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In this work we deal with parametric inverse problems, which consist in recovering a finite number of parameters describing the structure of an unknown object, from indirect measurements. State-of-the-art methods for approximating a…

Numerical Analysis · Mathematics 2021-12-22 Paolo Massa , Sara Garbarino , Federico Benvenuto

State-of-the-art neural networks can be trained to become remarkable solutions to many problems. But while these architectures can express symbolic, perfect solutions, trained models often arrive at approximations instead. We show that the…

Machine Learning · Computer Science 2025-09-09 Matan Abudy , Orr Well , Emmanuel Chemla , Roni Katzir , Nur Lan

The aim of this paper is to discuss some advanced aspects of image reconstruction in single-pixel cameras, focusing in particular on detectors in the THz regime. We discuss the reconstruction problem from a computational imaging perspective…

Optimization and Control · Mathematics 2021-09-24 Martin Burger , Lea Föcke , Lukas Nickel , Peter Jung , Sven Augustin

We address the problem of image reconstruction from incomplete measurements, encompassing both upsampling and inpainting, within a learning-based framework. Conventional supervised approaches require fully sampled ground truth data, while…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Benjamin Walder , Daniel Toader , Robert Nuster , Günther Paltauf , Peter Burgholzer , Gregor Langer , Lukas Krainer , Markus Haltmeier

Image rescaling aims to learn the optimal low-resolution (LR) image that can be accurately reconstructed to its original high-resolution (HR) counterpart, providing an efficient image processing and storage method for ultra-high definition…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Ce Wang , Zhenyu Hu , Wanjie Sun , Zhenzhong Chen

The structure of the reconstruction algorithm OPED permits a natural way to generate additional data, while still preserving the essential feature of the algorithm. This provides a method for image reconstruction for limited angel problems.…

Numerical Analysis · Mathematics 2008-11-04 Yuan Xu , Oleg Tischenko

A primary interest in dynamic inverse problems is to identify the underlying temporal behaviour of the system from outside measurements. In this work we consider the case, where the target can be represented by a decomposition of spatial…

Numerical Analysis · Mathematics 2020-06-09 Simon Arridge , Pascal Fernsel , Andreas Hauptmann

Tomography is an imaging technique that works by reconstructing a scene from acquired data in the form of line integrals of the imaging domain. A fundamental underlying assumption in the reconstruction procedure is the precise alignment of…

Numerical Analysis · Mathematics 2018-07-13 Toby Sanders

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.…

Image and Video Processing · Electrical Eng. & Systems 2025-06-27 Pablo Arratia , Matthias Ehrhardt , Lisa Kreusser

Reconstructing the 3D mesh of a general object from a single image is now possible thanks to the latest advances of deep learning technologies. However, due to the nontrivial difficulty of generating a feasible mesh structure, the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Junyi Pan , Xiaoguang Han , Weikai Chen , Jiapeng Tang , Kui Jia

The inherent ill-posed nature of image reconstruction problems, due to limitations in the physical acquisition process, is typically addressed by introducing a regularisation term that incorporates prior knowledge about the underlying…

Image and Video Processing · Electrical Eng. & Systems 2025-03-11 Naïl Khelifa , Ferdia Sherry , Carola-Bibiane Schönlieb

State-of-the-art learned reconstruction methods often rely on black-box modules that, despite their strong performance, raise questions about their interpretability and robustness. Here, we build on a recently proposed image reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2026-05-19 Joshua Schulz , David Schote , Christoph Kolbitsch , Kostas Papafitsoros , Andreas Kofler

Since the matrix formed by nonlocal similar patches in a natural image is of low rank, the nuclear norm minimization (NNM) has been widely used in various image processing studies. Nonetheless, nuclear norm based convex surrogate of the…

Computer Vision and Pattern Recognition · Computer Science 2017-06-28 Zhiyuan Zha , Xinggan Zhang , Yu Wu , Qiong Wang , Lan Tang

This research introduces a transformative framework for integrating Vision-Enhanced Large Language Models (LLMs) with advanced transformer-based architectures to tackle challenges in high-resolution image synthesis and multimodal data…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Karthikeya KV

We propose a variational approach to obtain super-resolution images from multiple low-resolution frames extracted from video clips. First the displacement between the low-resolution frames and the reference frame are computed by an optical…

Computer Vision and Pattern Recognition · Computer Science 2017-04-21 Rui Zhao , Raymond H. Chan

In recent years, tremendous efforts have been made on document image rectification, but existing advanced algorithms are limited to processing restricted document images, i.e., the input images must incorporate a complete document. Once the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Hao Feng , Shaokai Liu , Jiajun Deng , Wengang Zhou , Houqiang Li

We propose a template-driven triangulation framework that embeds raster- or segmentation-derived boundaries into a regular triangular grid for stable PDE discretization on image-derived domains. Unlike constrained Delaunay triangulation…

Computational Geometry · Computer Science 2026-03-24 Wei Feng , Haiyong Zheng

Image-based 3D reconstruction is one of the most important tasks in Computer Vision with many solutions proposed over the last few decades. The objective is to extract metric information i.e. the geometry of scene objects directly from…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 Qiao Chen , Charalambos Poullis

Super-resolution is an important but difficult problem in image/video processing. If a video sequence or some training set other than the given low-resolution image is available, this kind of extra information can greatly aid in the…

Computer Vision and Pattern Recognition · Computer Science 2007-09-13 Heng Lian

Gravitational lens modeling of spatially resolved sources is a challenging inverse problem with many observational constraints and model parameters. We examine established pixel-based source reconstruction algorithms for de-lensing the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Amitpal Tagore , Charles Keeton