The digital and physical methods of establishing minimal curved surfaces are the basis for realizing the design of theminimal curved surface modeling structure. Based on this research background, the paper showed an artistic surfacemodeling method based on nonlinear over-limit difference equations. The article combines parameter optimization and 3Dmodeling methods to model the constructed surface modeling. The research found that the nonlinear out-of-limit differenceequation 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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