How can I calculate the radius of curvature of a 3D curve that is parameterized in the form:

x(t), y(t), z(t)?

Printable View

- April 11th 2010, 01:12 PMCrashDummy11Radius of Curvature
How can I calculate the radius of curvature of a 3D curve that is parameterized in the form:

x(t), y(t), z(t)? - April 11th 2010, 01:17 PMmaddas
It is the reciprocal of the curvature, whose formula can be found at Curvature - Wikipedia, the free encyclopedia

Essentially, at a point p, one takes the limiting value of the radius of the circle passing through p-dp, p, and p+dp. - April 11th 2010, 01:22 PMPlato
- April 11th 2010, 01:26 PMCrashDummy11
Thats a really ugly formula but it was what I was looking for. Thanks!