<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

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

Department of Accounting and Finace, Faculty of Administrative Sciences

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

The digital and physical methods of establishing minimal curved surfaces are the basis for realizing the design of the minimal curved surface modeling...

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

Published Online: Jul 27, 2021

Page range: 183 - 190

Received: Apr 12, 2021

Accepted: Jul 07, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00025

Keywords
Nonlinear over-limit interpolation equation, artistic surface modeling, hash data interpolation, parameter optimization, modeling

© 2021 Tan Cheng et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

Published Online: Jul 27, 2021

Page range: 183 - 190

Received: Apr 12, 2021

Accepted: Jul 07, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00025

KeywordsNonlinear over-limit interpolation equation, artistic surface modeling, hash data interpolation, parameter optimization, modeling

© 2021 Tan Cheng et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Keywords
Nonlinear over-limit interpolation equation, artistic surface modeling, hash data interpolation, parameter optimization, modeling