Article
Constructing Artistic Surface Modeling Design Based on Nonlinear Over-limit Interpolation Equation
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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.
Keywords
Nonlinear over-limit interpolation equation, artistic surface modeling, hash data interpolation, parameter optimization, modeling, 41A05
Citation
Cheng, T., Alassafi, M. O., & Muwafak, B. M. (2021). Constructing artistic surface modeling design based on nonlinear over-limit interpolation equation. Applied Mathematics and Nonlinear Sciences, 6(2), 183–190. https://doi.org/10.2478/amns.2021.2.00025
T. Cheng, M. O. Alassafi and B. M. Muwafak, “Constructing artistic surface modeling design based on nonlinear over-limit interpolation equation,” Applied Mathematics and Nonlinear Sciences, vol. 6, no. 2, pp. 183–190, 2021, doi: 10.2478/amns.2021.2.00025.
Cheng T, Alassafi MO, Muwafak BM. Constructing artistic surface modeling design based on nonlinear over-limit interpolation equation. Applied Mathematics and Nonlinear Sciences. 2021;6(2):183–190. doi:10.2478/amns.2021.2.00025.
Cheng, T., Alassafi, M. O. and Muwafak, B. M. (2021), ‘Constructing artistic surface modeling design based on nonlinear over-limit interpolation equation’, Applied Mathematics and Nonlinear Sciences, 6(2), pp. 183–190. Available at: https://doi.org/10.2478/amns.2021.2.00025.
Cheng, Tan, et al. “Constructing Artistic Surface Modeling Design Based on Nonlinear Over-limit Interpolation Equation.” Applied Mathematics and Nonlinear Sciences, vol. 6, no. 2, 2021, pp. 183–190. https://doi.org/10.2478/amns.2021.2.00025.
Cheng, Tan, Madini O. Alassafi, and Bishr Muhamed Muwafak. “Constructing Artistic Surface Modeling Design Based on Nonlinear Over-limit Interpolation Equation.” Applied Mathematics and Nonlinear Sciences 6, no. 2 (2021): 183–190. https://doi.org/10.2478/amns.2021.2.00025.
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Published by: Engineering Journals


