In mathematics and applications, the signed distance function of a set Ω in a metric space, also called the oriented distance function, determines the distance of a given point x from the boundary of Ω, with the sign determined by whether x is in Ω. The function has positive values at points x inside Ω, it decreases in value as x approaches the boundary of Ω where the signed distance function is zero, and it takes negative values outside of Ω.
Read more about Signed Distance Function: Definition, Properties in Euclidean Space, See Also
Famous quotes containing the words signed, distance and/or function:
“Bernstein: Girls delightful in Cuba stop. Could send you prose poems about scenery but dont feel right spending your money stop. There is no war in Cuba. Signed Wheeler. Any answer?
Charles Foster Kane: YesDear Wheeler, You provide the prose poems, Ill provide the war.”
—Orson Welles (19151985)
“Why does the past look so enticing to us? For the same reason why from a distance a meadow with flowers looks like a flower bed.”
—Franz Grillparzer (17911872)
“The art of living is to function in society without doing violence to ones own needs or to the needs of others. The art of mothering is to teach the art of living to children.”
—Elaine Heffner (20th century)