Search Results - Polynomial and rational function modeling

Modeling Corneal Surfaces With Rational Functions for High-Speed Videokeratoscopy Data Compression by Schneider, Martin, Iskander, D. Robert, Collins, Michael J.

“… performance, we introduced the concept of Zernike polynomial-based rational functions. Modeling optimality criteria were employed in terms of both the…”
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The estimation of diffuse solar radiation on tilted surface using created new approaches with rational function modeling by Emeksiz, Cem

“…In this study, polynomial function modeling and rational function modeling were used to create three new models for the estimation of diffuse solar radiation on a tilted surface, which is the…”
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Response surfaces, desirabilities and rational functions in optimizing sugar production by Taavitsainen, Veli-Matti, Lehtovaara, Anssi, Lähteenmäki, Mira

“… This case study of optimizing full‐scale sugar production will show how desirability functions were successfully used in response surface modeling (RSM)‐based optimization…”
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Bias Compensation for Rational Polynomial Coefficients of High-Resolution Satellite Imagery by Local Polynomial Modeling by Shen, Xiang, Li, Qingquan, Wu, Guofeng, Zhu, Jiasong

“…The Rational Function Model (RFM) is a widely used generic sensor model for georeferencing satellite images…”
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Frequency Response Function Measurements via Local Rational Modeling, Revisited by Pintelon, Rik, Peumans, Dries, Vandersteen, Gerd, Lataire, John

“…) errors in nonparametric frequency response function (FRF) estimation. If the FRF varies significantly over the frequency resolution of the experiment…”
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Advances in hybrid format‐based neuro‐transfer function techniques for parametric modeling of microwave components by Ma, Li, Zhang, Qi‐Jun, Liu, Wei, Zhang, Jianan

“… This paper outlines recent advances in hybrid format‐based neuro‐transfer function (TF) techniques for EM parametric modeling of microwave devices…”
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Recurrent rational fractal modeling by Reddy, K. Mahipal, Rajesh, L.

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Rational Polynomial Chaos Expansions for the Stochastic Macromodeling of Network Responses by Manfredi, Paolo, Grivet-Talocia, Stefano

“…This paper introduces rational polynomial chaos expansions for the stochastic modeling of the frequency-domain responses of linear electrical networks…”
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Sparse Estimation of Polynomial and Rational Dynamical Models by Rojas, Cristian R., Toth, Roland, Hjalmarsson, Hakan

“…In many practical situations, it is highly desirable to estimate an accurate mathematical model of a real system using as few parameters as possible. At the…”
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On modeling for Kerr black holes: Basis learning, QNM frequencies, and spherical-spheroidal mixing coefficients by London, L, Fauchon-Jones, E

“…) regression method for the automated modeling of polynomial and rational functions respectively…”
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Rational Polynomial Coefficients Modeling and Bias Correction by Using Iterative Polynomial Augmentation by Dubey, Bhaskar, Kartikeyan, B., Subbiah, Manthira Moorthi

“…In this article, we establish an update procedure for rapid positioning coefficients or rational polynomial coefficients (RPCs…”
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Spatially Dispersive Metasurfaces—Part III: Zero-Thickness Modeling of Periodic and Finite Nonuniform Surfaces by Dugan, Jordan, Rahmeier, João Guilherme Nizer, Smy, Tom J., Gupta, Shulabh

“… This is an extension of Nizer Rahmeier et al. (2022) and Smy et al. (2022), which proposed a method of modeling uniform SD metasurfaces by expressing their surface susceptibilities as rational polynomial functions in the spatial frequency domain…”
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Direct Least-Squares Rational-Polynomial Lumped-Circuit Model Extraction and Group Theory by Rautio, James C.

“…Given a measured frequency domain response, it is useful to determine the best fit rational polynomial transfer function and then synthesize a corresponding lumped network…”
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Polynomial Sequences and Their Applications

“… “Polynomial Sequences and Their Applications” of the MDPI journal Mathematics. This reprint aims to present, albeit partially, the state of the art on the theory and application of polynomial sequences…”
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Algebraic Certificates of (Semi)Definiteness for Polynomials Over Fields Containing the Rationals by Menini, Laura, Possieri, Corrado, Tornambe, Antonio

“…Sum of squares (SOS) decompositions for positive semidefinite polynomials are usually computed numerically, using convex optimization solvers…”
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Variability Analysis of Multiport Systems Via Polynomial-Chaos Expansion by Spina, D., Ferranti, F., Dhaene, T., Knockaert, L., Antonini, G., Vande Ginste, Dries

“…, interconnections, filters, connectors). The proposed method, based on the calculation of a set of univariate macromodels and on the use of the polynomial chaos expansion, produces a macromodel of the transfer function of the multiport…”
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Rational Bézier Guarding by Khanteimouri, P., Mandad, M., Campen, M.

“… The elements are guaranteed to be valid, i.e. defined by injective rational functions. The mesh is guaranteed to conform exactly, without geometric error, to arbitrary rational domain boundary and feature curves…”
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Comparison of polynomial and rational function cornea models for effective dimensionality reduction by Bouazizi, Hala, Brunette, Isabelle, Meunier, Jean

“…) like Zernike polynomials (ZP) and spherical harmonic polynomials (SHP) were obvious candidates along with their rational function (R…”
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Computing the reciprocal of a ϕ-function by rational approximation by Boito, Paola, Eidelman, Yuli, Gemignani, Luca

“… Numerical examples highlight the benefits of the proposed rational approximations w.r.t. the classical Taylor polynomials and other rational functions…”
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Modeling epidemic growth curves using nonlinear rational polynomial equations: an application to Brazil's COVID-19 data by De Oliveira, Ricardo Puziol, Achcar, Jorge Alberto, Bertoli, Wesley, Mazucheli, Josmar, Miranda, Yara Campos

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