Abstract

The Cumulative Reconstructor (CuRe) is a new direct reconstructor for an optical wavefront from Shack–Hartmann wavefront sensor measurements. In this paper, the algorithm is adapted to realistic telescope geometries and the transition from modified Hudgin to Fried geometry is discussed. After a discussion of the noise propagation, we analyze the complexity of the algorithm. Our numerical tests confirm that the algorithm is very fast and accurate and can therefore be used for adaptive optics systems of Extremely Large Telescopes.

© 2011 Optical Society of America

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References

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    [CrossRef]
  11. E. Fedrigo, R. Bourtembourg, R. Donaldson, C. Soenke, M. Suarez Valles, and S. Zampieri, “SPARTA for the VLT: status and plans,” Proc. SPIE 7736, 77362I (2010).
    [CrossRef]

2010 (2)

E. Fedrigo, R. Bourtembourg, R. Donaldson, C. Soenke, M. Suarez Valles, and S. Zampieri, “SPARTA for the VLT: status and plans,” Proc. SPIE 7736, 77362I (2010).
[CrossRef]

E. Thiebaut and M. Tallon, “Fast minimum variance wavefront reconstruction for extremely large telescopes,” J. Opt. Soc. Am. A 27, 1046–1059 (2010).
[CrossRef]

2009 (1)

2008 (1)

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

2006 (1)

M. Le Louarn, C. Verinaud, V. Korkiakoski, N. Hubin, and E. Marchetti, “Adaptive optics simulations for the European Extremely Large Telescope,” Proc. SPIE 6272, 627234 (2006).
[CrossRef]

2005 (1)

2002 (2)

1986 (1)

Abe, L.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Antichi, J.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Baruffolo, A.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Baudoz, P.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Béchet, C.

Beuzit, J.-L.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Boccaletti, A.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Bourtembourg, R.

E. Fedrigo, R. Bourtembourg, R. Donaldson, C. Soenke, M. Suarez Valles, and S. Zampieri, “SPARTA for the VLT: status and plans,” Proc. SPIE 7736, 77362I (2010).
[CrossRef]

Brase, J. M.

Carbillet, M. H.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Charton, J.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Claudi, R.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Dohlen, K.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Donaldson, R.

E. Fedrigo, R. Bourtembourg, R. Donaldson, C. Soenke, M. Suarez Valles, and S. Zampieri, “SPARTA for the VLT: status and plans,” Proc. SPIE 7736, 77362I (2010).
[CrossRef]

Downing, M.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Ellerbroek, B. L.

Fabron, C.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Feautrier, P.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Fedrigo, E.

E. Fedrigo, R. Bourtembourg, R. Donaldson, C. Soenke, M. Suarez Valles, and S. Zampieri, “SPARTA for the VLT: status and plans,” Proc. SPIE 7736, 77362I (2010).
[CrossRef]

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Feldt, M.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Freischlad, K. R.

Fusco, T.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Gach, J.-L.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Gavel, D. T.

Gratton, R.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Henning, T.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Hubin, N.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

M. Le Louarn, C. Verinaud, V. Korkiakoski, N. Hubin, and E. Marchetti, “Adaptive optics simulations for the European Extremely Large Telescope,” Proc. SPIE 6272, 627234 (2006).
[CrossRef]

Joos, F.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Kasper, M.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Koliopoulos, C. L.

Korkiakoski, V.

M. Le Louarn, C. Verinaud, V. Korkiakoski, N. Hubin, and E. Marchetti, “Adaptive optics simulations for the European Extremely Large Telescope,” Proc. SPIE 6272, 627234 (2006).
[CrossRef]

Langlois, M.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Le Louarn, M.

M. Le Louarn, C. Verinaud, V. Korkiakoski, N. Hubin, and E. Marchetti, “Adaptive optics simulations for the European Extremely Large Telescope,” Proc. SPIE 6272, 627234 (2006).
[CrossRef]

Lenzen, R.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Marchetti, E.

M. Le Louarn, C. Verinaud, V. Korkiakoski, N. Hubin, and E. Marchetti, “Adaptive optics simulations for the European Extremely Large Telescope,” Proc. SPIE 6272, 627234 (2006).
[CrossRef]

Mouillet, D.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Moutou, C.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Neubauer, A.

M. Zhariy, A. Neubauer, M. Rosensteiner, and R. Ramlau, “Cumulative wavefront reconstructor for the Shack-Hartman sensor,” Inverse Problems and Imaging (to be published).

Pavlov, A.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Petit, C.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Poyneer, L. A.

Pragt, J.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Puget, P.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Rabou, P.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Ramlau, R.

M. Zhariy, A. Neubauer, M. Rosensteiner, and R. Ramlau, “Cumulative wavefront reconstructor for the Shack-Hartman sensor,” Inverse Problems and Imaging (to be published).

Rigal, F.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Roddier, F.

F. Roddier, Adaptive Optics in Astronomy (Cambridge University, 1999).
[CrossRef]

Roelfsema, R.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Rosensteiner, M.

M. Zhariy, A. Neubauer, M. Rosensteiner, and R. Ramlau, “Cumulative wavefront reconstructor for the Shack-Hartman sensor,” Inverse Problems and Imaging (to be published).

Rousset, G.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Saisse, M.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Schmid, H.-M.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Soenke, C.

E. Fedrigo, R. Bourtembourg, R. Donaldson, C. Soenke, M. Suarez Valles, and S. Zampieri, “SPARTA for the VLT: status and plans,” Proc. SPIE 7736, 77362I (2010).
[CrossRef]

Stadler, E.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Suarez Valles, M.

E. Fedrigo, R. Bourtembourg, R. Donaldson, C. Soenke, M. Suarez Valles, and S. Zampieri, “SPARTA for the VLT: status and plans,” Proc. SPIE 7736, 77362I (2010).
[CrossRef]

Tallon, M.

Thalmann, C.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Thiebaut, E.

Thiébaut, Éric

Turatto, M.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Udry, S.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Vakili, F.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Véran, J.-P.

Verinaud, C.

M. Le Louarn, C. Verinaud, V. Korkiakoski, N. Hubin, and E. Marchetti, “Adaptive optics simulations for the European Extremely Large Telescope,” Proc. SPIE 6272, 627234 (2006).
[CrossRef]

Waters, R.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Wildi, F.

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

Zampieri, S.

E. Fedrigo, R. Bourtembourg, R. Donaldson, C. Soenke, M. Suarez Valles, and S. Zampieri, “SPARTA for the VLT: status and plans,” Proc. SPIE 7736, 77362I (2010).
[CrossRef]

Zhariy, M.

M. Zhariy, A. Neubauer, M. Rosensteiner, and R. Ramlau, “Cumulative wavefront reconstructor for the Shack-Hartman sensor,” Inverse Problems and Imaging (to be published).

J. Opt. Soc. Am. A (6)

Proc. SPIE (3)

M. Le Louarn, C. Verinaud, V. Korkiakoski, N. Hubin, and E. Marchetti, “Adaptive optics simulations for the European Extremely Large Telescope,” Proc. SPIE 6272, 627234 (2006).
[CrossRef]

J.-L. Beuzit, M. Feldt, K. Dohlen, D. Mouillet, P. Puget, F. Wildi, L. Abe, J. Antichi, A. Baruffolo, P. Baudoz, A. Boccaletti, M. H. Carbillet, J. Charton, R. Claudi, M. Downing, C. Fabron, P. Feautrier, E. Fedrigo, T. Fusco, J.-L. Gach, R. Gratton, T. Henning, N. Hubin, F. Joos, M. Kasper, M. Langlois, R. Lenzen, C. Moutou, A. Pavlov, C. Petit, J. Pragt, P. Rabou, F. Rigal, R. Roelfsema, G. Rousset, M. Saisse, H.-M. Schmid, E. Stadler, C. Thalmann, M. Turatto, S. Udry, F. Vakili, and R. Waters, “SPHERE: a ‘Planet Finder’ instrument for the VLT,” Proc. SPIE 7014, 701418 (2008).
[CrossRef]

E. Fedrigo, R. Bourtembourg, R. Donaldson, C. Soenke, M. Suarez Valles, and S. Zampieri, “SPARTA for the VLT: status and plans,” Proc. SPIE 7736, 77362I (2010).
[CrossRef]

Other (2)

F. Roddier, Adaptive Optics in Astronomy (Cambridge University, 1999).
[CrossRef]

M. Zhariy, A. Neubauer, M. Rosensteiner, and R. Ramlau, “Cumulative wavefront reconstructor for the Shack-Hartman sensor,” Inverse Problems and Imaging (to be published).

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Figures (8)

Fig. 1
Fig. 1

Subaperture with the positions of the modified Hudgin geometry.

Fig. 2
Fig. 2

Annular aperture with example of a common support of two chains.

Fig. 3
Fig. 3

L 2 error for CuRe and MVM versus telescope size, subaperture size, and Fried parameter fixed d = r 0 = 0.2 m .

Fig. 4
Fig. 4

L 2 error for CuRe and MVM versus noise level in signal- to-noise ratio, telescope size D = 8 m , subaperture size, and Fried parameter fixed d = r 0 = 0.2 m .

Fig. 5
Fig. 5

L 2 error for CuRe versus telescope size in case of annular aperture, subaperture size, and Fried parameter fixed d = r 0 = 0.2 m .

Fig. 6
Fig. 6

Noise propagation for circular aperture comparing the CuRe with bilinear interpolation (CuRe), the CuRe with alternative interpolation (CuReEx), the FTR, and the FrIM.

Fig. 7
Fig. 7

Noise propagation for annular aperture comparing the CuRe with bilinear interpolation (CuRe) and the CuRe with alternative interpolation (CuReEx).

Fig. 8
Fig. 8

Comparison of the performance of CuRe with alternative interpolation with the FrIM for different photon flux.

Tables (1)

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Table 1 Comparison of the Reconstruction Time for Several Methods on a Real-Time System with Help from ESO

Equations (25)

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s x [ i , j ] = Γ x ϕ [ i , j ] 1 | Ω i j | Ω i j ϕ x ( x , y ) d ( x , y )
s x [ i , j ] ϕ [ i , j 1 2 ] ϕ [ i 1 , j 1 2 ] ,
s y [ i , j ] ϕ [ i 1 2 , j ] ϕ [ i 1 2 , j 1 ] .
l x [ i + 1 , j 1 2 ] = l x [ i , j 1 2 ] + s x [ i + 1 , j ] ,
l y [ i 1 2 , j + 1 ] = l y [ i 1 2 , j ] + s y [ i , j + 1 ] ,
l x 0 [ i , j 1 2 ] = l x [ i , j 1 2 ] w x [ j 1 2 ] ,
l y 0 [ i 1 2 , j ] = l y [ i 1 2 , j ] w y [ i 1 2 ] ,
t x [ i ] = t x [ i 1 ] + 1 N j = 1 N s x [ i , j ] ,
t y [ j ] = t y [ j 1 ] + 1 N i = 1 N s y [ i , j ] ,
t x [ i + 1 2 ] = 1 2 ( t x [ i ] + t x [ i + 1 ] ) ,
t y [ j + 1 2 ] = 1 2 ( t y [ j ] + t y [ j + 1 ] ) ,
s ¯ x = 1 b a j = a b s x [ i , j ] ,
t x [ i + 1 2 ] = t x [ i 1 2 ] + w y | [ a , b ] [ i 1 2 ] w y | [ a , b ] [ i + 1 2 ] + 1 2 ( s x ¯ [ i 1 ] | [ a , b ] + s x ¯ [ i ] | [ a , b ] ) ,
m t = 1 n k = 1 N N k ( w x [ k 1 2 ] + t x [ k 1 2 ] )
ϕ [ i , j ] = 1 4 ( ϕ [ i , j 1 2 ] + ϕ [ i , j + 1 2 ] + ϕ [ i 1 2 , j ] + ϕ [ i + 1 2 , j ] ) ,
ϕ 1 [ i , j ] ϕ [ i 1 2 , j ] + 1 4 ( s x [ i , j ] + s x [ i , j + 1 ] ) ,
ϕ 2 [ i , j ] ϕ [ i + 1 2 , j ] 1 4 ( s x [ i + 1 , j ] + s x [ i + 1 , j + 1 ] ) ,
ϕ 3 [ i , j ] ϕ [ i , j 1 2 ] + 1 4 ( s y [ i , j ] + s y [ i + 1 , j ] ) ,
ϕ 4 [ i , j ] ϕ [ i , j + 1 2 ] 1 4 ( s y [ i , j + 1 ] + s y [ i + 1 , j + 1 ] ) ,
ϕ [ i , j ] = 1 4 ( ϕ 1 [ i , j ] + ϕ 2 [ i , j ] + ϕ 3 [ i , j ] + ϕ 4 [ i , j ] ) .
mse = trace ( M M T ) n ,
mse = 0.1456 ( ln n ) 2 1.7922 ln n + 7.6175 .
mse = 0.842 + 0.127 ln n .
mse = 3.814 + 2.307 ln n 0.416 ( ln n ) 2 + 0.0284 ( ln n ) 3
mse = 2.4 + 2.001 ln n 0.385 ( ln n ) 2 + 0.0273 ( ln n ) 3 ,

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