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Sensor fusion is essential for autonomous driving and autonomous robots, and radar-camera fusion systems have gained popularity due to their complementary sensing capabilities. However, accurate calibration between these two sensors is…

Robotics · Computer Science 2024-01-26 Lei Cheng , Siyang Cao

Metamorphosis is a method for diffeomorphic matching of shapes, with many potential applications for anatomical shape comparison in medical imagery, a problem which is central to the field of computational anatomy. An important tool for the…

Optimization and Control · Mathematics 2014-09-24 Casey L Richardson , Laurent Younes

The numerical approximation of solutions of parametric or stochastic hyperbolic PDEs is still a serious challenge. Because of shock singularities, most methods from the elliptic and parabolic regime, such as reduced basis methods, POD or…

Numerical Analysis · Mathematics 2017-11-01 G. Welper

We analyze the coordinate descent method with a new coordinate selection strategy, called volume sampling. This strategy prescribes selecting subsets of variables of certain size proportionally to the determinants of principal submatrices…

Optimization and Control · Mathematics 2020-04-30 Anton Rodomanov , Dmitry Kropotov

Real-time satellite imaging has a central role in monitoring, detecting and estimating the intensity of key natural phenomena such as floods, earthquakes, etc. One important constraint of satellite imaging is the trade-off between…

Image and Video Processing · Electrical Eng. & Systems 2023-01-09 Haoqing Li , Bhavya Duvvuri , Ricardo Borsoi , Tales Imbiriba , Edward Beighley , Deniz Erdogmus , Pau Closas

This paper addresses the problem of single snapshot Direction-of-Arrival (DOA) estimation, which is of great importance in a wide-range of applications including automotive radar. A popular approach to achieving high angular resolution when…

Signal Processing · Electrical Eng. & Systems 2024-03-12 Yinyan Bu , Robin Rajamäki , Anand Dabak , Rajan Narasimha , Anil Mani , Piya Pal

Atmospheric tomography, the problem of reconstructing atmospheric turbulence profiles from wavefront sensor measurements, is an integral part of many adaptive optics systems used for enhancing the image quality of ground-based telescopes.…

Numerical Analysis · Mathematics 2025-02-06 Lukas Weissinger , Simon Hubmer , Bernadett Stadler , Ronny Ramlau

Usual Structure-from-Motion (SfM) techniques require at least trifocal overlaps to calibrate cameras and reconstruct a scene. We consider here scenarios of reduced image sets with little overlap, possibly as low as two images at most seeing…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Yohann Salaun , Renaud Marlet , Pascal Monasse

Typical Structure-from-Motion (SfM) pipelines rely on finding correspondences across images, recovering the projective structure of the observed scene and upgrading it to a metric frame using camera self-calibration constraints. Solving…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Rui Gong , Danda Pani Paudel , Ajad Chhatkuli , Luc Van Gool

This paper presents a data-driven finite volume method for solving 1D and 2D hyperbolic partial differential equations. This work builds upon the prior research incorporating a data-driven finite-difference approximation of smooth solutions…

Numerical Analysis · Mathematics 2025-02-25 Guillaume de Romémont , Florent Renac , Jorge Nunez , Francisco Chinesta

With the recent advances in autonomous driving and the decreasing cost of LiDARs, the use of multimodal sensor systems is on the rise. However, in order to make use of the information provided by a variety of complimentary sensors, it is…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Quentin Herau , Nathan Piasco , Moussab Bennehar , Luis Roldão , Dzmitry Tsishkou , Cyrille Migniot , Pascal Vasseur , Cédric Demonceaux

Driven by large data trained segmentation models, such as SAM , research in one-shot segmentation has experienced significant advancements. Recent contributions like PerSAM and MATCHER , presented at ICLR 2024, utilize a similar approach by…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Zhiyu Xu , Qingliang Chen

This paper presents a novel method for the reconstruction of high-resolution temporal images in dynamic tomographic imaging, particularly for discrete objects with smooth boundaries that vary over time. Addressing the challenge of limited…

Image and Video Processing · Electrical Eng. & Systems 2023-11-10 Ajinkya Kadu , Felix Lucka , Kees Joost Batenburg

This paper addresses the structure-and-motion problem, that requires to find camera motion and 3D struc- ture from point matches. A new pipeline, dubbed Samantha, is presented, that departs from the prevailing sequential paradigm and…

Computer Vision and Pattern Recognition · Computer Science 2015-10-30 Roberto Toldo , Riccardo Gherardi , Michela Farenzena , Andrea Fusiello

Chemical kinetic models in terms of ordinary differential equations correspond to finite dimensional dissipative dynamical systems involving a multiple time scale structure. Most dimension reduction approaches aimed at a slow…

Dynamical Systems · Mathematics 2014-10-27 Dirk Lebiedz , Jonas Unger

Many inverse problems in nuclear fusion and high-energy astrophysics research, such as the optimization of tokamak reactor geometries or the inference of black hole parameters from interferometric images, necessitate high-dimensional…

Machine Learning · Computer Science 2025-05-09 Jonathan Gorard , Ammar Hakim , Hong Qin , Kyle Parfrey , Shantenu Jha

Hyperspectral imaging is one of the most promising techniques for intraoperative tissue characterisation. Snapshot mosaic cameras, which can capture hyperspectral data in a single exposure, have the potential to make a real-time…

Image and Video Processing · Electrical Eng. & Systems 2021-12-02 Peichao Li , Michael Ebner , Philip Noonan , Conor Horgan , Anisha Bahl , Sebastien Ourselin , Jonathan Shapey , Tom Vercauteren

We present a fast method for nonlinear data-driven model reduction of dynamical systems onto their slowest nonresonant spectral submanifolds (SSMs). We use observed data to locate a low-dimensional, attracting slow SSM and compute a…

Dynamical Systems · Mathematics 2022-05-02 Joar Axås , Mattia Cenedese , George Haller

We analyze the spatial structure of asymptotics of a solution to a singularly perturbed system of mass transfer equations. The leading term of the asymptotics is described by a parabolic equation with possibly degenerate spatial part. We…

Analysis of PDEs · Mathematics 2021-10-12 Vitaly A. Krasikov , Andrey V. Nesterov

While camera and LiDAR are widely used in most of the assisted and autonomous driving systems, only a few works have been proposed to associate the temporal synchronization and extrinsic calibration for camera and LiDAR which are dedicated…

Robotics · Computer Science 2022-07-22 Shouan Wang , Xinyu Zhang , GuiPeng Zhang , Yijin Xiong , Ganglin Tian , Shichun Guo , Jun Li