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This article has an erratum: [https://doi.org/10.1051/0004-6361/201833685e]


Table 2.

Probability of a zero-valued zone occurring in fomXY(u, v) depending on pixel selection method, error on quadrant finding, and PWFS pixels to DM actuators oversampling factor.

Px selection Quadrant center
Oversampling method error (px RMS)

0.0 0.1 0.3
naive (%) 26.2 31.4 61.1
1 px to qref. (%) 14.2 19.9 55.8
1 actu opt. (%) 4.1 11.5 51.4

naive (%) 9.6 14.5 43.0
96 px to qref. (%) 4.9 7.5 36.2
80 actu opt. (%) 0.2 2.3 31.9

naive (%) 0.2 1.0 14.8
96 px to qref. (%) 0.1 0.6 10.7
60 actu opt. (%) 0.0 0.0 8.6

Notes. Values are computed as Prob.(minu, v[fomXY(u, v)]< 0.01) for 10 000 random (xi,  yi)i = A, B, C, D.

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