I need to find arclengths instead of straight edges of these polygons.

I need to find and store all of the individual curved edges (arclengths) for each polygonal cell in the attached image (as opposed to the straight polygon edges, which are stored in obj.Cgraph.Edges), Currently, it looks like the only the complete perimeters for each cell are shown in the output struct of the code. I can share the entire code for anyone interested in helping to solve this problem. Thanks in advance for your help.

[Steven Lord]

Let's say that you had an edge connecting two points (the black line in the example below.) For which of the two curved edges (the dotted line or the dashed line) do you want to compute the arc length and why?

plot([-1 1], [0 0], 'k-');
hold on
x = -1:0.01:1;
edge1 = polyfit([-1 0 1], [0 1 0], 2);
plot(x, polyval(edge1, x), ':')
edge2 = polyfit([-1 0 1], [0 2 0], 2);
plot(x, polyval(edge2, x), '--')
axis([-1, 1, -1, 2])

[Steven D]

Thank you for taking the time to present your question Steven. In the mindset of my question, I would choose neither of the curved lines you offered because they are not true arcs of circles. All of the curved edges in my plot are actually arcs of circles (each having both a radius and a circular arc length). I would like to have the values for each of the arc lengths to be cached/stored in a variable somewhere so I could access them externally for analysis. Right now, only the last arc length is listed in the workspace after the code is run.

[Steven D]

By the way, Here's a snippet of the code that mentions arc length: