Discrete spline interpolation

<p>In the mathematical field of <a href="/facts/Numerical_analysis/QT9cYa9z">numerical analysis</a>, discrete spline interpolation is a form of <a href="/facts/Interpolation/8PyetX4f">interpolation</a> where the <a href="/facts/Interpolant/8PyetX4f">interpolant</a> is a special type of <a href="/facts/Piecewise/nlQwptpe">piecewise</a> <a href="/facts/Polynomial/Lzak8VVx">polynomial</a> called a discrete spline. A discrete spline is a piecewise polynomial such that its <a href="/facts/Central_difference/aY1txFhj">central differences</a> are <a href="/facts/Continuous_function/sKbl02pB">continuous</a> at the knots whereas a <a href="/facts/Spline_(mathematics)/yafkQtqp">spline</a> is a piecewise polynomial such that its <a href="/facts/Derivative/7Ito70Dh">derivatives</a> are continuous at the knots. Discrete cubic splines are discrete splines where the central differences of orders 0, 1, and 2 are required to be continuous.
</p><p>Discrete splines were introduced by Mangasarin and Schumaker in 1971 as solutions of certain minimization problems involving differences.
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Discrete spline interpolation open-in-new

Discrete spline interpolation