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Deep convolutional neural networks trained on large datsets have emerged as an intriguing alternative for compressing images and solving inverse problems such as denoising and compressive sensing. However, it has only recently been realized…

Machine Learning · Computer Science 2019-07-09 Reinhard Heckel

Implicit Neural Representations (INRs) and Neural Fields are a novel paradigm for signal representation, from images and audio to 3D scenes and videos. The fundamental idea is to represent a signal as a continuous and differentiable neural…

Computer Vision and Pattern Recognition · Computer Science 2025-10-16 Leo Hoshikawa , Marcos V. Conde , Takeshi Ohashi , Atsushi Irie

We consider the recovery of a continuous domain piecewise constant image from its non-uniform Fourier samples using a convex matrix completion algorithm. We assume the discontinuities/edges of the image are localized to the zero levelset of…

Information Theory · Computer Science 2018-02-14 Greg Ongie , Sampurna Biswas , Mathews Jacob

For decades, video compression technology has been a prominent research area. Traditional hybrid video compression framework and end-to-end frameworks continue to explore various intra- and inter-frame reference and prediction strategies…

Image and Video Processing · Electrical Eng. & Systems 2024-10-04 Gai Zhang , Xinfeng Zhang , Lv Tang , Yue Li , Kai Zhang , Li Zhang

Representing visual signals with implicit coordinate-based neural networks, as an effective replacement of the traditional discrete signal representation, has gained considerable popularity in computer vision and graphics. In contrast to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-26 Xin Huang , Qi Zhang , Ying Feng , Hongdong Li , Qing Wang

Implicit Neural Representations (INRs) have emerged as a powerful paradigm for representing signals such as images, 3D shapes, signed distance fields, and radiance fields. While significant progress has been made in architecture design…

Artificial Intelligence · Computer Science 2026-04-10 Plein Versace

Implicit representation of an image can map arbitrary coordinates in the continuous domain to their corresponding color values, presenting a powerful capability for image reconstruction. Nevertheless, existing implicit representation…

Computer Vision and Pattern Recognition · Computer Science 2023-10-16 Canyu Zhang , Xiaoguang Li , Qing Guo , Song Wang

The arbitrary-scale image super-resolution (ASISR), a recent popular topic in computer vision, aims to achieve arbitrary-scale high-resolution recoveries from a low-resolution input image. This task is realized by representing the image as…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Qi Xie , Jiahong Fu , Zongben Xu , Deyu Meng

Implicit Neural Representations (INRs) have emerged as a powerful tool for geometric representation, yet their suitability for physics-based simulation remains underexplored. While metrics like Hausdorff distance quantify surface…

Computational Engineering, Finance, and Science · Computer Science 2026-02-03 Samundra Karki , Adarsh Krishnamurthy , Baskar Ganapathysubramanian

The recent success of NeRF and other related implicit neural representation methods has opened a new path for continuous image representation, where pixel values no longer need to be looked up from stored discrete 2D arrays but can be…

Computer Vision and Pattern Recognition · Computer Science 2022-07-06 Xingqian Xu , Zhangyang Wang , Humphrey Shi

Diffusion magnetic resonance imaging (dMRI) enables non-invasive investigation of tissue microstructure. The Standard Model (SM) of white matter aims to disentangle dMRI signal contributions from intra- and extra-axonal water compartments.…

Image and Video Processing · Electrical Eng. & Systems 2026-04-15 Tom Hendriks , Gerrit Arends , Edwin Versteeg , Anna Vilanova , Maxime Chamberland , Chantal M. W. Tax

Synthetic aperture sonar (SAS) image resolution is constrained by waveform bandwidth and array geometry. Specifically, the waveform bandwidth determines a point spread function (PSF) that blurs the locations of point scatterers in the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-17 Albert Reed , Thomas Blanford , Daniel C. Brown , Suren Jayasuriya

Dynamic magnetic resonance imaging (dMRI) captures temporally-resolved anatomy but is often challenged by limited sampling and motion-induced artifacts. Conventional motion-compensated reconstructions typically rely on pre-estimated optical…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Baoqing Li , Yuanyuan Liu , Congcong Liu , Qingyong Zhu , Jing Cheng , Yihang Zhou , Hao Chen , Zhuo-Xu Cui , Dong Liang

In recent years, deep neural networks have emerged as a solution for inverse imaging problems. These networks are generally trained using pairs of images: one degraded and the other of high quality, the latter being called 'ground truth'.…

Information Retrieval · Computer Science 2025-10-01 Victor Sechaud , Patrice Abry , Laurent Jacques , Julián Tachella

We introduce a method to recover a continuous domain representation of a piecewise constant two-dimensional image from few low-pass Fourier samples. Assuming the edge set of the image is localized to the zero set of a trigonometric…

Computer Vision and Pattern Recognition · Computer Science 2016-04-25 Greg Ongie , Mathews Jacob

Multi-contrast MRI sequences allow for the acquisition of images with varying tissue contrast within a single scan. The resulting multi-contrast images can be used to extract quantitative information on tissue microstructure. To make such…

Image and Video Processing · Electrical Eng. & Systems 2025-09-08 Natascha Niessen , Carolin M. Pirkl , Ana Beatriz Solana , Hannah Eichhorn , Veronika Spieker , Wenqi Huang , Tim Sprenger , Marion I. Menzel , Julia A. Schnabel

We introduce a novel optimization algorithm for image recovery under learned sparse and low-rank constraints, which we parameterize as weighted extensions of the $\ell_p^p$-vector and $\mathcal S_p^p$ Schatten-matrix quasi-norms for…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Stamatios Lefkimmiatis , Iaroslav Koshelev

Implicit neural representations (INRs) have achieved impressive results for scene reconstruction and computer graphics, where their performance has primarily been assessed on reconstruction accuracy. As INRs make their way into other…

Image and Video Processing · Electrical Eng. & Systems 2023-05-04 Francisca Vasconcelos , Bobby He , Nalini Singh , Yee Whye Teh

In this paper we study the performance of image reconstruction methods from incomplete samples of the 2D discrete Fourier transform. Inspired by requirements in parallel MRI, we focus on a special sampling pattern with a small number of…

Numerical Analysis · Mathematics 2025-10-22 Gerlind Plonka , Anahita Riahi

Implicit neural representations (INRs) have demonstrated success in a variety of applications, including inverse problems and neural rendering. An INR is typically trained to capture one signal of interest, resulting in learned neural…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Kushal Vyas , Ahmed Imtiaz Humayun , Aniket Dashpute , Richard G. Baraniuk , Ashok Veeraraghavan , Guha Balakrishnan
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