David Regen was sitting down to dinner Tuesday night when two police officers appeared at his home under circumstances that will instantly evoke envy from any New Yorker who has ever been issued a ticket.

The officers had come over to apologize for a ticket issued to him earlier that day.

“They said, ‘We’re here because we’re withdrawing your ticket because we feel you were treated unfairly,’ ” Mr. Regen recalled about an hour later in a telephone interview.

The ticket was for speeding through Central Park on a bicycle some 13 hours earlier. Mr. Regen, who lives on West End Avenue at 103rd Street, was one of 10 cyclists caught Tuesday morning on a police speed gun, a rarity during the early-morning hours in Central Park, when cars are not allowed on most of the roads.