Constructing Artistic Surface Modeling Design Based on Nonlinear Over-limit Interpolation Equation

The digital and physical methods of establishing minimal curved surfaces are the basis for realizing the design of the minimal curved surface modeling structure. Based on this research background, the paper showed an artistic surface modeling method based on nonlinear over-limit difference equations...

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Main Authors: Cheng Tan, Alassafi Madini O., Muwafak Bishr Muhamed
Format: Article
Language:English
Published: Sciendo 2021-07-01
Series:Applied Mathematics and Nonlinear Sciences
Subjects:
Online Access:https://doi.org/10.2478/amns.2021.2.00025
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author Cheng Tan
Alassafi Madini O.
Muwafak Bishr Muhamed
author_facet Cheng Tan
Alassafi Madini O.
Muwafak Bishr Muhamed
author_sort Cheng Tan
collection DOAJ
description The digital and physical methods of establishing minimal curved surfaces are the basis for realizing the design of the minimal curved surface modeling structure. Based on this research background, the paper showed an artistic surface modeling method based on nonlinear over-limit difference equations. The article combines parameter optimization and 3D modeling methods to model the constructed surface modeling. The research found that the nonlinear out-of-limit difference equation proposed in the paper is more accurate than the standard fractional differential equation algorithm. For this reason, the method can be extended and applied to the design of artistic surface modeling.
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spelling doaj.art-619fc70e48f2425193145a42b02d9f0d2023-06-19T05:54:31ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562021-07-017118319010.2478/amns.2021.2.00025Constructing Artistic Surface Modeling Design Based on Nonlinear Over-limit Interpolation EquationCheng Tan0Alassafi Madini O.1Muwafak Bishr Muhamed2School of Art, Hubei University, Wuhan430070, ChinaInformation Technology Department, Faculty of Computing and Information Technology, Jeddah, Saudi ArabiaDepartment of Accounting and Finace, Faculty of Administrative Sciences, Applied Science University, Al Eker, Kingdom of BahrainThe digital and physical methods of establishing minimal curved surfaces are the basis for realizing the design of the minimal curved surface modeling structure. Based on this research background, the paper showed an artistic surface modeling method based on nonlinear over-limit difference equations. The article combines parameter optimization and 3D modeling methods to model the constructed surface modeling. The research found that the nonlinear out-of-limit difference equation proposed in the paper is more accurate than the standard fractional differential equation algorithm. For this reason, the method can be extended and applied to the design of artistic surface modeling.https://doi.org/10.2478/amns.2021.2.00025nonlinear over-limit interpolation equationartistic surface modelinghash data interpolationparameter optimizationmodeling41a05
spellingShingle Cheng Tan
Alassafi Madini O.
Muwafak Bishr Muhamed
Constructing Artistic Surface Modeling Design Based on Nonlinear Over-limit Interpolation Equation
Applied Mathematics and Nonlinear Sciences
nonlinear over-limit interpolation equation
artistic surface modeling
hash data interpolation
parameter optimization
modeling
41a05
title Constructing Artistic Surface Modeling Design Based on Nonlinear Over-limit Interpolation Equation
title_full Constructing Artistic Surface Modeling Design Based on Nonlinear Over-limit Interpolation Equation
title_fullStr Constructing Artistic Surface Modeling Design Based on Nonlinear Over-limit Interpolation Equation
title_full_unstemmed Constructing Artistic Surface Modeling Design Based on Nonlinear Over-limit Interpolation Equation
title_short Constructing Artistic Surface Modeling Design Based on Nonlinear Over-limit Interpolation Equation
title_sort constructing artistic surface modeling design based on nonlinear over limit interpolation equation
topic nonlinear over-limit interpolation equation
artistic surface modeling
hash data interpolation
parameter optimization
modeling
41a05
url https://doi.org/10.2478/amns.2021.2.00025
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AT alassafimadinio constructingartisticsurfacemodelingdesignbasedonnonlinearoverlimitinterpolationequation
AT muwafakbishrmuhamed constructingartisticsurfacemodelingdesignbasedonnonlinearoverlimitinterpolationequation