3D plot for a given matrix

I built a 3D matrix def3D.mat (size of 1024*1024*183) with values of 0 and 1, which should look like the picture given below. Each bead is composed of values of 1, and the others are 0. How can I draw this picture, including the beads and their projections in the (x,y) plane?

Answer 1

[KSSV]

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