6 April 1998 Choquet integral representations of nonlinear filters with applications to ladar image processing
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Abstract
The paper describes the application of Choquet integral filters to automatic object detection in laser radar (LADAR) imagery. Choquet integrals are nonlinear integrals with respect to non-additive measures. These integrals can be used to represent typical nonlinear filters such as order statistic filters, linear combination of order statistic filters, weighted median filters and others. A Choquet integral filter is characterized by a measure. The representation of these filters as integrals with respect to measures provides an opportunity for optimizing the filters by finding optimal measures. Both optimal and heuristic filters are designed and compared on real data.
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Ali Koksal Hocaoglu, Paul D. Gader, "Choquet integral representations of nonlinear filters with applications to ladar image processing", Proc. SPIE 3304, Nonlinear Image Processing IX, (6 April 1998); doi: 10.1117/12.304617; https://doi.org/10.1117/12.304617
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