1. Determinant and Exchange Algorithms for Observation Subset Selection.
- Author
-
Broughton, Robert, Coope, Ian, Renaud, Peter, and Tappenden, Rachael
- Subjects
IMAGE reconstruction ,ALGORITHMS ,MATRICES (Mathematics) ,SIGNAL processing ,IMAGE processing - Abstract
In many applications involving image reconstruction, signal observation time is limited. This emphasizes the requirement for optimal observation selection algorithms. A selection criterion using the trace of a matrix forms the basis of two existing algorithms, the Sequential Backward Selection and Sequential Forward Selection algorithms. Neither is optimal although both generally perform well. Here we introduce a trace row-exchange criterion to further improve the quality of the selected subset and introduce another observation selection criterion based upon the determinant of a matrix. [ABSTRACT FROM AUTHOR]
- Published
- 2010
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