Averaged shifted histograms

This visualization algorithm uses a density estimation approach based on averaged shifted histograms [1]. In the one-dimensional case, this method works by averaging n histograms with the same bin width w, but with the origin of each histogram shifted by \frac{w}{n} from the previous histogram. In the multidimensional case, there are n^{d} multidimensional histograms averaged in total, i.e., for n shifts in each of the d dimensions. In our implementation, the width of the histogram bin is determined as w=na, where a is the pixel size of the super-resolution image. The number of shifts n in the lateral and axial directions can be specified independently.

See also

References

  • [1] D. W. Scott(1985) Averaged shifted histograms: effective nonparametric density estimators in several dimensions, The Annals of Statistics 13 (3), pp. pp. 1024–1040. External Links: Link. Cited by: Averaged shifted histograms.