The curve cut tool in dynamic modeler cuts off the jagged edges of the model

1、The first step is to place curves on the surface of the model
curve cut model
2、Use the cueve cut tool in dynamic model to cut
curve cut model 1
3、Result : the edges of the model are jagged

Increase the number of points on the curve using resampling (and make sure you enable the constrain to surface). Here is a cut with three point CC originally (green), and another one using the resampling on that curve to increase the number of points to 53. They are cut from the same sphere.