Application of threshold wavelet transform to wavefront reconstruction

The threshold wavelet wavefront reconstruction algorithm is proposed because of large amount of calculation and slow convergence velocity for conventional wavefront reconstructor. The wavefront phase distortion is projected to four-dimensional wavelet basis and the pseudo-inverse matrix is spared to reduce the calculation effectively. Meanwhile the threshold algorithm is chosen to remove some nonzero terms which have little effect to reconstruction precision. It further increases the matrix sparse degree and computational efficiency. The algorithm is compared with conventional least square, Zeruike modal and iterative method for amount of calculation and RMS error. The simulation results show that this algorithm is superior to the others for computing speed and convergence precision.