Interpolation 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 ...

is a method of constructing new data points within the range of a discrete set of known data points in the mathematical field of numerical analysis. Interpolation may also refer to:

Science and technology

Interpolation space In the field of mathematical analysis, an interpolation space is a space which lies "in between" two other Banach spaces. The main applications are in Sobolev spaces, where spaces of functions that have a noninteger number of derivatives are interpo ...

, in mathematical analysis, the space "in between" two other Banach spaces *

Craig interpolation In mathematical logic, Craig's interpolation theorem is a result about the relationship between different logical theories. Roughly stated, the theorem says that if a formula φ implies a formula ψ, and the two have at least one atomic variable ...

, in mathematical logic, a result about the relationship between logical theories * Interpolation (computer graphics), the generation of intermediate frames **

Image scaling In computer graphics and digital imaging, image scaling refers to the resizing of a digital image. In video technology, the magnification of digital material is known as upscaling or resolution enhancement. When scaling a vector graphic image ...

, the resizing of a digital image **

Inbetweening Inbetweening, also known as tweening, is a process in animation that involves creating intermediate frames, called inbetweens, between two keyframes. The intended result is to create the illusion of movement by smoothly transitioning one image in ...

, the generation of intermediate video frames **

Motion interpolation Motion interpolation or motion-compensated frame interpolation (MCFI) is a form of video processing in which intermediate animation frames are generated between existing ones by means of interpolation, in an attempt to make animation more fluid, t ...

, a form of video processing * Interpolation theory, an explanation of the alternation of generations in plants *

String interpolation In computer programming, string interpolation (or variable interpolation, variable substitution, or variable expansion) is the process of evaluating a string literal containing one or more placeholders, yielding a result in which the placeholders ...

, in computing, the substitution of variables by their values

Music

Interpolation (classical music) For music of the Classical period, "interpolation" is defined in the context of a musical sentence or period as "unrelated material inserted between two logically succeeding functions". This device is commonly used to extend what would normall ...

, musical material inserted between two logically succeeding functions *

Interpolation (popular music) In popular music, interpolation (also called a replayed sample) refers to using a melody—or portions of a melody (often with modified lyrics)—from a previously recorded song but re-recording the melody instead of sampling it. Interpolation ...

, the inclusion of a re-recorded (rather than sampled) melody from a previous song

Manuscripts

Interpolation (manuscripts) An interpolation, in relation to literature and especially ancient manuscripts, is an entry or passage in a text that was not written by the original author. As there are often several generations of copies between an extant copy of an ancient tex ...

, a passage not written by the original author **

Christian interpolation In textual criticism, Christian interpolation generally refers to textual insertion and textual damage to Jewish and pagan source texts during Christian scribal transmission. Old Testament pseudepigrapha Notable examples among the body of texts ...

, the insertion of Christian text into Jewish or secular manuscripts {{disambig