Curve interpolation

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A curve is a continuous function from a subset of to a metric space . If the image of the function intersects with some finite set of points , then the curve is said to interpolate .


In general, the problem of curve interpolation fixes a function class for the curves and then asks for an algorithm that for a given set returns an interpolating function from C. In case does not uniquely determine a function, additional conditions might be imposed for the solution.


An aggregate file for curve interpolation

Catmull-Rom spline

Cubic and quintic Hermite polynomials

Kochanek-Bartels spline

Smooth-step function example

Smoothstep functions

Cubic, quartic, and quintic smoothstep functions