The details of these 3 project filter has follows:
1. Local (Default) - This project filter will show all non archived projects in the local file manager cache database. So in this filter user will see all newly created projects (i.e. projects created by current user and never checked in to server once) and projects checked in/out by the current user.
2. Server - This project filter will show all non archived checked in projects in the server and
which are not checked out to the current user. So in this filter user will see all checked in projects and projects checked out by some other user. If the project is checked out by the current user then it will not displayed in this filter view.
3. Archived - This project filter will show all archived projects in the server.
For more details please see this D-Tools Documentation Wiki link
Project Grid - D-Tools Documentation Wiki
Hope this helps you.
Thanks,
-Hemanth