Interpolácia

Interpolácia is a method of constructing new data points within the range of a discrete set of known data points. It involves finding a function that passes through all the known data points and then using that function to estimate values at points where data is not available. This is a common technique in mathematics, statistics, computer graphics, and signal processing.

The simplest form of interpolation is linear interpolation, which assumes a straight line between two known points. More complex methods include polynomial interpolation, such as quadratic or cubic interpolation, which use curves to fit the data. Spline interpolation is a piecewise polynomial interpolation that offers greater flexibility and smoothness. The choice of interpolation method depends on the nature of the data and the desired accuracy.

Interpolation is used for various purposes, such as estimating values between measurements, resizing images, smoothing curves, and filling in missing data. For example, in computer graphics, interpolation is used to render smooth transitions between pixels or to animate objects. In data analysis, it can be used to estimate values at unsampled times or locations. The accuracy of interpolated values is dependent on the number of data points, their distribution, and the underlying function used for interpolation.