Welcome to the forum, @Lazybones!
So, the trick is to use your border-friendly image to generate a mask, from which you have ROIs, which you can then apply to your original image and measure.
Here is a quick macro I made using the Macro Recorder:
home = call("java.lang.System.getProperty", "user.home");
open(home + "/Desktop/18.1_Terminal Cancer_1-250_puro_2B-2A-lam_20X_Alexa 647.JPG");
run("Analyze Particles...", "size=1000-Infinity exclude add");
open(home + "/Desktop/18.1_Terminal Cancer_1-250_puro_2B-2A-lam_20X_Alexa 546.JPG");
run("Set Measurements...", "area mean standard modal min centroid center perimeter bounding fit shape feret's integrated median skewness kurtosis area_fraction stack redirect=None decimal=3");
It assumes your images are saved in your home directory’s
For details on how I did this, see the Segmentation page.
I leave it as an exercise to the reader how to fix the erroneously large cell #24.