Approximation vs. Interpolation — What's the Difference?

An approximation is anything that is intentionally similar but not exactly equal to something else.

In the mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing (finding) new data points based on the range of a discrete set of known data points.In engineering and science, one often has a number of data points, obtained by sampling or experimentation, which represent the values of a function for a limited number of values of the independent variable. It is often required to interpolate; that is, estimate the value of that function for an intermediate value of the independent variable.

The act, process, or result of approximating.

To insert or introduce between other elements or parts.

(Mathematics) An inexact result adequate for a given purpose.

To insert (material) into a text.

The act, process or result of approximating, as:

To insert into a conversation.

(mathematics) An imprecise solution or result that is adequate for a defined purpose.

To change or falsify (a text) by introducing new or incorrect material.

(medicine) The act of bringing together the edges of tissue to be sutured.

To estimate a value of (a function or series) between two known values.

(linguistics) The act of producing a near-simulation of the pronunciation of a foreign language for a loanword therefrom, or any given pronunciation resulting from that act.

To create a continuous function that incorporates (a finite set of data), such as creating a curve that passes through a fixed set of points or a surface through a fixed set of curves.

The act of approximating; a drawing, advancing or being near; approach; also, the result of approximating.

To introduce estimated values of (pixel data) into a pixel array to improve the quality of an enlarged digital image.

An approach to a correct estimate, calculation, or conception, or to a given quantity, quality, etc.

To make insertions or additions.

A continual approach or coming nearer to a result; as, to solve an equation by approximation.

(music) An abrupt change in elements, with continuation of the first idea.

An approximate calculation of quantity or degree or worth;

The process of estimating the value of a function at a point from its values at nearby points.

The quality of coming near to identity (especially close in quantity)

(computing) The process of including and processing externally-fetched data in a document or program; see interpolate.

An imprecise or incomplete account;

That which is introduced or inserted; in contexts of content analysis of centuries-old texts, especially something foreign or spurious.

The act of bringing near or bringing together especially the cut edges of tissue

(music) The use of a melody from a previously recorded song, but recreated rather than sampled from that recording.

The act of introducing or inserting anything, especially that which is spurious or foreign.

That which is introduced or inserted, especially something foreign or spurious.

The method or operation of finding from a few given terms of a series, as of numbers or observations, other intermediate terms in conformity with the law of the series.

A message (spoken or written) that is introduced or inserted;

(mathematics) calculation of the value of a function between the values already known

The action of interjecting or interposing an action or remark that interrupts