It happened around 4:30 a.m. Wednesday near Central Avenue and Madison Street in Bushwick.
Authorities say the 22-year-old woman woke up from the noise and confronted the man, who forced her into a bedroom where he raped her.
The man then stole her cellphone and wallet with $65 in cash and credit cards before fleeing the scene.
The woman was taken in stable condition to Interfaith Hospital.
"She is going through a very difficult time," NYPD Chief of Detectives Rodney Harrison said. "She went through a horrific incident."
Police released very clear surveillance images of the man wanted in the rape taken before and after the attack. He can even be seen dancing at one point in the surveillance video.
He's described as a black man in his mid 20s, approximately 5-foot-8 and 150 pounds with a thin build and a full beard.
He was last seen wearing blue Adidas sweatpants with white stripes, a multi-colored hooded winter jacket, a black hooded sweatshirt, black sneakers and a light blue crocheted cap.
Anyone with information in regard to this incident is asked to call the NYPD's Crime Stoppers Hotline at 1-800-577-TIPS (8477) or for Spanish, 1-888-57-PISTA (74782).
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