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In the present work we show that the correct determination of surface morphology using Scanning Force Microscopy (SFM) imaging and Power Spectral Density (PSD) analysis of the surface roughness is an extremely demanding task that is easily…

Surface topography refers to the geometric micro-structure of a surface and defines its tactile characteristics (typically in the sub-millimeter range). High-resolution 3D scanning techniques developed recently enable the 3D reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2015-05-07 Matthias Zeppelzauer , Markus Seidl

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…

Materials Science · Physics 2021-12-14 Antoine Sanner , Wolfram G. Nöhring , Luke A. Thimons , Tevis D. B. Jacobs , Lars Pastewka

There is a growing interest in new sensing technologies and processing algorithms to increase the level of driving automation towards self-driving vehicles. The challenge for autonomy is especially difficult for the negotiation of uncharted…

Systems and Control · Electrical Eng. & Systems 2019-10-15 Giulio Reina , Antonio Leanza , Annalisa Milella , Arcangelo Messina

Power spectral density (PSD) maps providing the distribution of RF power across space and frequency are constructed using power measurements collected by a network of low-cost sensors. By introducing linear compression and quantization to a…

Information Theory · Computer Science 2017-04-05 Daniel Romero , Seung-Jun Kim , Georgios B. Giannakis , Roberto Lopez-Valcarce

Surface roughness has a huge impact on many important phenomena. The most important property of rough surfaces is the surface roughness power spectrum C(q). We present surface roughness power spectra of many surfaces of practical…

Materials Science · Physics 2007-05-23 B. N. J. Persson , O. Albohr , U. Tartaglino , A. I. Volokitin , E. Tosatti

The power spectral density (PSD) function is commonly used to specify seismometer performance. It is derived from the FFT of acceleration and correction is made for the transfer function of the instrument that generated the data. As with…

Geophysics · Physics 2007-05-23 Randall D. Peters

Analytical contact mechanics theories depend on surface roughness through the surface roughness power spectrum. In the present study, we evaluated the usability of various experimental methods for studying surface roughness. Our findings…

Materials Science · Physics 2024-08-13 N. Rodriguez , L. Gontard , C. Ma , R. Xu , B. N. J. Persson

The surface topography of diamond coatings strongly affects surface properties such as adhesion, friction, wear, and biocompatibility. However, the understanding of multi-scale topography, and its effect on properties, has been hindered by…

We investigate topological descriptors for 3D surface analysis, i.e. the classification of surfaces according to their geometric fine structure. On a dataset of high-resolution 3D surface reconstructions we compute persistence diagrams for…

Computer Vision and Pattern Recognition · Computer Science 2016-01-25 Matthias Zeppelzauer , Bartosz Zieliński , Mateusz Juda , Markus Seidl

Methods from computational topology are becoming more and more popular in computer vision and have shown to improve the state-of-the-art in several tasks. In this paper, we investigate the applicability of topological descriptors in the…

Computer Vision and Pattern Recognition · Computer Science 2017-10-31 Matthias Zeppelzauer , Bartosz Zielinski , Mateusz Juda , Markus Seidl

This paper introduces a new conceptual framework that recasts surface roughness effects as a "ray deflection function" (RDF) which can be statistically represented through a modified Zernike-Fourier hybrid approach that directly connects…

Optics · Physics 2025-08-12 Netzer Moriya

Surface fractal dimension Ds is a quantity describing the roughness of pore-solid interface where all interactions between solid matrix and fluid in the pore space occur. Ds also quantifies surface area; the higher the surface fractal…

Geophysics · Physics 2019-09-23 Behzad Ghanbarian

In this paper, we propose a convex optimization-based estimation of sparse and smooth power spectral densities (PSDs) of complex-valued random processes from mixtures of realizations. While the PSDs are related to the magnitude of the…

Signal Processing · Electrical Eng. & Systems 2024-01-23 Hiroki Kuroda , Daichi Kitahara , Eiichi Yoshikawa , Hiroshi Kikuchi , Tomoo Ushio

State-of-the-art methods for quantifying wear in cylinder liners of large internal combustion engines require disassembly and cutting of the liner. This is followed by laboratory-based high-resolution microscopic surface depth measurement…

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…

In many areas of applied statistics and machine learning, generating an arbitrary number of independent and identically distributed (i.i.d.) samples from a given distribution is a key task. When the distribution is known only through…

Artificial Intelligence · Computer Science 2021-10-29 Ulysse Marteau-Ferey , Francis Bach , Alessandro Rudi

Surveillance and surveying are two important applications of empirical research. A major part of terrain modelling is supported by photographic surveys which are used for capturing expansive natural surfaces using a wide range of sensors --…

Image and Video Processing · Electrical Eng. & Systems 2023-05-16 Maniratnam Mandal , Venkatesh K. Subramanian

Understanding structure-function relationships is essential to advance the manufacturing of next-gen materials with desired properties and functionalities. Precise and rapid measurement of features like wrinkle size, droplet diameter, and…

Applied Physics · Physics 2025-05-08 André Guerra , Ziheng Wang , Samuel Mathews , Alejandro D. Rey , Kevin De France

The quantitative characterization of the microstructure of random heterogeneous media in $d$-dimensional Euclidean space $\mathbb{R}^d$ via a variety of $n$-point correlation functions is of great importance, since the respective infinite…

Soft Condensed Matter · Physics 2018-08-07 Zheng Ma , Salvatore Torquato
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