Thank you. Very interesting! I did some testing, and found that in the special case where my arcs are one quarter of a circle, the resulting surface is very simple. Using preserve shape and lofting degree 1, you will get only six nodes, three for each arc. Furthermore, it seems like the surface match the arcs perfectly. What is happening here? And why is lofting degree affecting the surface, even when we have only two sections?
Further testing reveals that there is a limit at 120 degrees span angle for the arcs. If span angle for both arcs are below or equal to 120 degrees, the resulting through curves face has only 6 nodes.
Hi! Isn’t the parabola simpliest NURBS curve? General conic has slightly more complex equation in my opinion… with different rho parameters general conic can be parabola/hyperbola/ellips/arc. The problem about representation of the NURBS is the polynomial form, while arc is like y=sqrt(r^2-x^2). Anyway good video ;)
Thank you. Very interesting! I did some testing, and found that in the special case where my arcs are one quarter of a circle, the resulting surface is very simple. Using preserve shape and lofting degree 1, you will get only six nodes, three for each arc. Furthermore, it seems like the surface match the arcs perfectly. What is happening here? And why is lofting degree affecting the surface, even when we have only two sections?
Further testing reveals that there is a limit at 120 degrees span angle for the arcs. If span angle for both arcs are below or equal to 120 degrees, the resulting through curves face has only 6 nodes.
Nx version??
Hi! Isn’t the parabola simpliest NURBS curve? General conic has slightly more complex equation in my opinion… with different rho parameters general conic can be parabola/hyperbola/ellips/arc. The problem about representation of the NURBS is the polynomial form, while arc is like y=sqrt(r^2-x^2). Anyway good video ;)
I am over simplifying the explanations.
A 2 degree NURBS curve is basically a conic.
Thank you