A comparative analysis of spline and Zernike models is presented for wavefront phase construction. The techniques are analyzed on the basis of representation accuracy, computational costs, and the number of samples used for representation. The strengths and weaknesses of each model over a set of various wavefront phases with different domain shapes are analyzed. The findings show that both models efficiently represent a simple wavefront phase at irregular domain shapes. On the other hand, when complex wavefront phases at irregular domain shapes are represented, the spline model performs much better than the Zernike model. Further, results show that the spline model evaluation speed is significantly faster than the Zernike model.

中文翻译：

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Zernike 和样条模型的波前相位表示：比较

对波前相位构造的样条和 Zernike 模型进行了比较分析。这些技术是根据表示精度、计算成本和用于表示的样本数量进行分析的。分析了每个模型在一组具有不同域形状的各种波前相位上的优势和劣势。研究结果表明，两种模型都有效地表示了不规则域形状的简单波前相位。另一方面，当表示不规则域形状的复杂波前相位时，样条模型的性能比 Zernike 模型好得多。此外，结果表明，样条模型评估速度明显快于 Zernike 模型。