Police on Wednesday identified the 26-year-old woman whose severed head, torso, arms and legs were discovered littered across a Brooklyn park.

The dismembered body of Brandy Odom, who lived in the Bay View housing project just across the street from Canarsie park where her corpse was found, was first spotted Monday evening.

A woman walking her dog discovered Odoms head and naked torso partially shrouded in leaves just off a park path near E. 86th St. and Seaview Ave. at 6:10 p.m., police said.

Cops found what they suspect are the victims unclothed arms, legs and other body parts covered in plastic bags as they scoured the park for clues Tuesday.

The park-turned-dumping ground remained closed Wednesday morning, police said.

Authorities have not yet determined how Odom died, but her face was swollen with bruises, with her arms severed at her elbows, and her legs just below her buttocks, a source said.

Whatever happened to Odom occurred elsewhere, a police source said, saying that afterward, her remains were dumped in the park.

Cops said its not clear exactly how long Odoms remains were in the park, but investigators believe they were discarded only a short time before they were discovered.

Police are reviewing surveillance video nearby the park and checking if anyone matching Odoms description had been reported missing.