Just because the conclusion is wrong it does not mean that there is no point here. What’s described is exactly what one has to deal with in digital image analys

Just because the conclusion is wrong it does not mean that there is no point here. What’s described is exactly what one has to deal with in digital image analysis. Here is a write-up and a link to a paper: http://inperc.com/wiki/index.php?title=Lengths_of_curves http://inperc.com/wiki/index.php?title=Lengths_of_curves. The paper proves essentially that there is no good way to approximate lengths of curves with any grid, even if the size of the mesh goes to 0.