The Supreme Court will not hear a Kodak appeal.

The ruling leaves Kodak open to billions of dollars in damages. Last year, after a five-month trial in Boston, federal judge Rya Zobel ruled that Kodak’s line of instant cameras and self-developing film infringed on patents owned by Polaroid, which pioneered instant cameras. The finding was upheld by a federal appeals court in January. Still to be determined are the amount of damages to be awarded to Polaroid, which filed the suit in 1976 after Kodak entered the market. Financial analysts have estimated that the damages could total as much as $2 billion.