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A two-step shape reconstruction method for diffuse optical tomography (DOT) is presented which uses adjoint fields and level sets. The propagation of near-infrared photons in tissue is modeled by the time-dependent linear transport…

Numerical Analysis · Mathematics 2025-10-20 Oliver Dorn

Full waveform inversion (FWI) aims at estimating subsurface medium properties from measured seismic data. It is usually cast as a non-linear least-squares problem that incorporates uncertainties in the measurements. In exploration…

Optimization and Control · Mathematics 2019-04-02 Tristan van Leeuwen

The exploration of petroleum reservoirs has a close relationship with the identification of salt domes. To efficiently interpret salt-dome structures, in this paper, we propose a method that tracks salt-dome boundaries through seismic…

Image and Video Processing · Electrical Eng. & Systems 2019-01-11 Zhen Wang , Zhiling Long , Ghassan AlRegib

For many applications, we need to use techniques to represent convex shapes and objects. In this work, we use level set method to represent shapes and find a necessary and sufficient condition on the level set function to guarantee the…

Numerical Analysis · Mathematics 2018-11-13 Shousheng Luo , Xue-cheng Tai

Seismic full-waveform inversion (FWI) uses full seismic records to estimate subsurface velocity structure. This requires a highly nonlinear and nonunique inverse problem to be solved, and Bayesian methods have been used to quantify…

Geophysics · Physics 2021-04-13 Xin Zhang , Andrew Curtis

This research addresses the challenge of estimating bathymetry from imaging sonars where the state-of-the-art works have primarily relied on either supervised learning with ground-truth labels or surface rendering based on the Lambertian…

Robotics · Computer Science 2024-08-20 Yiping Xie , Giancarlo Troni , Nils Bore , John Folkesson

We develop a new optimisation technique that combines multiresolution subdivision surfaces for boundary description with immersed finite elements for the discretisation of the primal and adjoint problems of optimisation. Similar to wavelets…

Numerical Analysis · Mathematics 2016-01-20 Kosala Bandara , Thomas Rüberg , Fehmi Cirak

We propose a level set method to reconstruct unknown surfaces from point clouds, without assuming that the connections between points are known. We consider a variational formulation with a curvature constraint that minimizes the surface…

Numerical Analysis · Mathematics 2024-10-30 Silvia Preda , Matteo Semplice

Seismic exploration remains the most critical method for characterizing subsurface structures in geophysics. However, complex surface conditions often cause a non-uniform distribution of seismic receivers along survey lines, leading to…

Image and Video Processing · Electrical Eng. & Systems 2026-03-09 Mingwei Wang , Junheng Peng , Yingtian Liu , Yong Li

We present a novel method for reconstructing the shape of an object from measured gradient data. A certain class of optical sensors does not measure the shape of an object, but its local slope. These sensors display several advantages,…

Optics · Physics 2009-11-13 Svenja Ettl , Jürgen Kaminski , Markus C. Knauer , Gerd Häusler

Bayesian approaches are one of the primary methodologies to tackle an inverse problem in high dimensions. Such an inverse problem arises in hydrology to infer the permeability field given flow data in a porous media. It is common practice…

Methodology · Statistics 2023-10-02 Navid Shervani-Tabar

Seismic velocity inversion is a key task in geophysical exploration, enabling the reconstruction of subsurface structures from seismic wave data. It is critical for high-resolution seismic imaging and interpretation. Traditional…

Geophysics · Physics 2025-09-29 Mahedi Hasan

We propose a formulation of full-wavefield inversion (FWI) as a constrained optimization problem, and describe a computationally efficient technique for solving constrained full-wavefield inversion (CFWI). The technique is based on using a…

Geophysics · Physics 2014-10-28 Musa Maharramov , Biondo Biondi

Seismic data are commonly modeled by a high-frequency single scattering approximation. This amounts to a linearization in the medium coefficient about a smooth background. The discontinuities are contained in the medium perturbation. The…

Analysis of PDEs · Mathematics 2009-09-25 Christiaan C. Stolk , Maarten V. de Hoop

In this work, we contribute to the broader understanding of inverse problems by introducing a versatile multiscale modeling framework tailored to the challenges of sediment concentration estimation. Specifically, we propose a novel approach…

Numerical Analysis · Mathematics 2025-03-14 Jiwei Li , Lingyun Qiu , Zhongjing Wang , Hui Yu , Siqin Zheng

This review explores the integration of deep learning (DL) with full-waveform inversion (FWI) for enhanced seismic imaging and subsurface characterization. It covers FWI and DL fundamentals, geophysical applications (velocity estimation,…

Geophysics · Physics 2025-02-26 Christopher Zerafa , Pauline Galea , Cristiana Sebu

Mapping the seafloor with underwater imaging cameras is of significant importance for various applications including marine engineering, geology, geomorphology, archaeology and biology. For shallow waters, among the underwater imaging…

Computer Vision and Pattern Recognition · Computer Science 2022-12-21 Panagiotis Agrafiotis , Konstantinos Karantzalos , Andreas Georgopoulos

In recent years, deep learning (DL) has emerged as a promising alternative approach for various seismic processing tasks, including primary estimation (or multiple elimination), a crucial step for accurate subsurface imaging. In geophysics,…

Geophysics · Physics 2025-02-11 Jing Sun , Tiexing Wang , Eric Verschuur , Ivan Vasconcelos

The reconstruction of water wave elevation from bottom pressure measurements is an important issue for coastal applications, but corresponds to a difficult mathematical problem. In this paper we present the derivation of a method which…

Fluid Dynamics · Physics 2017-11-22 Philippe Bonneton , David Lannes

We present a novel multi-view implicit surface reconstruction technique, termed StreetSurf, that is readily applicable to street view images in widely-used autonomous driving datasets, such as Waymo-perception sequences, without necessarily…

Computer Vision and Pattern Recognition · Computer Science 2023-06-09 Jianfei Guo , Nianchen Deng , Xinyang Li , Yeqi Bai , Botian Shi , Chiyu Wang , Chenjing Ding , Dongliang Wang , Yikang Li
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