Cumulative wavefront reconstructor for the Shack-Hartmann sensor

Wavefront reconstruction for extremely large telescopes via CuRe with domain decomposition

“…For more details on CuRe, see [10,11]. Therein, we obtained that the CuRe has a good reconstruction quality and a very low computational complexity of 19n operations (n, number of subapertures) for the case of a reconstruction according to the Fried geometry.…”

“…Therefore, it is not yet clear whether they can solve the problem with enough speed. In [10] we proposed the Cumulative Reconstructor (CuRe), a direct algorithm that is of complexity On and still parallelizable. We have shown that the CuRe is adaptable to general geometries [11] and gives a good reconstruction.…”

On-sky tests of the CuReD and HWR fast wavefront reconstruction algorithms with CANARY

“…The required matrix inversion could also be challenging. This led to a development of a number of faster methods for wavefront reconstruction as summarized by Zhariy et al (2011). A more efficient method might be preferable even for AO systems that can be controlled by MVM, since that would cut costs on hardware, power and cooling.…”

“…CuReD (Cumulative Reconstructor with Domain decomposition, see Zhariy et al 2011;Rosensteiner 2012) and HWR (Hierarchical Wavefront Reconstructor, Bharmal et al 2013) are two examples of such fast algorithms. They are used in close-loop for the singleconjugate AO with the Fried geometry, where the DM actuators coincide with the subaperture corners of the WFS.…”

An H1 -Kaczmarz reconstructor for atmospheric tomography

“…It is particularly well suited for high dimensional ill-posed problems (cf, e.g., [3]). Note that we will always assume that the wavefronts have already been reconstructed from wavefront sensor measurements, using, e.g., the CuRe (Cumulative reconstructor) [23,18]. In the particular case of atmospheric tomography, the iterative update steps are executed on overlapping domains of annuli formed by telescope apertures being projected onto different atmospheric layers and into different directions, see Figure 3.…”