convex optimization methods based on total variation (TV) minimization have been the long-standing state-of-the-art. We present an…

Information Theory · Computer Science 2016-08-31 Jean Barbier , Eric W. Tramel , Florent Krzakala

Snapshot hyperspectral imaging can capture the 3D hyperspectral image (HSI) with a single 2D measurement and has attracted increasing attention recently. Recovering the underlying HSI from the compressive measurement is an ill-posed problem…

Image and Video Processing · Electrical Eng. & Systems 2021-01-25 Niankai Cheng , Hua Huang , Lei Zhang , Lizhi Wang

Compressive imaging is an emerging application of compressed sensing, devoted to acquisition, encoding and reconstruction of images using random projections as measurements. In this paper we propose a novel method to provide a scalable…

Information Theory · Computer Science 2013-10-07 Diego Valsesia , Enrico Magli

Recently, deep learning methods have made a significant improvement in compressive sensing image reconstruction task. In the existing methods, the scene is measured block by block due to the high computational complexity. This results in…

Computer Vision and Pattern Recognition · Computer Science 2018-05-30 Jiang Du , Xuemei Xie , Chenye Wang , Guangming Shi , Xun Xu , Yuxiang Wang

We consider using {\bf\em untrained neural networks} to solve the reconstruction problem of snapshot compressive imaging (SCI), which uses a two-dimensional (2D) detector to capture a high-dimensional (usually 3D) data-cube in a compressed…

Image and Video Processing · Electrical Eng. & Systems 2021-08-31 Ziyi Meng , Zhenming Yu , Kun Xu , Xin Yuan

Manifold amount of video data gets generated every minute as we read this document, ranging from surveillance to broadcasting purposes. There are two roadblocks that restrain us from using this data as such, first being the storage which…

Computer Vision and Pattern Recognition · Computer Science 2019-07-10 Sathyaprakash Narayanan , Yeshwanth Bethi , Chetan Singh Thakur

We propose two new variational models aimed to outperform the popular total variation (TV) model for image restoration with L$_2$ and L$_1$ fidelity terms. In particular, we introduce a space-variant generalization of the TV regularizer,…

Image and Video Processing · Electrical Eng. & Systems 2019-06-28 Alessandro Lanza , Serena Morigi , Monica Pragliola , Fiorella Sgallari

The total variation method is widely used in image noise suppression. However, this method is easy to cause the loss of image details, and it is also sensitive to parameters such as iteration time. In this work, the total variation method…

Image and Video Processing · Electrical Eng. & Systems 2020-03-19 Shuo Huang , Suiren Wan

Transformers have achieved the state-of-the-art performance on solving the inverse problem of Snapshot Compressive Imaging (SCI) for video, whose ill-posedness is rooted in the mixed degradation of spatial masking and temporal aliasing.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Ping Wang , Yulun Zhang , Lishun Wang , Xin Yuan

The spatio-spectral total variation (SSTV) model has been widely used as an effective regularization of hyperspectral images (HSI) for various applications such as mixed noise removal. However, since SSTV computes local spatial differences…

Image and Video Processing · Electrical Eng. & Systems 2022-10-05 Shingo Takemoto , Kazuki Naganuma , Shunsuke Ono

Snapshot compressive imaging (SCI) surges as a novel way of capturing hyperspectral images. It operates an optical encoder to compress the 3D data into a 2D measurement and adopts a software decoder for the signal reconstruction. Recently,…

Image and Video Processing · Electrical Eng. & Systems 2025-03-21 Jiamian Wang , Kunpeng Li , Yulun Zhang , Xin Yuan , Zhiqiang Tao

2D Total Variation Denoising (TVD) is a widely used technique for image denoising. It is also an important nonparametric regression method for estimating functions with heterogenous smoothness. Recent results have shown the TVD estimator to…

Statistics Theory · Mathematics 2024-06-26 Sabyasachi Chatterjee , Subhajit Goswami

The task of capturing and rendering 3D dynamic scenes from 2D images has become increasingly popular in recent years. However, most conventional cameras are bandwidth-limited to 30-60 FPS, restricting these methods to static or slowly…

Computer Vision and Pattern Recognition · Computer Science 2026-04-30 David Novikov , Eilon Vaknin , Narek Tumanyan , Mark Sheinin
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