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Given a dictionary including multiple X-Y pairs where X, Y are both three dimensional structure. dictionaryBasedNonlocalMean function return a output which is weighted sum of each Y in the dictionary. Each weight of Y are based on the Manhattan distance between the input of dictionaryBasedNonlocalMean function and the corresponding X in the dictionary. In mathematical form, output is calculated with the following way.

output =
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622

Given a dictionary including multiple X-Y pairs where X, Y are both three dimensional structure. dictionaryBasedNonlocalMean function returns a output which is weighted sum of each Y in the dictionary. Each weight of Y are based on the Manhattan distance between the input of dictionaryBasedNonlocalMean function and the corresponding X in the dictionary. In mathematical form, output is calculated with the following way.

output =
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622
 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622 1.6622

where N_D is the count of X-Y pairs in the dictionary and the Gaussian function

where N_D is the count of X-Y pairs (the cardinality of set X and set Y) in the dictionary and the Gaussian function

Illustration

Illustration