A clamped spline is a type of spline interpolation where the first and last derivatives are specified, ensuring that the curve matches the slope of the data at the endpoints. This boundary condition provides more control over the shape of the spline, making it useful for applications requiring smooth transitions at the boundaries of the data set.

Clamped Spline

clamped spline

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

first and last derivatives

Curve matching

slope of the data

boundary condition

control over the shape

smooth transitions

boundaries of the data set

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