Fit a particle size distribution to a reference

Hello, I try to measure the particles size distributions of microscope pictures using image analysis. Works great when using Watershed algorithms and performing a binary particle analysis in the end. Now I want to fit the particle size distribution to a reference sample where I know the "real" distribution. Many different pieces of commercial software are able to perform such a calibration or fitting to a reference analysis so I think it is no magic. ;-) I thought about “calibration-factors” for each size class but first experiments in EXCEL give me really odd results when analyzing different samples distribution. The factors “warp” distributions which are not very close to the reference. I think I must calculate a “fitting” to the distribution and shift that fitting but I have no idea where to start. Can someone give me a tip or hint for the best way to perform that task? Best regards, Paul

[Star Strider]

‘Many different pieces of commercial software are able to perform such a calibration or fitting to a reference analysis ...’

Can you describe the algorithm they use or the distribution to which they fit the particle size data? If they have already solved that problem, sharing at least some of the details would help us.

[Jia Yin Ang]

Hi Paul,

By any chance do you have an example of the code you used for the particle size distributions' image analysis, in particular the watershed algorithms and binary particle analysis. I am new to MATLAB and have no idea where to start, it would be great if I could get some help!