Spline interpolation is a mathematical method used to construct a smooth curve through a set of data points. It leverages piecewise polynomial functions, known as splines, to achieve a balance between flexibility and smoothness, minimizing oscillations that can occur with higher-degree polynomials.

Spline Interpolation

Spline interpolation

mathematical method

smooth curve

Data points are individual units of information collected and used for analysis, often represented as values or measurements in a dataset. They are crucial for identifying trends, making predictions, and driving decision-making in various fields such as science, business, and technology.

data points

piecewise polynomial functions

Splines are piecewise polynomial functions used for interpolation and smoothing of data, providing a flexible and efficient way to approximate complex shapes and curves. They are widely utilized in computer graphics, numerical analysis, and data fitting due to their ability to maintain smoothness and continuity at the points where the polynomial pieces connect, known as knots.

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