Advertisement
Advertisement
⚡ Community Insights
Discussion Sentiment
67% Positive
Analyzed from 264 words in the discussion.
Trending Topics
#radius#https#clothoid#road#straight#com#important#curve#roads#used
Discussion Sentiment
Analyzed from 264 words in the discussion.
Trending Topics
Discussion (8 Comments)Read Original on HackerNews
A clothoid is used to connect two lines the same way your fillet is, except instead of just 1 radius it has a radius configured for each end and smoothly changes in between.
https://en.wikipedia.org/wiki/Euler_spiral
They are also used in railways, because on a railway you don't have the freedom of moving the car's position across the road, so a transition from a straight track to a constant radius would imply an instantaneous step change in centrifugal force, or infinite jerk. Using a clothoid to smooth the change between the straight track and the constant-radius turn means the lateral acceleration increases smoothly instead of instantaneously.
Although re-reading that it seems they just don't want to deal with the math involved
https://www.dgp.toronto.edu/~mccrae/projects/clothoid/sbim20...