sundar0206 said:How is this done actually? Sorry I am not too well versed so can you please explain
Regards
To check if a point lies on a NURBS surface, you can use the point-in-polyhedron algorithm. This algorithm involves projecting the point onto the surface and then checking if the projected point lies within the boundaries of the surface.
Yes, a point can lie on a NURBS surface even if it is not one of the control points. This is because NURBS surfaces are defined by a set of control points, but the surface itself is a mathematical representation that can include points between the control points.
Checking if a point lies on a NURBS surface involves projecting the point onto the surface and checking if it lies within the boundaries. On the other hand, checking if a point lies on a B-spline curve involves evaluating the point using the B-spline curve equation and checking if the result is equal to the point's coordinates.
The degree of a NURBS surface does not affect the accuracy of checking if a point lies on it. This is because the point-in-polyhedron algorithm used to check if a point lies on a NURBS surface is independent of the surface's degree.
Yes, there are special cases where the point-in-polyhedron algorithm may not accurately determine if a point lies on a NURBS surface. These include cases where the point lies very close to the boundaries of the surface or cases where the surface has self-intersections.