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The meaning of the position map ?
I would like to ask, what do the colors on the position map mean and how do they affect the face reconstruction process? Does it mean the same as in PNCC?

Yes, its same as pncc that is converting normalized x,y,z values to r,g,b values. The difference is that here x, y, z coordinates in 3d space is mapped to texture coordinates (vt_x, vt_y) associated with 3d model and then this map is plotted where x, y, z values are mapped to r,g,b values at locations vt_x, vt_y. Hope this made sense.