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Distortion is widely existed in the images captured by popular wide-angle cameras and fisheye cameras. Despite the long history of distortion rectification, accurately estimating the distortion parameters from a single distorted image is…

计算机视觉与模式识别 · 计算机科学 2024-04-30 Kang Liao , Chunyu Lin , Yao Zhao

We consider the coupled system of equations that describe flow in fractured porous media. To describe such types of problems, multicontinuum and multiscale approaches are used. Because in multicontinuum models, the permeability of each…

数值分析 · 数学 2023-05-31 Maria Vasilyeva

The aim of this study is to compare numerical methods for the simulation of single-phase flow and transport in fractured media, described here by means of the Discrete Fracture Network (DFN) model. A Darcy problem is solved to compute the…

数值分析 · 数学 2019-07-30 Andrea Borio , Alessio Fumagalli , Stefano Scialò

Flow in fractured porous media is of high relevance in a variety of geotechnical applications, given the fact that they ubiquitously occur in nature and that they can have a substantial impact on the hydraulic properties of rock. As a…

数值分析 · 数学 2020-12-03 Dennis Gläser , Martin Schneider , Bernd Flemisch , Rainer Helmig

In this paper we consider parameter estimation for discretely observed diffusion processes. In particular, we focus on data that are observed at low frequency and methodology that can estimate parameters with uncertainty quantification.…

统计计算 · 统计学 2026-05-01 Jingning Yao , Ajay Jasra , Sheng Jiang

This paper explores the reconstruction of a space-dependent parameter in inverse diffusion problems, proposing a shape-optimization-based approach. We consider a Robin boundary condition, physically motivated in diffuse optical tomography…

数值分析 · 数学 2026-01-27 Manabu Machida , Hirofumi Notsu , Julius Fergy Tiongson Rabago

We present a novel method for estimation of the fiber orientation distribution (FOD) function based on diffusion-weighted Magnetic Resonance Imaging (D-MRI) data. We formulate the problem of FOD estimation as a regression problem through…

应用统计 · 统计学 2016-12-23 Hao Yan , Owen Carmichael , Debashis Paul , Jie Peng

Parameter estimation is one of the most important tasks in statistics, and is key to helping people understand the distribution behind a sample of observations. Traditionally parameter estimation is done either by closed-form solutions…

机器学习 · 计算机科学 2024-03-04 Xiaoxin Yin , David S. Yin

In this paper a problem of numerical simulation of hydraulic fractures is considered. An efficient algorithm of solution is proposed for the plain strain model of hydraulic fracturing. The algorithm utilizes a FEM based subroutine to…

数学物理 · 物理学 2022-05-26 Michal Wrobel , Panos Papanastasiou , Daniel Peck

In the past several years, convolutional neural networks (CNNs) have proven their capability to predict characteristic quantities in porous media research directly from pore-space geometries. Due to the frequently observed significant…

计算物理 · 物理学 2022-08-09 Stephan Gärttner , Florian Frank , Fabian Woller , Andreas Meier , Nadja Ray

This work proposes the development and study of a novel technique for the generation of fractal descriptors used in texture analysis. The novel descriptors are obtained from a multiscale transform applied to the Fourier technique of fractal…

数据分析、统计与概率 · 物理学 2012-01-24 João Batista Florindo , Odemir Martinez Bruno

A singularly perturbed parabolic problem of convection-diffusion type with a discontinuous initial condition is examined. A particular complimentary error function is identified which matches the discontinuity in the initial condition. The…

数值分析 · 数学 2022-02-09 Jose Luis Gracia , Eugene O'Riordan

We consider a poroelastic medium with a thin heterogeneity, also referred to as a fracture. Fluid flow and mechanical deformation inside both bulk and fracture are governed by the quasi-static Biot equations. The fracture's material…

偏微分方程分析 · 数学 2025-12-05 Maximilian Hörl , Kundan Kumar , Christian Rohde

Fractures are widely developed in hydrocarbon reservoirs and constitute the accumulation spaces and transport channels of oil and gas. Fracture detection is a fundamental task for reservoir characterization. From prestack seismic gathers,…

地球物理 · 物理学 2021-07-06 Zhenyu Yuan , Yuxin Jiang , Jingjing Li , Handong Huang

Fractured surfaces carry unique details that can provide an accurate quantitative comparison to support comparative forensic analysis of those fractured surfaces. In this study, a statistical analysis comparison protocol was applied to a…

Recent work showed that large diffusion models can be reused as highly precise monocular depth estimators by casting depth estimation as an image-conditional image generation task. While the proposed model achieved state-of-the-art results,…

计算机视觉与模式识别 · 计算机科学 2026-01-23 Gonzalo Martin Garcia , Karim Knaebel , Christian Schmidt , Daan de Geus , Alexander Hermans , Bastian Leibe

This paper proposes the use of a Spectral method to simulate diffusive moisture transfer through porous materials as a Reduced-Order Model (ROM). The Spectral approach is an a priori method assuming a separated representation of the…

计算物理 · 物理学 2020-02-20 Suelen Gasparin , Julien Berger , Denys Dutykh , Nathan Mendes

We present a hybrid-mixed finite element method for a novel hybrid-dimensional model of single-phase Darcy flow in a fractured porous media. In this model, the fracture is treated as an $(d-1)$-dimensional interface within the…

数值分析 · 数学 2022-03-02 Guosheng Fu , Yang Yang

The interaction of a protein with its environment can be understood and controlled via its 3D structure. Experimental methods for protein structure determination, such as X-ray crystallography or cryogenic electron microscopy, shed light on…

机器学习 · 计算机科学 2025-04-24 Axel Levy , Eric R. Chan , Sara Fridovich-Keil , Frédéric Poitevin , Ellen D. Zhong , Gordon Wetzstein

We present an alternative numerical reconstruction algorithm for direct tomographic reconstruction of a sample refractive indices from the measured intensities of its far-field coherent diffraction patterns. We formulate the well-known…

计算物理 · 物理学 2019-02-06 T. Ramos , Bastian E. Grønager , Martin Skovgaard Andersen , J. W. Andreasen