Create a mesh on predefined vertices of surface edges

Hi, I have a need to generate a surface mesh where the mesh vertices on the surface edges are predefined. Any suggestions? Thanks

Without a specific sample file, it will be impossibile to guess.

Here is an example: A surface has 4 edges, each edge has a number of predefined vertices (red points). A mesh needs to have quads and tris with vertices at the predefined edge points (picture B). The vertices inside the surface can be any location. Picture A is created using QuadReMesh function.