Difference between Interpolation and Extrapolation Last Updated : 21 Oct, 2021 Summarize Comments Improve Suggest changes Share Like Article Like Report 1. Interpolation :Interpolation refers to the estimation of a single value from two known values which are given from a sequence of values. 2. Extrapolation :Extrapolation refers to the estimation of a single value from the given sequence of values where the background of values is known at certain times. More precisely, we can define interpolation and extrapolation is as follows: Suppose that we are given the following tabulated values of the function f(x) corresponding to a discrete set of values of x: Interpolation is the process of finding the value of f(x) corresponding to any untabulated value of x between x0 and xn. The process of finding the value of f(x) for some value of x outside the given range [x0, xn] is called extrapolation. It assumes that the behaviour of f(x) outside the given range is identical to the behaviour of f(x) inside the given range and this may not always be valid. Difference between Interpolation and Extrapolation is as follows: Sr. No. Interpolation Extrapolation 1.Interpolation means reading a value which lies between two extreme points.Extrapolation means reading a value which lies outside two extreme values.2.It supplies us the missing link.It helps in forecasting.3.It refers to the insertion of an intermediate value in the series of terms.It refers to projecting a value for the future.4.It can be calculated graphically. It is one of the simplest method of interpolation.Graphic method is not applied for extrapolation.5.When records of some period are lost, figures relating to such projects may be estimated to complete the records by interpolation.It plays significant role in economic planning. For economic planning, projection of future data is essential. This is done by extrapolation.6.It is the estimation of a most likely estimate in given conditions. The technique of estimating a past figure in termed as interpolation.Estimating a probable figure for future is called extrapolation.7.Interpolation is preferred because we have a greater likelihood of obtaining a valid estimate.In extrapolation, we are making the assumption that our observed trend continues for values of x outside the range. We used to form our model. This may not be the case. So we must be very careful while using extrapolation. Comment More infoAdvertise with us Next Article Difference between Interpolation and Extrapolation I itskawal2000 Follow Improve Article Tags : Engineering Mathematics computer-graphics Similar Reads Difference between Image Sampling and Quantization To create a digital image, we need to convert the continuous sensed data into digital form. This process includes 2 processes: Sampling: Digitizing the co-ordinate value is called sampling. Quantization: Digitizing the amplitude value is called quantization. To convert a continuous image f(x, y) int 1 min read Difference between Spline, B-Spline and Bezier Curves Spline, B-Spline and Bezier Curves are all methods used for creating smooth curves in computer graphics, geometry, and data fitting, but they differ in terms of construction, flexibility, and control over the shape of the curve.Key differences between them are:FeatureSplineB-SplineBezier CurvesDefin 5 min read Difference between Newton Raphson Method and Regular Falsi Method Numerical computations play an important role in solving real-life mathematical problems. Numerical methods are the procedures by applying arithmetic operations one can formulate mathematical problems to find the approximate result. In this, there is no need for algorithms, because numerical methods 5 min read Difference between Interlaced Scan and Progressive Scan Interlaced Scan and Progressive Scan are the formation scanning technique wide employed in analog video system. Interlaced Scanning: Interlaced Scanning takes place over dividing one frame. In interlaced scan, the displaying video speed is lesser than progressive scan. In interlaced scan, the video 2 min read Difference between Bisection Method and Newton Raphson Method Numerical methods are the set of tasks by applying arithmetic operations to numerical equations. We can formulate mathematical problems to find the approximate result. This formulation is called the numerical implementation of the problem. In this, there is no need for algorithms. Programming logic 8 min read Like