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Determinant and Exchange Algorithms for Observation Subset Selection

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4 Author(s)
Robert Broughton ; Mathematics and Statistics Department, University of Canterbury, Christchurch, New Zealand ; Ian Coope ; Peter Renaud ; Rachael Tappenden

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.

Published in:

IEEE Transactions on Image Processing  (Volume:19 ,  Issue: 9 )