Hello.
I am making a tool and I need to blast out the points circled in red. The shape is made procedurally, and the amount of points will vary. how should I delete these points? thanks.

you can try Facet SOP/Remove Inline Points and play with distance

john-wright
Hello.
how should I delete these points? thanks.

Hi John !

Algorithmically you would take the vector from one point to the next connected point, and you would delete any point, that can be described by adding this vector to the start point. Thats what "inline point" means. The actual mathematical term is colinearity.

Basically, if the Equation Start+(End-Start)*l=TestPoint has a solution in l then this point can be deleted.

Here's the mathematical backgrund on this topic.
Coplanarity [en.wikipedia.org] and Collinearity [en.wikipedia.org]