Overview of basic ideas

Note that I am just focussing now on the idea that basal pterosaurs evolved into basal Paraves and not on the following: 

The pterosaur to bird theory contains two basic ideas, that differ from current mainstream thinking.
The first idea is that pterosaurs developed into a set of primitive bird lines.
The second is that EACH ONE of those primitive bird lines then developed into a set of corresponding modern birds, in what might be called a set of "parallel lines".

For example:
Seabirds (Ichthyornithes line)

• Pterosaur (Ornithocheiroidea) eg. Pteranodon --> 
• An Ichthyornithes subgroup --> 
• Gulls, Skimmers (Charadriiformes/Lari)

Here we see one of the parallel lines of primitive birds (Ichthyornithes), developing into the set of corresponding modern birds.

If any of this is not clear, I invite questions and comments.

Note: Most of the posts on this site present evidence supporting the pterosaur to bird theory. Some of the posts show the flaws in the current, mainstream dinosaur to bird theory. I have put an asterisk (*) at the beginning of the post titles that are on the flaws of the dinosaur to bird theory.