I am implementing skeleton-based parcel subdivision based on a research paper https://www.cs.purdue.edu/cgvlab/papers/aliaga/eg2012.pdf [www.cs.purdue.edu] and have successfully implemented most parts. I used polyexpand2d to create the skeleton and made cuts along the skeleton points to the border. However, I am now struggling to select specific points along the center line, as highlighted in the attached image, and I'm unsure how to achieve this. Need help.

Anyone who know how to procedurally achieve selecting the highlighted points in the attached Image?