# Preimage vs. Image

By Jaxson

• Image

An image (from Latin: imago) is an artifact that depicts visual perception, such as a photograph or other two-dimensional picture, that resembles a subject—usually a physical object—and thus provides a depiction of it. In the context of signal processing, an image is a distributed amplitude of color(s).

Wikipedia
• Preimage (noun)

For a given function, the set of all elements of the domain that are mapped into a given subset of the codomain; given a function ƒ : X → Y and a subset B ⊆ Y, the set ƒ−1(B) = {x ∈ X : ƒ(x) ∈ B}.

“The preimage of {4, 9} under the function f : Rrightarrow R:f(x)=x^2 is the set {-3,-2,+2,+3}.”

• Image (noun)

An optical or other representation of a real object; a graphic; a picture.

“The Bible forbids the worship of graven images.”

• Image (noun)

A mental picture of something not real or not present.

• Image (noun)

A statue or idol.

• Image (noun)

A file that contains all information needed to produce a live working copy. (See disk image, executable image and image copy.)

“Most game console emulators do not come with any ROM images for copyright reasons.”

• Image (noun)

A characteristic of a person, group or company etc., style, manner of dress, how one is, or wishes to be, perceived by others.

• Image (noun)

Something mapped to by a function.

“The number 6 is the image of 3 under f that is defined as f(x) = 2*x.”

• Image (noun)

The subset of a codomain comprising those elements that are images of something.

“The image of this step function is the set of integers.”

• Image (noun)

Show; appearance; cast.

• Image (verb)

To represent by an image or symbol; to portray.

• Image (verb)

To mirror.

• Image (verb)

To create an image of.

• Image (verb)

To create a complete backup copy of a file system or other entity.

Wiktionary
• Image (noun)

a representation of the external form of a person or thing in art

“her work juxtaposed images from serious and popular art”

• Image (noun)

a visible impression obtained by a camera, telescope, microscope, or other device, or displayed on a computer or video screen

“Voyager 2 sent back images of the planet Neptune”

• Image (noun)

an optical appearance or counterpart produced by light from an object reflected in a mirror or refracted through a lens.

• Image (noun)

a point or set formed by mapping from another point or set.

• Image (noun)

an exact copy of a computer’s hard disk, made for backing up data or setting up new machines.

• Image (noun)

a mental representation or idea

“I had a sudden image of Sal bringing me breakfast in bed”

• Image (noun)

a person or thing that closely resembles another

“he’s the image of his father”

• Image (noun)

semblance or likeness

“made in the image of God”

• Image (noun)

(in biblical use) an idol.

• Image (noun)

the general impression that a person, organization, or product presents to the public

“she strives to project an image of youth”

• Image (noun)

a simile or metaphor

“he uses the image of a hole to describe emotional emptiness”

• Image (verb)

make a representation of the external form of

“artworks which imaged women’s bodies”

• Image (verb)

make a visual representation of (something) by scanning it with a detector or electromagnetic beam.

• Image (verb)

make an exact copy of (a computer’s hard disk)

“the hard disk drive should be imaged using a specialized bitstream backup product”

• Image (verb)

form a mental picture or idea of

“it is possible for us to image a society in which no one committed crime”

Oxford Dictionary