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When measuring the roughness of rough surfaces, the limited sizes of scanned areas lead to its systematic underestimation. Levelling by polynomials and other filtering used in real-world processing of atomic force microscopy data increases…

数据分析、统计与概率 · 物理学 2020-04-28 David Nečas , Petr Klapetek , Miroslav Valtr

We used numerical simulations based on the finite element method (FEM) to calculate both the amplitude and phase information of the scattered electric field from random rough surfaces, which can be directly compared to ellipsometric…

计算物理 · 物理学 2019-02-27 B. Fodor , P. Kozma , S. Burger , M. Fried , P. Petrik

Terrain surface roughness, often described abstractly, poses challenges in quantitative characterisation with various descriptors found in the literature. This study compares five commonly used roughness descriptors, exploring correlations…

计算机视觉与模式识别 · 计算机科学 2024-03-15 Lei Fan , Yang Zhao

This paper concerns a high-dimensional stochastic programming problem of minimizing a function of expected cost with a matrix argument. To this problem, one of the most widely applied solution paradigms is the sample average approximation…

最优化与控制 · 数学 2019-07-22 Hongcheng Liu , Charles Hernandez , Hung Yi Lee

For extremely large telescopes, adaptive optics will be required to correct the Earth's turbulent atmosphere. The performance of tomographic adaptive optics is strongly dependent on the vertical distribution (profile) of this turbulence. An…

天体物理仪器与方法 · 物理学 2019-06-26 O. J. D. Farley , J. Osborn , T. Morris , T. Fusco , B. Neichel , C. Correia , R. W. Wilson

Disease mapping attempts to explain observed health event counts across areal units, typically using Markov random field models. These models rely on spatial priors to account for variation in raw relative risk or rate estimates. Spatial…

统计方法学 · 统计学 2025-10-03 Garazi Retegui , Alan E. Gelfand , Jaione Etxeberria , María Dolores Ugarte

We report direct numerical simulation (DNS) results of the rough-wall channel, focusing on roughness with high $k_{rms}/k_a$ statistics but small to negative $Sk$ statistics, and we study the implications of this new dataset on rough-wall…

流体动力学 · 物理学 2024-09-11 Shyam S. Nair , Vishal A. Wadhai , Robert F. Kunz , Xiang I. A. Yang

Terrain surface roughness is an abstract concept, and its quantitative description is often vague. As such, there are various roughness indices used in the literature, the selection of which is often challenging in applications. This study…

数值分析 · 数学 2023-01-09 Lei Fan

Among other remote sensing technologies, synthetic aperture radar (SAR) has become firmly established in the practice of oceanographic research. Despite solid experience in this field, comprehensive knowledge and interpretation of ocean/sea…

大气与海洋物理 · 物理学 2022-01-26 Igor G. Rizaev , Oktay Karakus , S. John Hogan , Alin Achim

The failure of roughness parameters to predict surface properties stems from their inherent scale-dependence; in other words, the measured value depends on the way it was measured. Here we take advantage of this scale-dependence to develop…

Many wind wave spectrum models provide excellent wave height prediction given the input of wind speed and wave age. Their quantification of the surface roughness, on the other hand, varies considerably. The ocean surface roughness is…

地球物理 · 物理学 2022-09-14 Paul A. Hwang

As the continuation of the contour mean calculation - designed for averaging the manual delineations of 3D layer stack images - in this paper, the most important equations: a) the reparameterization equations to determine the minimizing…

度量几何 · 数学 2019-08-01 Jozsef Molnar , Peter Horvath

Material extrusion is one of the most commonly used approaches within the additive manufacturing processes available. Despite its popularity and related technical advancements, process reliability and quality assurance remain only partially…

Surface roughness influences turbulent boundary layers (TBLs) primarily through the roughness function $\Delta U^+$ and the equivalent sand-grain roughness height \(k_s\). Direct determination of \(k_s\) typically requires detailed velocity…

The pore-solid interface and its characteristics play a key role in chemical interactions between minerals in the solid soil matrix and the liquid in pore space and, consequently, solute transport in soils. Specific surface area (SSA),…

地球物理 · 物理学 2021-02-19 Behzad Ghanbarian , Allen G. Hunt , Marco Bittelli , Markus Tuller , Emmanuel Arthur

We consider stochastic optimization problems which use observed data to estimate essential characteristics of the random quantities involved. Sample average approximation (SAA) or empirical (plug-in) estimation are very popular ways to use…

统计理论 · 数学 2021-03-16 Darinka Dentcheva , Yang Lin

In this paper we analyze several strategies for the estimation of the roughness parameter of the $\mathcal G_I^0$ distribution. It has been shown that this distribution is able to characterize a large number of targets in monopolarized SAR…

信息论 · 计算机科学 2016-11-17 Juliana Gambini , Julia Cassetti , María Magdalena Lucini , Alejandro C. Frery

The difference of a city's artificial land use (ALU) radial profile to the average ALU profile is examined for 585 European cities. Using Urban Atlas 2012 data, a radial (or monocentric) approach is used to calculate a city's land use…

物理与社会 · 物理学 2022-10-25 Paul Kilgarriff , Remi Lemoy , Geoffrey Caruso

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…

计算机视觉与模式识别 · 计算机科学 2022-09-20 Saed Moradi , Alireza Memarmoghadam , Denis Laurendeau

Surface roughness is an important quantity to many engineering and precision manufacturing disciplines. In this paper we investigate the problem of estimating the root-mean-square roughness of a sample by passive linear optical methods. By…

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