Met Police commissioner, Sir Mark Rowley, said the High Court ruling was a “significant and important victory for public safety”.
He added: “The courts have confirmed our approach is lawful. The public supports its use. It works. And it helps us keep Londoners safe.
“The question is no longer whether we should use live facial recognition, it’s why we would choose not to.”
In response to the ruling, Thompson said: “No one should be treated like a criminal due to a computer error.
“I was compliant with the police but my bank cards and passport weren’t enough to convince the police the facial recognition tech was wrong.
“It’s like stop and search on steroids. It’s clear the more widely this is used, the more innocent people like me risk being criminalised.”
Plans set out by the Home Office in January will increase the number of vans from 10 to 50 and make them available to all forces across England and Wales.
According to the Met Police, 2,100 arrests have been made since the start of 2024 using the technology.
Last year, more than three million faces walked past the LFR cameras and 12 false alerts were logged, with none leading to an arrest.