Tell me more ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.
up vote 1 down vote favorite

Given that I have the start, end and control points for a linear Bézier curve, I am trying to find the arc-distance between the start and end points. Google seems to be failing me this morning; can anyone point me in the right direction?

share|improve this question
1  
If you have a parametric curve $\begin{align*}x&=f(t)\\y&=g(t)\end{align*}$ for $a \leq t \leq b$, then the arclength you want is $\int_a^b \sqrt{f^\prime(t)^2+g^\prime(t)^2}\mathrm dt$. – J. M. Dec 31 '11 at 17:26
2  
For the non-linear case, possible duplicate of math.stackexchange.com/questions/12186/… – lhf Dec 31 '11 at 20:49

1 Answer

up vote 1 down vote

A linear Bézier curve is just a straight line segment and so the answer is given by the Pythagorean theorem. For non-linear curves, see Arc Length of Bézier Curves.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.