Algorithm 1: K-means++ Clustering Algorithm

Input: initial cluster number $k^{*}$, point set $S$ Output: cluster set$CL=\left\{C{L}_1,C{L}_2,\dots C{L}_i\dots ,C{L}_K\right\}$ /*Initialization*/ 1: randomly select an initial center $c_1$uniformly from S 2: Repeat 3: choose the next clustering center $c_i$ by Equation (6) 4: until $k^{*}$ clustering centers selected /*Cluster Formation*/ 5: Repeat 6: cluster the points in $S$ by Equation (7) 7: update the clustering centers by Equation (8) 8: until$C$ converges