Linear interpolation

Definition

Linear interpolation is a method used to estimate intermediate values based on two known points by assuming that the relationship between them is linear. It provides rough approximations but does not account for curvature or higher-order derivatives.

Related terms

Interpolation: Interpolation is the process of estimating unknown values within known data points based on assumptions about their relationship.

Extrapolation: Extrapolation involves estimating values beyond known data points based on assumptions about their relationship, which can be less reliable than interpolation.

Piecewise-linear functions: Piecewise-linear functions consist of multiple linear segments joined together over different intervals, often used for approximations in certain scenarios.