Plot the line of intersection between two surfaces with trisurf

Referring to this thread:

https://de.mathworks.com/matlabcentral/answers/93623-how-do-i-plot-the-line-of-intersection-between-two-surfaces

Is there a possibility to plot the line of intersection, in case one of the surface is a trisurf?

In my use case, I'm not able to meshgrid one of the surfaces because of numerical quality. The amount of points is too big to pass to meshgrid. However, if I choose a random subset, the resulting surface does not reproduce the shape built up by my data points. What is possible is to use delauny and trisurf on the data.