I have a question which I may be making out to be a lot more complex than it actually is.
In my department we have a machine which can image the cornea and give values of various parameters (eg curvature, thickness, elevation etc). In particular I am interested in the thickness.
This machine is able to export these values into a .csv file. The data is of all the points of thickness that the machine has measured.
As the cornea is spherical, the data is arranged such that the rows represent radii starting at 0 (the centre) all the way to 6 mm (the periphery) in increments of 0.2 mm. The columns represent meridians of which there are 256, starting from 12 o'clock.
Now the machine spits out data for say the central corneal thickness, but it does not automatically spit out data for the superior, nasal, temporal or inferior peripheral thickness. As such I need to calculate that from the data I have.
I tried to test simply taking all the values for the central 3 mm (ie up to row 1.2 mm) and then dividing them by n (the number of data points) but as expected this did not give me a similar value to the machine calculate central corneal thickness.
I don't have a background in maths or geometry other than A-levels. I am a doctor by training. On doing some quick google searching it appears I need some spaced interpolation method to calculate this but I'm not sure where to begin.
Is anyone able to help me with this or at least point me in the right direction? Is the solution very complex?
I have attached a diagram with an anterior view, a cross sectional view and an example of how the data is stored in the .csv file
NOTE: the column in the table is meant to represent meridians in degrees, from 0 until 360