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Modern applications such as self-driving cars and drones rely heavily upon robust object detection techniques. However, weather corruptions can hinder the object detectability and pose a serious threat to their navigation and reliability.…

Image and Video Processing · Electrical Eng. & Systems 2022-04-06 Aboli Marathe , Pushkar Jain , Rahee Walambe , Ketan Kotecha

A novel reconstruction method is introduced for the severely ill-posed inverse problem of limited-angle tomography. It is well known that, depending on the available measurement, angles specify a subset of the wavefront set of the unknown…

Image and Video Processing · Electrical Eng. & Systems 2023-10-26 Elli Karvonen , Matti Lassas , Pekka Pankka , Samuli Siltanen

Data-driven modeling can suffer from a constant demand for data, leading to reduced accuracy and impractical for engineering applications due to the high cost and scarcity of information. To address this challenge, we propose a progressive…

Machine Learning · Computer Science 2023-10-09 Teeratorn Kadeethum , Daniel O'Malley , Youngsoo Choi , Hari S. Viswanathan , Hongkyu Yoon

We present an algorithm for focusing inversion of electrical resistivity tomography (ERT) data. ERT is a typical example of ill-posed problem. Regularization is the most common way to face this kind of problems; it basically consists in…

Geophysics · Physics 2007-05-23 G. Pagliara , G. Vignoli

Low-dose Computed Tomography is a common issue in reality. Current reduction, sparse sampling and limited-view scanning can all cause it. Between them, limited-view CT is general in the industry due to inevitable mechanical and physical…

Image and Video Processing · Electrical Eng. & Systems 2021-01-20 Ken Deng , Chang Sun , Yitong Liu , Hongwen Yang

As autonomous vehicles and advanced driving assistance systems have entered wider deployment, there is an increased interest in building robust perception systems using radars. Radar-based systems are lower cost and more robust to adverse…

Signal Processing · Electrical Eng. & Systems 2023-12-14 Bo Yang , Ishan Khatri , Michael Happold , Chulong Chen

Recovering a function from integrals over conical surfaces recently got significant interest. It is relevant for emission tomography with Compton cameras and other imaging applications. In this paper, we consider the weighted conical Radon…

Numerical Analysis · Mathematics 2018-12-05 Markus Haltmeier , Daniela Schiefeneder

An alternative data-driven modeling approach has been proposed and employed to gain fundamental insights into robot motion interaction with granular terrain at certain length scales. The approach is based on an integration of dimension…

Robotics · Computer Science 2025-06-13 Guanjin Wang , Xiangxue Zhao , Shapour Azarm , Balakumar Balachandran

Despite significant advancements in environment perception capabilities for autonomous driving and intelligent robotics, cameras and LiDARs remain notoriously unreliable in low-light conditions and adverse weather, which limits their…

Computer Vision and Pattern Recognition · Computer Science 2025-01-31 Lei Cheng , Siyang Cao

Increasingly in medical imaging has emerged an issue surrounding the reconstruction of noisy images from raw measurement data. Where the forward problem is the generation of raw measurement data from a ground truth image, the inverse…

Image and Video Processing · Electrical Eng. & Systems 2020-03-24 Adam Peace

This paper proposes a randomized optimization framework for constrained signal reconstruction, where the word "constrained" implies that data-fidelity is imposed as a hard constraint instead of adding a data-fidelity term to an objective…

Optimization and Control · Mathematics 2024-06-28 Shunsuke Ono

Traditional vision-based autonomous driving systems often face difficulties in navigating complex environments when relying solely on single-image inputs. To overcome this limitation, incorporating temporal data such as past image frames or…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Tuong Do , Binh X. Nguyen , Quang D. Tran , Erman Tjiputra , Te-Chuan Chiu , Anh Nguyen

We address the problem of reconstructing X-Ray tomographic images from scarce measurements by interpolating missing acquisitions using a self-supervised approach. To do so, we train shallow neural networks to combine two neighbouring…

Image and Video Processing · Electrical Eng. & Systems 2022-05-18 Emilien Valat , Katayoun Farrahi , Thomas Blumensath

In this paper we consider inverse problems that are mathematically ill-posed. That is, given some (noisy) data, there is more than one solution that approximately fits the data. In recent years, deep neural techniques that find the most…

Machine Learning · Computer Science 2023-08-28 Moshe Eliasof , Eldad Haber , Eran Treister

Reducing MRI scan times can improve patient care and lower healthcare costs. Many acceleration methods are designed to reconstruct diagnostic-quality images from sparse k-space data, via an ill-posed or ill-conditioned linear inverse…

Image and Video Processing · Electrical Eng. & Systems 2025-05-16 Arda Atalık , Sumit Chopra , Daniel K. Sodickson

Inversion of Radon transforms is the mathematical foundation of many modern tomographic imaging modalities. In this paper we study a conical Radon transform, which is important for computed tomography taking Compton scattering into account.…

Numerical Analysis · Mathematics 2016-07-19 Markus Haltmeier

Interrupted X-ray computed tomography (X-CT) has been the common way to observe the deformation of materials during an experiment. While this approach is effective for quasi-static experiments, it has never been possible to reconstruct a…

Instrumentation and Detectors · Physics 2024-10-29 Ivan Grega , William F. Whitney , Vikram S. Deshpande

Recently, 4D millimetre-wave radar exhibits more stable perception ability than LiDAR and camera under adverse conditions (e.g. rain and fog). However, low-quality radar points hinder its application, especially the odometry task that…

Robotics · Computer Science 2025-03-04 Zhiheng Li , Yubo Cui , Ningyuan Huang , Chenglin Pang , Zheng Fang

We present a method that lowers the dose required for a ptychographic reconstruction by adaptively scanning the specimen, thereby providing the required spatial information redundancy in the regions of highest importance. The proposed…

Computational Physics · Physics 2022-03-30 Marcel Schloz , Johannes Müller , Thomas C. Pekin , Wouter Van den Broek , Christoph T. Koch

A modified Radon transform for noisy data is introduced and its inversion formula is established. The problem of recovering the multivariate probability density function $f$ from the moments of its modified Radon transform $\widehat{R}f$ is…

Functional Analysis · Mathematics 2017-01-06 Hayoung Choi , Farhad Jafari , Robert Mnatsakanov