Treffer: Jacobi-like method for a control algorithm in adaptive-optics imaging

Title:
Jacobi-like method for a control algorithm in adaptive-optics imaging
Source:
Advanced signal processing algorithms, architectures, and implementation VIII (San Diego CA, 22-24 July 1998)SPIE proceedings series. :296-307
Publisher Information:
Bellingham WA: SPIE, 1998.
Publication Year:
1998
Physical Description:
print, 15 ref
Original Material:
INIST-CNRS
Document Type:
Konferenz Conference Paper
File Description:
text
Language:
English
Author Affiliations:
BOPS Inc., 6340 Quadrangle Dr, Suite 120, Chapel Hill, NC 27514, United States
US Air Force Phillips Laboratory, Lasers and Imaging Directorate, Kirtland Air Force Base, NM 87117, United States
Department of Computer Science, Cornell University, Ithaca, NY 14853, United States
Department of Computer Science, Wake Forest University, Winston-Salem, NC 27109, United States
Rights:
Copyright 1999 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Astronomy
Accession Number:
edscal.1574102
Database:
PASCAL Archive

Weitere Informationen

A study is made of a non-smooth optimization problem arising in adaptive-optics, which involves the real-time control of a deformable mirror designed to compensate for atmospheric turbulence and other dynamic image degradation factors. One formulation of this problem yields a functional f(U) = Σi=1n maxj{(UTMjU)ii} to be maximized over orthogonal matrices U for a fixed collection of n x n symmetric matrices Mj. We consider first the situation which can arise in practical applications where the matrices Mj are nearly pairwise commutative. Besides giving useful bounds, results for this case lead to a simple corollary providing a theoretical closed-form solution for globally maximizing f if the Mj are simultaneously diagonalizable. However, even here conventional optimization methods for maximizing f are not practical in a real-time environment. The general optimization problem is quite difficult and is approached using a heuristic Jacobi-like algorithm. Numerical tests indicate that the algorithm provides an effective means to optimize performance for some important adaptive-optics systems.