Minority Report (film) was envisioned in 1999. Underkoffler, who designed most of Anderton's interface after Spielberg told him to make it "like conducting an orchestra", said "it would be hard to identify anything [in the movie] that had no grounding in reality." McDowell teamed up with architect Greg Lynn to work on some of the technical aspects of the production design. Lynn praised his work, saying that "[a] lot of those things Alex cooked up for "Minority Report", like the 3-D screens, have become real." Spielberg described his ideas for the film's technology to Roger Ebert before the movie's release: "Minority Report" was
Directed set Directed set In mathematics, a directed set (or a directed preorder or a filtered set) is a nonempty set "A" together with a reflexive and transitive binary relation ≤ (that is, a preorder), with the additional property that every pair of elements has an upper bound. In other words, for any "a" and "b" in "A" there must exist "c" in "A" with "a" ≤ "c" and "b" ≤ "c". The notion defined above is sometimes called an upward directed set. A downward directed set is defined analogously, meaning when every pair of elements is bounded below. Some authors (and