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Nowadays underwater vision systems are being widely applied in ocean research. However, the largest portion of the ocean - the deep sea - still remains mostly unexplored. Only relatively few image sets have been taken from the deep sea due…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Yifan Song , David Nakath , Mengkun She , Furkan Elibol , Kevin Köser

Dix formulated the inverse problem of recovering an elastic body from the measurements of wave fronts of point sources. We geometrize this problem in the context of seismology, leading to the geometrical inverse problem of recovering a…

Differential Geometry · Mathematics 2025-03-14 Maarten V. de Hoop , Joonas Ilmavirta , Matti Lassas

The purpose of marine seismic experiments is to provide information of the structure and physical properties of the subsurface. The P-wave velocity distribution is the most commonly modelled property, usually by inversion of arrival times…

Due to the fractal nature of the domain geometry in geophysical flow simulations, a completely accurate description of the domain in terms of a computational mesh is frequently deemed infeasible. Shoreline and bathymetry simplification…

Computational Geometry · Computer Science 2015-10-07 Alexandros Avdis , Christian T. Jacobs , Jon Hill , Matthew D. Piggott , Gerard J. Gorman

Idealized and comprehensive ocean models at low resolutions cannot reproduce nominally-resolved flow structures similar to those presented in the high-resolution solution. Although there are various underlying physical reasons for this,…

Fluid Dynamics · Physics 2023-05-24 Igor Shevchenko , Pavel Berloff

Sea wave monitoring is key in many applications in oceanography such as the validation of weather and wave models. Conventional in situ solutions are based on moored buoys whose measurements are often recognized as a standard. However,…

Instrumentation and Detectors · Physics 2024-01-10 Lorenzo Iafolla , Emiliano Fiorenza , Massimo Chiappini , Cosmo Carmisciano , Valerio Antonio Iafolla

Monocular depth estimation has experienced significant progress on terrestrial images in recent years, largely due to deep learning advancements. However, it remains inadequate for underwater scenes, primarily because of data scarcity.…

Computer Vision and Pattern Recognition · Computer Science 2023-12-21 Fan Zhang , Shaodi You , Yu Li , Ying Fu

Past efforts to interrogate the mantle's contribution to Earth's topography suffer from inadequate in-situ measurements of true bathymetry and the involvement of an empirical plate model whose presumed lithospheric density profile…

Geophysics · Physics 2023-06-27 Adam J. Stewart , Yanchong Li , Zebin Cao , Lijun Liu

In many applications, it is important to reconstruct a fluid flow field, or some other high-dimensional state, from limited measurements and limited data. In this work, we propose a shallow neural network-based learning methodology for such…

We present a new method for the geometric reconstruction of elastic surfaces simulated by the immersed boundary method with the goal of simulating the motion and interactions of cells in whole blood. Our method uses parameter-free radial…

Numerical Analysis · Mathematics 2022-08-31 Andrew Kassen , Aaron Barrett , Varun Shankar , Aaron L. Fogelson

The BC-method is an approach to inverse problems based on their relations to the boundary control theory. The paper provides a simple and physically transparent description of the method in the case of dynamical inverse data given at a…

Optimization and Control · Mathematics 2017-09-13 M. I. Belishev

Aiming at the problems of color distortion, blur and excessive noise of underwater image, an underwater image enhancement algorithm based on structure-texture reconstruction is proposed. Firstly, the color equalization of the degraded image…

Image and Video Processing · Electrical Eng. & Systems 2020-04-14 Sen Lin , Kaichen Chi

This paper proposes a fast and accurate surface normal estimation method which can be directly used on depth maps (organized point clouds). The surface normal estimation process is formulated as a closed-form expression. In order to reduce…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Saed Moradi , Alireza Memarmoghadam , Denis Laurendeau

Scene reconstruction is an essential capability for underwater robots navigating in close proximity to structures. Monocular vision-based reconstruction methods are unreliable in turbid waters and lack depth scale information. Sonars are…

Robotics · Computer Science 2026-03-17 Ivana Collado-Gonzalez , John McConnell , Paul Szenher , Brendan Englot

In this paper, we construct a well-balanced, positivity preserving finite volume scheme for the shallow water equations based on a continuous, piecewise linear discretization of the bottom topography. The main new technique is a special…

Numerical Analysis · Mathematics 2014-12-12 Andreas Bollermann , Guoxian Chen , Alexander Kurganov , Sebastian Noelle

Estimation of nearshore bathymetry is important for accurate prediction of nearshore wave conditions. However, direct data collection is expensive and time-consuming while accurate airborne lidar-based survey is limited by breaking waves…

Atmospheric and Oceanic Physics · Physics 2023-11-03 Jonghyun Lee , Katherine DeVore , Tyler Hesser , A. Spicer Bak , Katherine Brodie , Brittany Bruder , Matthew Farthing

We focus here on the water waves problem for uneven bottoms in the long-wave regime, on an unbounded two or three-dimensional domain. In order to derive asymptotic models for this problem, we consider two different regimes of bottom…

Analysis of PDEs · Mathematics 2008-12-05 Florent Chazel

In this thesis we consider the free surface flow due to a submerged source in a channel of finite depth. This problem has been considered previously in the literature, with some disagreement about whether or not a train of waves exist on…

Fluid Dynamics · Physics 2014-02-18 Holger Paul Keeler

Recovery of true color from underwater images is an ill-posed problem. This is because the wide-band attenuation coefficients for the RGB color channels depend on object range, reflectance, etc. which are difficult to model. Also, there is…

Computer Vision and Pattern Recognition · Computer Science 2022-12-19 Neham Jain , Gopi Matta , Kaushik Mitra

In this paper, we applied an improved Smoothing Particle Hydrodynamics (SPH) method by using gradient kernel renormalization in three-dimensional cases. The purpose of gradient kernel renormalization is to improve the accuracy of numerical…

Fluid Dynamics · Physics 2013-09-17 Rizal Dwi Prayogo , Christian Fredy Naa
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