Combined SGC-Ball Interpolation Curves: Construction and IGEO-Based Shape Optimization

With the swift advancement of geometric modeling industry and computer technology, traditional generalized Ball curves surfaces are challenging to achieve various complex surfaces. Constructing an interpolation curve for given discrete data points optimizing its shape have important research value in engineering applications. This article uses improved golden eagle optimizer design shape-adjustable combined cubic with ideal shape. Firstly, constructed, which global local parameters. Secondly, is presented by integrating Lévy flight, sine cosine algorithm, differential evolution into original optimizer; three mechanisms work together increase precision convergence rate optimizer. Finally, view criterion minimizing energy, optimization models that meet C1 C2 smooth continuity instituted. The employed deal models, minimum energy attained. superiority competitiveness solving verified through representative numerical experiments.