Although you have not posted your data, this issue sounds an awful lot like that of this recent question: TabletoPoints->Delauny3D vs TabletoStructuredGrid
In that case, the “problem” was that these creases actually did exist in the data because the points were close to planar but not exactly planar. The lighting on surfaces make these perturbations of the plane much more noticeable. (Table to Points does not create a surface, so you will not see this effect in that case.)
I suggest selecting 3 adjacent points on this surface that span a crease and check to make sure they like exactly on a line.
If you are absolutely sure that these points are all exactly on a plane, then it would help to post your data. I don’t think we can look any closer without it.