Optimal Median Networks

Find the median without full sorting

Median networks find the median (or k-th element) without fully sorting. For FPGA LIDAR and image processing, finding the median of a sliding window is common for noise reduction. These networks are optimized for minimal depth and comparator count when only the median is needed. Optimal median network constructions are based on the excellent research by Bert Dobbelaere.

Properties

PropertyValue
Depth (stages)O(log n) to O(log2 n)
ComparatorsFewer than full sort
ParallelismHigh - many independent comparisons
Best forMedian filters, noise reduction, image processing
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Resources