We need to compute the mean chord length in calculating the Knudsen number.
The mean chord length for linear polygons has been implemented. We need to compute the mean chord length for quadratic polygons. The tasks to do this are:
[x] Implement modular rays
[x] Verify correctness of modular rays by visualizing
[ ] Compute mean chord length by shooting rays through the bounding box of a face
[ ] Determine an appropriate number of rays and angles to produce an accurate MCL
Mean chord length does not need to be computed numerically. Even for a concave polygon, the pi area / perimeter formula gives the desired answer. Note: If you consider a single ray which is shot through a concave polygon, forming 2 distinct segments s1 and s2. pi area / perimeter is the exact solution if you which to count the lengths of s1 and s2 separately. If you wish to count them together (s1 + s2), then you must perform the numerical computation from above.
We need to compute the mean chord length in calculating the Knudsen number.
The mean chord length for linear polygons has been implemented. We need to compute the mean chord length for quadratic polygons.
The tasks to do this are:Implement modular raysVerify correctness of modular rays by visualizingCompute mean chord length by shooting rays through the bounding box of a faceDetermine an appropriate number of rays and angles to produce an accurate MCLMean chord length does not need to be computed numerically. Even for a concave polygon, the pi area / perimeter formula gives the desired answer. Note: If you consider a single ray which is shot through a concave polygon, forming 2 distinct segments s1 and s2. pi area / perimeter is the exact solution if you which to count the lengths of s1 and s2 separately. If you wish to count them together (s1 + s2), then you must perform the numerical computation from above.