He took months or longer to finish a work, but it took critics and collectors years to catch up to him. A towering and uncompromising figure in the art world for more than 50 years, Freud died late Wednesday night in his London home, his New York-based art dealer said Thursday. He was 88. Spokeswoman Bettina Prentice said that Freud died after an illness, but didn’t give any further details. He painted “until the day he died, far removed from the noise of the art world,” his dealer, William R. Acquavella, said in a statement. Freud’s unique style eventually earned him recognition as one of the world’s greatest painters. His paintings command staggering prices at auction, including one of an overweight nude woman sleeping on a couch that sold in 2008 for $33.6 million — a record for a living artist. “He certainly is considered one of the most important painters of the 20th and 21st centuries,” said Brett Gorvy, deputy chairman of the postwar art department at Christie’s auction house in New York. “He stayed with his figurative approach even when it was extremely unpopular, when abstraction was the leading concept, and as time moved on his classic approach has proven to be very important. “He fought the system and basically won.” A grandson of Sigmund Freud, a leading pioneer of modern psychoanalysis, Freud was especially known for his nudes. He meticulously revealed every flaw, creating an intimate, unflinching level of detail that sometimes leaves viewers uncomfortable. “He has certainly divided critics,” said Starr Figura, a curator at the Museum of Modern Art in New York.