3D data clustering using DBSCAN or equivalent approach

Hi friends, I have a huge amount of data that are distributed in 3D space (X,Y,Z) and I need to make clustering similar to that used in 2D data using DBSCAN. just to group the points that are close to each other in space in respective clusters.I attach the image to make it clear how the dataset looks like. just to inform that I don't know the number of clusters in the data a priori, so I cannot use K-means approach equivalents. Thanks for your help.

Best Regards, Hossam