Analytical Chemistry · 1994
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTSuccessful surface fittingCite this: Anal. Chem. 1994, 66, 18, 924A–925APublication Date (Print):September 15, 1994Publication History Published online6 June 2012Published inissue 15 September 1994https://doi.org/10.1021/ac00090a727RIGHTS & PERMISSIONSArticle Views328Altmetric-Citations-LEARN ABOUT THESE METRICSArticle Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated. Share Add toView InAdd Full Text with ReferenceAdd Description ExportRISCitationCitation and abstractCitation and referencesMore Options Share onFacebookTwitterWechatLinked InReddit PDF (2 MB) Get e-Alerts Get e-Alerts
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Lan Luo (191328), Li Hou (460220), Qi Zhang (28502) et al. · Figshare · 2021
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Hongqi Wang (2208238), Dongwei Li (1538815), Zecheng Wang (13111866) et al. · Figshare · 2024
<div><p>This paper delves into the engineering applications of lime-stabilized red clay, a highly water-sensitive material, particularly in the context of the climatic conditions prevalent in the Dalian region. We systematically investigate the impact of water content, dry density, and freeze-thaw cycles (with a freezing temperature set at -10°C) on the thermal conductivity of stabilized soil, a crucial parameter for analyzing soil temperature fields that is influenced by numerous factors. By developing and validating both empirical and machine learning prediction models, we unravel the evolution of thermal conductivity in response to these factors: within the range of influencing variables, thermal conductivity exhibits an exponential or linear increase with rising water content and dry density, while it decreases exponentially with increasing freeze-thaw cycles. Furthermore, we quantitatively analyze the specific influence of water content and other factors on the thermal conductivity of stabilized soil and construct a comprehensive prediction model encompassing BP neural network, gradient boosting decision tree, and linear regression models. Comparative analysis highlights the significant enhancement in prediction accuracy achieved by the proposed ensemble model over single machine learning models, with root mean square error (RMSE) values below 0.05 and mean absolute percentage error (MAPE) values remaining under 2.5% in both frozen and unfrozen states. Additionally, a secondary validation using experimental data from other researchers confirms the model’s good agreement with previous results, demonstrating its robust generalization ability. Our findings provide valuable insights for engineering studies in the Dalian region and red clay areas subjected to extreme climatic conditions.</p></div>
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Chandra Verma, Rajesh Purohit, Koyel Datta Gupta et al. · 2024
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Theo Pavlidis · 1982
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Tsuneya Kurihara, Natsuki Miyata · 2003
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Seok-Hyung Bae · 2001
Constructing a CAD model from a physical model plays a key role in some product-development processes. To be presented is an “indirect” method of fitting NURBS-surfaces for rotational-freeform shapes: 1) Cloud-of-points data representing a rotational-freeform shape are transformed into an orthogonal-coordinate (spherical- or cylindrical-) system, 2) a single-valued B-spline surface is fitted to the transformed data, and 3) the resulting B-spline surface is converted to a 3D NURBS-surface by applying a symbolic-product operation with a quadratic NURBS base-geometry. Compared to the existing “direct ” fitting methods, the proposed method has some distinctive advantages: It provides a natural means to parameterization, enables to recover “exact ” NURBS geometry when the cloud-of-points data represent a “true ” surface-of-revolution, and allows an easy point-membership classification for NURBS-bounded solid objects. By combining with a “robust ” local-coordinate system estimation method based on the general-quadric surface approximation for cloud-of-point data “arbitrarily ” located in 3D space, the proposed method was successfully embedded to a research-purposed reverse engineering software, as one component of the surface fitting engine. In consequence, reverse engineering process becomes more
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V. Weiß, László Andor, Gábor Renner et al. · Computer Aided Geometric Design · 2002
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Alan Oxley · The Computer Journal · 1985
This paper refers to an algorithm developed by Lewis and Robinson1. It highlights areas of the algorithm which need further study, but describes how, in the meantime, these areas have been handled for one application. Furthermore, a description is given of how the scope of the algorithm has been extended.
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Peter Lancaster · 1986
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John Lawson, John Erjavec · 2016
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Les A. Piegl, Wayne Tiller · Monographs in visual communication · 1995
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Laurent, Pierre Jean, Le Méhauté, Alain, Schumaker, Larry L · CERN Document Server (European Organization for Nuclear Research) · 1994
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MEHAUTE Alain Le · Université Virtuelle de Côte d'Ivoire · 1997
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G. Mullineaux · Computer-Aided Design · 1984
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Cox, M.G, National Physical Lab. (NPL), Teddington (United Kingdom). Div. of Information Technology and Computing · OpenGrey (Institut de l'Information Scientifique et Technique) · 1986
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Bo, P, Wang, WP, Liu, Y · The HKU Scholars Hub (University of Hong Kong) · 2011
We consider the problem of fitting a cyclide spline surface to a free-form target surface. It is shown that, by using a global optimization scheme with relaxed corner points and corner frames of cyclide patches, we can fit a free form surface by a G1 spline surface composed of cyclide patches. T- joints are allowed for adaptive approximation and spherical patches are included in the cyclide spline to fill in singular regions around the umblic points of the underlying target surface.
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Sara Maad, Clyde F. Martin, Thomas Strömberg et al. · 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) · 2004
The problem of fitting surfaces to data is a well studied problem in statistics. However when there is prior information the theory is not developed. It often happens in toxicology and in medicine that the effect of a single drug is well understood.. However if a pair of drugs is delivered in tandem or if two toxins are interacting the effect is not understood. In this paper we attack the problem of fitting a surface to a data set contained in a square when two of the boundaries are known. Our approach generalizes the concept of smoothing splines.
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Pengbo Bo, Yang Liu, Changhe Tu et al. · Computer Aided Geometric Design · 2016
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Ford, C. P., III, Dejarnette, F. R. · NASA STI Repository (National Aeronautics and Space Administration)
The geometry of general three-dimensional bodies was generated from coordinates of points in several cross sections. Since these points may not be on smooth curves, they are divided into groups forming segments and general conic sections are curve fit in a least-squares sense to each segment of a cross section. The conic sections are then blended in the longitudinal direction through longitudinal curves. Both the cross-sectional and longitudinal curves may be modified by specifying particular segments as straight lines or specifying slopes at selected points. This method was used to surface fit a 70 deg slab delta wing and the HL-10 Lifting Body. The results for the delta wing were very close to the exact geometry. Although there is no exact solution for the lifting body, the surface fit generated a smooth surface with cross-sectional planes very close to prescribed coordinate points.
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