Creating a point at the vertex of a curve

Hello,

I am curious if there is a method within Catia for locating the vertex of a curve. I have a need to create a spline that travels through the vertices of several similar parabolic curves. These parabolic curves are also asymmetrical (the curve extents are not equidistant from the vertex) so the curve midpoints do not exist as the vertices. Is anyone aware of a method, process, or tool within Catia to accomplish this?

Thank you!