Real-time aberration correction using phase diversity on the IBM SP2 parallel computer

1996 ◽  
Author(s):  
Meledath Damodaran
Keyword(s):  
Real Time ◽  
Parallel Computer ◽  
Aberration Correction ◽  
Phase Diversity

Concurrent computation of Zernike coefficients used in a phase diversity algorithm for optical aberration correction

1994 ◽  
Author(s):  
Richard A. Carreras ◽  
Gregory L. Tarr ◽  
Sergio R. Restaino ◽  
Gary C. Loos ◽  
Meledath Damodaran
Keyword(s):  
Aberration Correction ◽  
Optical Aberration ◽  
Phase Diversity ◽  
Concurrent Computation

PARALLEL REAL-TIME COMPUTATION OF NONLINEAR FEEDBACK FUNCTIONS

2003 ◽  
Vol 13 (01) ◽  
pp. 65-75 ◽  
Author(s):  
SELIM G. AKL
Keyword(s):  
Real Time ◽  
Parallel Computer ◽  
Nonlinear Feedback ◽  
Feedback Function ◽  
Parallel Solution ◽  
Computational Problem ◽  
Superlinear Speedup ◽  
Better Than ◽  
Surprising Observation

This paper focuses on the improvement in the quality of computation provided by parallelism. The problem of interest is that of computing the maximum of a nonlinear feedback function in a real-time environment. We show that the solution obtained in parallel is significantly, provably, and consistently better than a sequential one. It is important to note that our purpose is not to demonstrate merely that a parallel computer can obtain a solution to a computational problem that is of higher quality than one derived sequentially. The latter is an interesting (and often surprising) observation in its own right, but we wish to go further. It is shown here that the improvement in quality due to parallelism can be arbitrarily high. To be specific, the ratio of the parallel solution to the sequential one is typically superlinear in the number of processors used by the parallel computer. This result is akin to superlinear speedup—a phenomenon itself originally thought to be impossible.

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