Equation for a Curve created using curve through points

Hello

Given points, one can create a curve passing through these points. There is already a command for same in Creo.

now, can we know what equation creo does follow to create this curve (passing through points)?

Sole purpose to know this equation is as below:

We have two different datum points sets

Each datum point set is used to create a curve passing through points

Before creating these two curves, we would like to know whether both of them will intersect or not

To ensure above, we need curve equation Creo is going to follow while creating these curves

Feel free to ask if I have not made my query clear.

Thanks in advance..

Regards

Ketan