BUILT-IN MATHEMATICA SYMBOL

HistogramTransformInterpolation

HistogramTransformInterpolation[{x₁, x₂, ...}]
finds a function so that the transformed values are distributed nearly uniformly.

HistogramTransformInterpolation[{x₁, x₂, ...}, dist]
finds so that are distributed with distribution dist.

HistogramTransformInterpolation[image, ...]
finds a function that reshapes the histogram of image.

Details Details

HistogramTransformInterpolation[data, dist] finds a function that interpolates between the quantiles of data and dist.
HistogramTransformInterpolation gives results in terms of InterpolatingFunction objects.
HistogramTransformInterpolation[{data₁, data₂, ...}, ...] gives a list of functions that correspond to each dataset.
HistogramTransformInterpolation[{data₁, data₂, ..., data_n}, ref] finds a function so that the transformed datasets would have nearly the same distribution as a reference dataset or image ref. If ref is an image it should have either 1 or n channels.
HistogramTransformInterpolation[data] is equivalent to HistogramTransformInterpolation[data, UniformDistribution[{0, 1}]].
HistogramTransformInterpolation[source, ref, n] finds an interpolating function with n equally spaced quantiles.
HistogramTransformInterpolation[image, ref] is equivalent to HistogramTransformInterpolation[image, ref, 256].
With HistogramTransformInterpolation[data, ref, Automatic], the number of quantiles is the same as the number of bins used in Histogram[data].