ICMA, Universidad de Zaragoza and Consejo Superior de Investigaciones Científicas, Facultad de Ciencias, Zaragoza, Spain.
Opt Lett. 2011 Feb 15;36(4):433-5. doi: 10.1364/OL.36.000433.
Different types of nonredundant sampling patterns are shown to guarantee completeness of the basis formed by the sampled partial derivatives of Zernike polynomials, commonly used to reconstruct the wavefront from its slopes (wavefront sensing). In the ideal noise-free case, this enables one to recover double the number of modes J than sampling points I (critical sampling J=2I). With real data, noise amplification makes the optimal number of modes lower I<J<2I. Our computer simulations show that optimized nonredundant sampling provides a significant improvement of wavefront reconstructions, with the number of modes recovered about 2.5 higher than with standard sampling patterns.
不同类型的非冗余采样模式被证明可以保证由泽尼克多项式的采样偏导数形成的基的完备性，通常用于从斜率重建波前（波前感测）。在理想的无噪声情况下，这使得能够恢复两倍于采样点数 I 的模式数 J（临界采样 J=2I）。对于实际数据，噪声放大使得最佳模式数较低，即 I<J<2I。我们的计算机模拟表明，优化的非冗余采样可以显著提高波前重建，恢复的模式数比标准采样模式高约 2.5 倍。
