I am working on a paper that provides the following formula for computing radius of curvature at a point on a surface.
\frac{1}{\rho_c}=\frac{\partial G/\partial S}{2\sqrt{E}G}
where E,G are first fundamental coefficients and S is the arc length parameter.
Can anyone please tell me the...
I am dealing with non-uniform rational b-splines surface and I don't know the parametric equation of the geodesic path. I just know a set of points on the geodesic then how to re-parameterize with arc length.
can I use \frac{d G}{d s}=G_u \frac{d u}{d s}+ G_v \frac{d v}{d s}
I am trying to compute the geodesic (or tangent) radius of curvature of the geodesic circle by using the below formula.
\frac{1}{\rho_c}=\frac{\partial G/\partial S}{2\sqrt{E} G}
where s is the arc length parameter and E, G are the coefficents of the first fundamental form.
Can you...