[NYCSTRIPES]

During the "perp walk" the perp is still in police custody and not allowed access to the belts and laces. Leaving the holding cell in police custody is still custody. If the perp leaves the stationhouse on his own after being issued a Desk Appearance Ticket for a lesser offense, then he's given back the belt and laces, not for the ride to the booking facility and transfer to corrections personnel. Belts, laces and house keys are kept in an envelope and handed over to the Corrections officer taking further custody of the perp.
In this picture, the perps are still rear cuffed and being transported to the Bronx Central booking facility.
Ken