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 0 down vote favorite

I have $n$ points (in this example $11$) and I need to interpolate them in such a way that I have a function $f(t) \rightarrow (R, R)$ where $t \in [0; 2\pi]$. It can be parametric curve, but I need to have a function.

enter image description here

share|improve this question
1  
Do you need smooth function, or just piecewise linear will fit? – Norbert May 11 '12 at 21:48
I think that linear will be enough. – jcubic May 11 '12 at 21:55
The convex hull does not necessarily include all the points. So do you want to interpolate the $n$ points or do you want to parameterize the convex hull? – Rahul Narain May 11 '12 at 23:15
@RahulNarain I want to parameterize points belong to convex hull (but function should return points between them). – jcubic May 12 '12 at 4:28

1 Answer

up vote 2 down vote

Order the points according to polar coordinates centered at the barycenter. Join consecutive points by a line segment. This gives you a piecewise linear curve using the angle as parameter.

share|improve this answer
See also Graham scan. – lhf May 11 '12 at 22:24

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.