高分辨力哈特曼传感器的快速波面重构和拼接

建立哈特曼传感器的模型，证明在高空间分辨力下，可以采用Hudgin模型进行波面重构，避免了采用Fried模型带来的复杂性。对哈特曼子孔径缺失破坏连续性的问题进行了分析，介绍了相应的边缘处理算法。完成了基于离散傅里叶变换的波面重构算法数值模拟，实现了波面的无损重构。针对实际应用中输入波面在被遮挡处不连续的问题，提出了基于最小二乘解的拼接方案，实现了非连续波面拼接。分析了影响波面重构速度的主要因素，提出了提高波面重构性能的方法。

Fast wave-front reconstruction and stitching for high definition Hartmann wave-front sensor

A physical model for high definition Hartmann wave-front sensor is build up, and the feasibility of using Hudgin model instead of Fried model in high definition Hartmann wave-front sensors is proved. The boundary problem caused by unknown sub-aperture slope is analyzed, and the corresponding edge processing method is introduced. The process of wave-front reconstruction based on discrete Fourier transform is numerically simulated, and the lossless reconstruction is achieved. In practical applications, the input wave-front may be discontinuous at the edge of the obscured part. Thus a wave-front stitching method using least square solution is proposed. The main factors which slow down the speed of reconstruction are studied, and the way to improve the reconstruction performance is proposed.