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In this work we show how to construct connectivity kernels induced by the receptive profiles of simple cells of the primary visual cortex (V1). These kernels are directly defined by the shape of such profiles: this provides a metric model…

Metric Geometry · Mathematics 2019-10-14 Noemi Montobbio , Giovanna Citti , Alessandro Sarti

We study the problem of reconstructing a signal from its projection on a subspace. The proposed signal reconstruction algorithms utilize a guiding subspace that represents desired properties of reconstructed signals. We show that optimal…

Information Theory · Computer Science 2016-06-13 Akshay Gadde , Andrew Knyazev , Dong Tian , Hassan Mansour

As aliasing artefacts are highly structural and non-local, many MRI reconstruction networks use pooling to enlarge filter coverage and incorporate global context. However, this inadvertently impedes fine detail recovery as downsampling…

Image and Video Processing · Electrical Eng. & Systems 2023-12-01 Wendi Ma , Marlon Bran Lorenzana , Wei Dai , Hongfu Sun , Shekhar S. Chandra

Image inpainting has earned substantial progress, owing to the encoder-and-decoder pipeline, which is benefited from the Convolutional Neural Networks (CNNs) with convolutional downsampling to inpaint the masked regions semantically from…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Haipeng Liu , Yang Wang , Biao Qian , Yong Rui , Meng Wang

Current deep image super-resolution (SR) approaches aim to restore high-resolution images from down-sampled images or by assuming degradation from simple Gaussian kernels and additive noises. However, these techniques only assume crude…

Computer Vision and Pattern Recognition · Computer Science 2024-09-06 Hu Wang , Congbo Ma , Jianpeng Zhang , Wei Emma Zhang , Gustavo Carneiro

In this paper, we rethink the problem of scene reconstruction from an embodied agent's perspective: While the classic view focuses on the reconstruction accuracy, our new perspective emphasizes the underlying functions and constraints such…

Robotics · Computer Science 2021-03-31 Muzhi Han , Zeyu Zhang , Ziyuan Jiao , Xu Xie , Yixin Zhu , Song-Chun Zhu , Hangxin Liu

Reversible image watermarking guaranties restoration of both original cover and watermark logo from the watermarked image. Capacity and distortion of the image under reversible watermarking are two important parameters. In this study a…

Computer Vision and Pattern Recognition · Computer Science 2018-02-23 Hamidreza Zarrabi , Mohsen Hajabdollahi , S. M. Reza Soroushmehr , Nader Karimi , Shadrokh Samavi , Kayvan Najarian

Blind image restoration is a non-convex problem which involves restoration of images from an unknown blur kernel. The factors affecting the performance of this restoration are how much prior information about an image and a blur kernel are…

Computer Vision and Pattern Recognition · Computer Science 2015-12-15 Chia-Chen Lee , Wen-Liang Hwang

Image denoising is still a challenging issue in many computer vision sub-domains. Recent studies show that significant improvements are made possible in a supervised setting. However, few challenges, such as spatial fidelity and…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Masud An Nur Islam Fahim , Nazmus Saqib , Shafkat Khan Siam , Ho Yub Jung

Magnetic Particle Imaging (MPI) is a preclinical imaging technique capable of visualizing the spatio-temporal distribution of magnetic nanoparticles. The image reconstruction of this fast and dynamic process relies on efficiently solving an…

Numerical Analysis · Mathematics 2021-09-15 Florian Lieb , Tobias Knopp

Image downscaling is critical for efficient storage and transmission of high-resolution (HR) images. Existing learning-based methods focus on performing downscaling within the sRGB domain, which typically suffers from blurred details and…

Image and Video Processing · Electrical Eng. & Systems 2025-08-01 Yang Ren , Hai Jiang , Wei Li , Menglong Yang , Heng Zhang , Zehua Sheng , Qingsheng Ye , Shuaicheng Liu

Graph kernels have been successfully applied to many graph classification problems. Typically, a kernel is first designed, and then an SVM classifier is trained based on the features defined implicitly by this kernel. This two-stage…

Understanding the mechanisms underlying deep neural networks remains a fundamental challenge in machine learning and computer vision. One promising, yet only preliminarily explored approach, is feature inversion, which attempts to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-15 Jan Rathjens , Shirin Reyhanian , David Kappel , Laurenz Wiskott

In the recent years, there has been a significant improvement in the quality of samples produced by (deep) generative models such as variational auto-encoders and generative adversarial networks. However, the representation capabilities of…

Image and Video Processing · Electrical Eng. & Systems 2026-03-31 Shady Abu Hussein , Tom Tirer , Raja Giryes

In order to reconstruct the initial conditions of the universe it is important to devise a method that can efficiently constrain the shape of the power spectrum of primordial matter density fluctuations in a model-independent way from data.…

Astrophysics · Physics 2009-11-10 Pia Mukherjee , Yun Wang

We tackle the image reassembly problem with wide space between the fragments, in such a way that the patterns and colors continuity is mostly unusable. The spacing emulates the erosion of which the archaeological fragments suffer. We…

Computer Vision and Pattern Recognition · Computer Science 2020-05-27 Marie-Morgane Paumard , David Picard , Hedi Tabia

Undoing the image formation process and therefore decomposing appearance into its intrinsic properties is a challenging task due to the under-constraint nature of this inverse problem. While significant progress has been made on inferring…

Computer Vision and Pattern Recognition · Computer Science 2015-11-16 Konstantinos Rematas , Tobias Ritschel , Mario Fritz , Efstratios Gavves , Tinne Tuytelaars

This paper proposes a non-data-driven deep neural network for spectral image recovery problems such as denoising, single hyperspectral image super-resolution, and compressive spectral imaging reconstruction. Unlike previous methods, the…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Tatiana Gelvez-Barrera , Jorge Bacca , Henry Arguello

Video frame interpolation task has recently become more and more prevalent in the computer vision field. At present, a number of researches based on deep learning have achieved great success. Most of them are either based on optical flow…

Computer Vision and Pattern Recognition · Computer Science 2022-04-26 Haoyue Tian , Pan Gao , Xiaojiang Peng

In this paper, we analyze the error estimate of a wavelet frame based image restoration method from degraded and incomplete measurements. We present the error between the underlying original discrete image and the approximate solution which…

Analysis of PDEs · Mathematics 2022-08-23 Jian-Feng Cai , Jae Kyu Choi , Jianbin Yang