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...
Main Authors: | , , |
---|---|
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 |
_version_ | 1797800839295795200 |
---|---|
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. |
first_indexed | 2024-03-13T04:41:20Z |
format | Article |
id | doaj.art-619fc70e48f2425193145a42b02d9f0d |
institution | Directory Open Access Journal |
issn | 2444-8656 |
language | English |
last_indexed | 2024-03-13T04:41:20Z |
publishDate | 2021-07-01 |
publisher | Sciendo |
record_format | Article |
series | Applied Mathematics and Nonlinear Sciences |
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 |
work_keys_str_mv | AT chengtan constructingartisticsurfacemodelingdesignbasedonnonlinearoverlimitinterpolationequation AT alassafimadinio constructingartisticsurfacemodelingdesignbasedonnonlinearoverlimitinterpolationequation AT muwafakbishrmuhamed constructingartisticsurfacemodelingdesignbasedonnonlinearoverlimitinterpolationequation |