The judge did, however, give permission for the Core Issues Trust to appeal to the Court of Appeal.
Although she did not think such an appeal would succeed, she said there were "compelling reasons" to allow it to go ahead.
She said the case "concerns interference with the right to freedom of expression which is a matter of such fundamental importance that it merits consideration by the appellant court."
More top news
The tour of European capitals was timed to coincide with the start of the Article 50 process to exit the EU.
The Football League will introduce the project if the family of PC Keith Palmer supports the idea.
After the terror attacks, Londoners are starting to reclaim Westminster Bridge - proof already that life is returning to normal.