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In this article we present a new class of high order accurate Arbitrary-Eulerian-Lagrangian (ALE) one-step WENO finite volume schemes for solving nonlinear hyperbolic systems of conservation laws on moving two dimensional unstructured…

Numerical Analysis · Mathematics 2016-08-24 Walter Boscheri , Michael Dumbser

In this paper we present a new family of high order accurate Arbitrary-Lagrangian-Eulerian (ALE) one-step ADER-WENO finite volume schemes for the solution of nonlinear systems of conservative and non-conservative hyperbolic partial…

Numerical Analysis · Mathematics 2015-06-18 Walter Boscheri , Michael Dumbser

The three-dimensional Time-Resolved Lagrangian Particle Tracking (3D TR-LPT) technique has recently advanced flow diagnostics by providing high spatiotemporal resolution measurements under the Lagrangian framework. To fully exploit its…

Fluid Dynamics · Physics 2023-08-21 Lanyu Li , Zhao Pan

In this paper, we propose several mathematical models for 3D surface reconstruction and volume estimation from a set of scattered cloud data. Three meshless methods including the interpolation-based method by RBF, PDE-based approach by…

Numerical Analysis · Mathematics 2025-03-12 T. Li , M. Lei , James Snead , C. S. Chen

We present a novel method for reconstructing parametric, volumetric, multi-story building models from unstructured, unfiltered indoor point clouds by means of solving an integer linear optimization problem. Our approach overcomes…

Graphics · Computer Science 2019-07-02 Sebastian Ochmann , Richard Vock , Reinhard Klein

This paper proposes a particle volume reconstruction directly from an in-line hologram using a deep neural network. Digital holographic volume reconstruction conventionally uses multiple diffraction calculations to obtain sectional…

Image and Video Processing · Electrical Eng. & Systems 2019-03-27 Tomoyoshi Shimobaba , Takayuki Takahashi , Yota Yamamoto , Yutaka Endo , Atsushi Shiraki , Takashi Nishitsuji , Naoto Hoshikawa , Takashi Kakue , Tomoyosh Ito

A time-fractional Allen-Cahn equation with volume constraint is first proposed by introducing a nonlocal time-dependent Lagrange multiplier. Adaptive linear second-order energy stable schemes are developed for the proposed model by…

Numerical Analysis · Mathematics 2020-12-23 Bingquan Ji , Hong-lin Liao , Yuezheng Gong , Luming Zhang

We propose a variational functional and fast algorithms to reconstruct implicit surface from point cloud data with a curvature constraint. The minimizing functional balances the distance function from the point cloud and the mean curvature…

Computer Vision and Pattern Recognition · Computer Science 2020-09-11 Yuchen He , Sung Ha Kang , Hao Liu

Three-dimensional particle reconstruction with limited two-dimensional projections is an under-determined inverse problem that the exact solution is often difficult to be obtained. In general, approximate solutions can be obtained by…

Image and Video Processing · Electrical Eng. & Systems 2021-09-14 Qi Gao , Shaowu Pan , Hongping Wang , Runjie Wei , Jinjun Wang

In the present study, the multiphase volume distribution problem, where there can be an arbitrary number of phases, is addressed using a consistent and conservative volume distribution algorithm. The proposed algorithm satisfies the…

Computational Physics · Physics 2021-06-24 Ziyang Huang , Guang Lin , Arezoo M. Ardekani

In this paper we use the genuinely multidimensional HLL Riemann solvers recently developed by Balsara et al. to construct a new class of computationally efficient high order Lagrangian ADER-WENO one-step ALE finite volume schemes on…

Numerical Analysis · Mathematics 2015-06-18 Walter Boscheri , Dinshaw S. Balsara , Michael Dumbser

We introduce a novel learning-based, visibility-aware, surface reconstruction method for large-scale, defect-laden point clouds. Our approach can cope with the scale and variety of point cloud defects encountered in real-life Multi-View…

Computer Vision and Pattern Recognition · Computer Science 2022-02-03 Raphael Sulzer , Loic Landrieu , Renaud Marlet , Bruno Vallet

We develop a hybrid GNN-CNN architecture for the reconstruction of 3-dimensional continuous cosmological matter fields from discrete point clouds, provided by observed galaxy catalogs. Using the CAMELS hydrodynamical cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-06 Yurii Kvasiuk , Jordan Krywonos , Matthew C. Johnson , Moritz Münchmeyer

We present a high-order space-time discretization equipped with fully-discrete entropy stability properties for general choices of volume and surface quadrature rules. The formulation uses flux reconstruction (FR) in the spatial dimension…

Numerical Analysis · Mathematics 2026-04-23 Carolyn M. V. Pethrick , Siva Nadarajah

6D object pose estimation for unseen objects is essential in robotics but traditionally relies on trained models that require large datasets, high computational costs, and struggle to generalize. Zero-shot approaches eliminate the need for…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Melvin Reka , Tessa Pulli , Markus Vincze

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

Volumetric phenomena, such as clouds and fog, present a significant challenge for 3D reconstruction systems due to their translucent nature and their complex interactions with light. Conventional techniques for reconstructing scattering…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Jacob Lin , Miguel Farinha , Edward Gryspeerdt , Ronald Clark

The accurate characterisation of the 3D deformations of slender fibres and thin sheets in flow, is a key experimental challenge in the study of particle-laden flows. We propose a high-resolution, single-camera method to visualise…

Fluid Dynamics · Physics 2026-03-18 Tymoteusz Miara , Draga Pihler-Puzović , Matthias Heil , Anne Juel

Limited-angle tomography of strongly scattering quasi-transparent objects is a challenging, highly ill-posed problem with practical implications in medical and biological imaging, manufacturing, automation, and environmental and food…

Image and Video Processing · Electrical Eng. & Systems 2024-08-15 Iksung Kang , Alexandre Goy , George Barbastathis

Electron tomography is a technique used in both materials science and structural biology to image features well below optical resolution limit. In this work, we present a new algorithm for reconstructing the three-dimensional(3D)…

Signal Processing · Electrical Eng. & Systems 2018-07-12 David Ren , Michael Chen , Laura Waller , Colin Ophus
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