Splineinterpooleerimine
Splineinterpooleerimine, or spline interpolation, is a mathematical technique used for constructing smooth curves that pass through a given set of data points. It is a form of piecewise polynomial interpolation where the data points are connected by polynomial segments, known as splines, which are chosen to ensure smoothness at the junctions. This method is widely used in numerical analysis, computer graphics, and data fitting due to its ability to produce smooth and visually appealing curves that accurately follow the underlying data.
The most common type of spline interpolation is cubic spline interpolation, where each segment between data
In practical applications, spline interpolation provides advantages over simple polynomial interpolation, such as avoiding Runge’s phenomenon
The process typically involves solving a system of linear equations to determine the polynomial coefficients for
Overall, spline interpolation is a fundamental tool in computational mathematics and engineering, facilitating smooth data representation