mathgeometrycomputational-geometry
Calculate Total Length of Given linear Curves ignoring Bends
I want to calculate the total length of the Linear (Straight curves) by Ignoring the bends. Note: Bend angle will be 90 degrees.
I have a solution but need it in an optimal way or any formula will be welcomed.
Current Solution:
- Calculate the endpoints of all Linear lines.
- Intersects the line and get virtual intersection points.
- Then calculate the distance between points with each linear line start and virtual intersection point.
- Sum all the lengths.
Solution
Don't take it badly, but I fail to see a difficulty.
L = L1 + 2 R1 + L2 + 2 R2 + L3.
Note that the exact length (not ignoring bends) is
L = L1 + π/2 R1 + L2 + π/2 R2 + L3.
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