A Linear Approximate Algorithm for Earth Mover's Distance with Thresholded Ground Distance

Algorithm 1

Get the qualified bin set of reference bin.

   Input: 𝜇: threshold; 𝑑: dimensionality of histogram

   Output: Qualified bin set 𝐵

(1)  𝐵←∅; //  qualified bin set

(2) 𝑏←(0)^𝑑; //  reference bin, if 𝑑=2, 𝑏=(0,0)

(3) 𝐵← getBins(𝑏,𝐵,𝜇,𝑑,1); //  Algorithm  2

(4) Sort(𝐵);