Definition
If (X, d) is a metric space, the signed distance function f is defined by
where
and 'inf' denotes the infimum.
Algorithms for calculating the signed distance function include the efficient fast marching method and the more general but slower level set method.
Signed distance functions are applied for example in computer vision.
Read more about this topic: Signed Distance Function
Famous quotes containing the word definition:
“Was man made stupid to see his own stupidity?
Is God by definition indifferent, beyond us all?
Is the eternal truth man’s fighting soul
Wherein the Beast ravens in its own avidity?”
—Richard Eberhart (b. 1904)
“No man, not even a doctor, ever gives any other definition of what a nurse should be than this—”devoted and obedient.” This definition would do just as well for a porter. It might even do for a horse. It would not do for a policeman.”
—Florence Nightingale (1820–1910)
“I’m beginning to think that the proper definition of “Man” is “an animal that writes letters.””
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)