In this paper we demonstrate the results of implementation of B-spline surface approximation algorithm for Shack-Hartmann wavefront sensor. We compared the efficiency of reconstruction of simple simulated wavefronts, represented by the single aberrations, such as defocus, coma, astigmatism, trefoil, spherical aberration, etc. by means of Zernike and B-spline polynomials. We also demonstrated the efficiency of the use of B-spline approximation of the complex wavefronts: Franke surface (RMS of the initial and the reconstructed surface was equal to 0.38 and 0.39 um, respectively) and wavefront of the thin ring-shaped detail (outer/inner diameter of the ring was 114/95 mm) with the peak-to-valley of approximately 3.5 um.
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