Well, your problem is not in the 3D graphing function, the graph you get is exactly (or close, anyway) what you get when plotting the same data in Excel (for the data you give in the first post), and seems to be following what (I think) are the images you sent. Especially if you are trying to get thickness data, you're apparently not feeding it the right numbers. You are working with values across a rectangular 2D array here, how do you plan to make it round?
Are you actually trying to make a 4-D plot - X,Y,Z data of the surface of the ball and color the points according to the thickness at each (X,Y,Z) point? If so, you're going to have to modify the 3D plot VI to have custom colors for each point based not on the Z value, but on your thickness value and leaving the point position where it is (for a pseudo-3D plot), I don't know if that is possible in LabVIEW.
I don't have a vision system (and this was not noted in your first post as to where your data comes from), so I cannot help you there, but you seem to be having some problems with it specifically, since you don't show the half-sphere if you wanted to plot your surface coordinates in 3D.
Also, I do not understand why you have all the case structures in Equat.vi, however, since the same equation is in each one. If this is in preparation for a second iteration where the equations will differ, then you would probably be better off leaving that until you come to that bridge, since it just adds unnecessary complexity to your program now.
Cameron
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